Free Printable Topic 2 & 3 Test Review

1.

The coordinates of the point P(8, 8) under dilation about the origin is P'(4, 4).

What is the scale factor of the dilation?

a)

4

b)

2

c)

$\frac{1}{2}$

d)

$\frac{1}{4}$

2.

The △ABC is dilated to △A'B'C' as shown in the figure below.

What is the scale factor?

a)

4

b)

3

c)

$\frac{1}{3}$

3.

What is the scale factor when a dilation is performed on rectangle EFGH to create rectangle E'F'G'H' ?

a)

2

b)

3

c)

$\frac{1}{2}$

d)

$\frac{1}{3}$

4.

Is the transformation shown below a dilation?

a)

Yes

b)

No

5.

Which image shows a dilation of triangle ABC using a scale factor of $\frac{1}{2}$ ?

a)

b)

6.

Identify which image can be created when triangle ABC is dilated by a scale factor of $\frac{1}{3}$ .

a)

b)

7.

Identify if the dilation will enlarge or reduce.

a)

Enlarge

b)

Reduce

8.

Identify if the dilation will enlarge or reduce.

a)

Enlarge

b)

Reduce

9.

Identify if the dilation will enlarge or reduce.

a)

Enlarge

b)

Reduce

10.

Identify if the dilation will enlarge or reduce.

a)

Enlarge

b)

Reduce

11.

Identify if the dilation will enlarge or reduce.

a)

Enlarge

b)

Reduce

12.

Identify if the dilation will enlarge or reduce.

a)

Enlarge

b)

Reduce

13.

The triangles in each pair are similar. Identify the congruent corresponding angles of each triangle.

a)

∠A ≅ ∠A'

b)

∠A ≅ ∠B'

c)

∠A ≅ ∠P

d)

∠A ≅ ∠C'

e)

∠A ≅ ∠ABC'

14.

The triangles in each pair are similar. Identify the ratios to identify the proportional sides of each triangle.

a)

$\frac{AB}{A'B'}=\frac{BC}{B'C'}=\frac{CA}{C'A'}$

b)

$\frac{AB'}{A'B}=\frac{BC'}{B'C'}=\frac{CA'}{C'A'}$

c)

$\frac{AC}{A'B'}=\frac{BA}{B'C'}=\frac{CA}{C'A'}$

15.

The triangles in each pair are similar. Identify the congruent corresponding angles of each triangle.

a)

∠E ≅ ∠F'

b)

∠D ≅ ∠D'

c)

∠F ≅ ∠P

d)

∠F ≅ ∠E'

e)

∠D ≅ ∠DEF'

16.

The triangles in each pair are similar. Identify the ratios to identify the proportional sides of each triangle.

a)

$\frac{D'E'}{E'F'}=\frac{F'D'}{EF}=\frac{FD}{DE'}$

b)

$\frac{DE}{D'E'}=\frac{EF}{E'F'}=\frac{FD}{F'D'}$

c)

$\frac{EF'}{D'F}=\frac{ED'}{E'D'}=\frac{EF'}{D'F'}$

17.

The triangles in each pair are similar. Identify the congruent corresponding angles of each triangle.

a)

∠A ≅ ∠E

b)

∠C ≅ ∠E

c)

∠A ≅ ∠P

d)

∠B ≅ ∠E

e)

∠B ≅ ∠DEF

18.

The triangles in each pair are similar. Identify the ratios to identify the proportional sides of each triangle.

a)

$\frac{AB}{EF}=\frac{BC}{EF}=\frac{CA}{DE}$

b)

$\frac{AB}{DE}=\frac{BC}{EF}=\frac{CA}{FD}$

c)

$\frac{FD}{BC}=\frac{AD}{CF}=\frac{FD}{EF}$

19.

The triangles in each pair are similar. Identify the congruent corresponding angles of each triangle.

(select three answers)

a)

∠F ≅ ∠X

b)

∠G ≅ ∠Y

c)

∠H ≅ ∠Z

d)

∠F ≅ ∠Z

e)

∠G ≅ ∠Z

20.

The triangles in each pair are similar. Identify the ratios to identify the proportional sides of each triangle.

(select three answers)

a)

$\frac{FG}{XY}$

b)

$\frac{GH}{YZ}$

c)

$\frac{HF}{ZX}$

d)

$\frac{FH}{ZY}$

e)

$\frac{GY}{HX}$

21.

The triangles in each pair are similar. Identify the congruent corresponding angles of each triangle.

∆ABC ∼ ∆MNP

(select three answers)

a)

∠A ≅ ∠M

b)

∠B ≅ ∠N

c)

∠C ≅ ∠P

d)

∠B ≅ ∠P

e)

∠A ≅ ∠B

22.

The triangles in each pair are similar. Identify the ratios to identify the proportional sides of each triangle.

∆ABC ∼ ∆MNP

(select three answers)

a)

$\frac{AB}{MN}$

b)

$\frac{BC}{NP}$

c)

$\frac{CA}{PM}$

d)

$\frac{AN}{PM}$

e)

$\frac{MN}{BC}$

23.

These quadrilaterals are similar. Identify the congruent corresponding angles.

Quadrilateral RSTU ∼ Quadrilateral WXYZ

(select all correct answers)

a)

∠R ≅ ∠Z

b)

∠S ≅ ∠X

c)

∠T ≅ ∠Y

d)

∠U ≅ ∠Z

e)

∠R ≅ ∠W

24.

These quadrilaterals are similar. Identify the ratios to identify the proportional sides.

Quadrilateral RSTU ∼ Quadrilateral WXYZ

(select all correct answers)

a)

$\frac{RS}{WX}$

b)

$\frac{ST}{XY}$

c)

$\frac{RT}{WZ}$

d)

$\frac{TU}{YZ}$

e)

$\frac{UR}{ZW}$

25.

The triangles in each pair are similar. Identify the congruent corresponding angles of each triangle.

∆XYZ ∼ ∆GHJ

(select all correct answers)

a)

∠X ≅ ∠G

b)

∠Y ≅ ∠H

c)

∠X ≅ ∠H

d)

∠Z ≅ ∠J

e)

∠X ≅ ∠J

26.

The triangles in each pair are similar. Identify the ratios to identify the proportional sides of each triangle.

∆XYZ ∼ ∆GHJ

(select all correct answers)

a)

$\frac{XY}{GH}$

b)

$\frac{YZ}{HJ}$

c)

$\frac{ZX}{JG}$

d)

$\frac{XY}{GJ}$

e)

$\frac{XZ}{JH}$

27.

These pentagons are similar. Identify the congruent corresponding angles.

(select all correct answers)

a)

∠K ≅ ∠R

b)

∠L ≅ ∠S

c)

∠M ≅ ∠T

d)

∠O ≅ ∠U

e)

∠N ≅ ∠V

28.

These pentagons are similar. Identify the ratios to identify the proportional sides.

(select all correct answers)

a)

$\frac{OK}{TU}$

b)

$\frac{LM}{ST}$

c)

$\frac{MN}{TU}$

d)

$\frac{NO}{UV}$

e)

$\frac{OK}{RS}$

29.

A flag is represented by the coordinates A(3, 9), B ( 15, 9 ) , C ( 15, 3 ) , and D ( 3, 3 ) . Suppose you were to dilate the figure by a scale factor of   $\frac{1}{3}$ using the origin as the center of dilation.

What are the coordinates for angle A' of the dilated figure?

a)

A' (1, 3)

b)

A' (1, 9)

c)

A' (3, 3)

d)

A' (9, 27)

30.

A flag is represented by the coordinates A(3, 9), B ( 15, 9 ) , C ( 15, 3 ) , and D ( 3, 3 ) . Suppose you were to dilate the figure by a scale factor of   $\frac{1}{3}$ using the origin as the center of dilation.

What are the coordinates for angle B' of the dilated figure?

a)

B' (5, 3)

b)

B' (5, 9)

c)

B' (15, 3)

d)

B' (45, 27)

31.

A flag is represented by the coordinates A(3, 9), B ( 15, 9 ) , C ( 15, 3 ) , and D ( 3, 3 ) . Suppose you were to dilate the figure by a scale factor of   $\frac{1}{3}$ using the origin as the center of dilation.

Is the image congruent or similar to the pre-image?

a)

Congruent

b)

Similar

32.

How does dilating a figure affect it's perimeter?

4 lines

33.

How does dilating a figure affect it's area?

4 lines

34.

Does dilating an image create an image congruent to the pre-image?

a)

Yes

b)

No

35.

Does dilating an image create an image similar to the pre-image?

a)

Yes

b)

No

36.

The coordinates of the point P(8, 8) under dilation about the origin is P'(4, 4).

What is the scale factor of the dilation?

a)

$\frac{1}{2}$

b)

2

c)

8

d)

4

37.

The △ABC is dilated to △A'B'C' as shown in the figure below.

What is the scale factor?

a)

4

b)

3

c)

$\frac{1}{3}$

38.

What is the scale factor when a dilation is performed on rectangle EFGH to create rectangle E'F'G'H' ?

a)

2

b)

3

c)

$\frac{1}{2}$

d)

$\frac{1}{3}$

39.

Is the transformation shown below a dilation?

a)

Yes

b)

No

40.

Which image shows a dilation of triangle ABC using a scale factor of $\frac{1}{2}$ ?

a)

b)

41.

P' is the image of point P(1, 2) under dilation about the origin by a scale factor of 2. What are the coordinates of P'?

a)

(2, 4)

b)

(4, 4)

42.

P' is the image of point P(1, 2) under dilation about the origin by a scale factor of 2. Identify the rule applied.

a)

$\left(2x,\ 2y\right)$

b)

$\left(\frac{1}{2}x,\ \frac{1}{2}y\right)$

c)

$\left(\frac{1}{2}+x,\ \frac{1}{2}+y\right)$

d)

$\left(2+x,\ 2+y\right)$

43.

△ABC with vertices A (1, 2), B (1, 3), and C (3, 1) is dilated from the origin with a scale factor of 2, to create △A'B'C'.

What are the coordinates of the △A'B'C'?

a)

A' (4, 2), B' (6, 2), and C' (6, 2)

b)

A' (2, 4), B' (2, 6), and C' (6, 2)

c)

A' (4, 4), B' (2, 4), and C' (2, 4)

44.

Rectangle ABCD is dilated about the origin with a scale factor of $\frac{1}{2}$ , to create rectangle A'B'C'D'.

What is the length of side A'B'?

a)

3 units

b)

2 units

c)

4 units

45.

Are the figures similar?

a)

Yes

b)

No

46.

If trapezoid ABCD is the pre-image, what is the scale factor for the dialation?

a)

2

b)

$\frac{1}{2}$

c)

5

d)

10

47.

An artist replicates a Berlin Wall painting featuring a trapezoid. In the replica, the trapezoid's shorter base is 3.75 inches. What is the height h (in inches) of the trapezoid in the replica?

a)

4.7

b)

3

c)

4

48.

The two rectangles are similar. What is the length of side h (in meters) on the smaller rectangle?

a)

5

b)

8

c)

6

d)

2

49.

In a scale drawing, the dimensions of the shown square are doubled.

Complete the statement.

The area of the square shown is _____ centimeters.

a)

9

b)

6

c)

12

d)

18

50.

In a scale drawing, the dimensions of the shown square are doubled.

Complete the statement.

The area of square in the scale drawing will be _____ times the actual area.

a)

3²

b)

6²

c)

2²

d)

9²

51.

In a scale drawing, the dimensions of the shown square are doubled.

Complete the statement.

The area of square in the scale drawing will be _____ centimeters.

a)

9

b)

4

c)

36

d)

12

52.

In a scale drawing, the dimensions of the shown square are doubled.

Complete the statement.

The perimeter of the square shown is _____ centimeters.

a)

12

b)

2

c)

9

d)

6

53.

In a scale drawing, the dimensions of the shown square are doubled.

Complete the statement.

The perimeter of square in the scale drawing will be _____ times the actual perimeter.

a)

12

b)

2

c)

9

d)

6

54.

In a scale drawing, the dimensions of the shown square are doubled.

What will the perimeter of the dilated figure be?

a)

12

b)

24

c)

2

d)

18

55.

In a scale drawing, the dimensions of the shown triangle are tripled.

Complete the statement.  

The perimeter of triangle in the scale drawing will be _____ times the actual perimeter.

a)

10

b)

9

c)

6

d)

3

56.

In a scale drawing, the dimensions of the shown triangle are tripled.

Complete the statement.  

The area of triangle in the scale drawing will be _____ times the actual area.

a)

10

b)

9

c)

6

d)

3

57.

In a scale drawing, the dimensions of the shown triangle are tripled.

The area of the triangle shown is _____ centimeters.

a)

12

b)

10

c)

24

d)

20

58.

In a scale drawing, the dimensions of the shown triangle are tripled.

The area of the dilated triangle will be _____ centimeters.

a)

12

b)

108

c)

81

d)

72

59.

A rectangular garden is 10 meters long and 6 meters wide. What is the area of the figure in meters squared?

a)

60

b)

16

c)

30

d)

4

60.

A rectangular garden is 10 meters long and 6 meters wide. In a scale drawing, if the scale factor is half, what is the area in the scale drawing?

a)

60

b)

15

c)

30

d)

16

61.

A rectangular garden is 10 meters long and 6 meters wide. In a scale drawing, if the dimensions are halved, what is the ratio of the actual area to the area in the scale drawing?

a)

2:1

b)

1:2

c)

1:4

d)

4:1

62.

A point P(x, y) goes under dilation by a scale factor of 0.4 about the origin. What are the coordinates of the new point P'?

a)

(0.4x, 0.4y)

b)

(4x, 4y)

c)

(0.4+x, 0.4+y)

63.

Rectangle JKLM is dilated about the origin by a scale factor of 2 to form rectangle J'K'L'M'.

Find the length of the new side J'K'.

a)

8 units

b)

12 units

c)

4 units

64.

Rectangle JKLM is dilated about the origin by a scale factor of 2 to form rectangle J'K'L'M'.

What rule was applied?

a)

(2x, 2y)

b)

(4x, 2y)

c)

(2x, 4y)

d)

(4x, 4y)

65.

Rectangle JKLM is dilated about the origin by a scale factor of 2 to form rectangle J'K'L'M'.

Find the area of the new rectangle J'K'L'M'.

a)

32 square units

b)

12 square units

c)

8 square units

66.

Are the triangles ABC and DEF similar?

a)

Yes

b)

No

67.

If triangle ABC is the pre-image, what statements are true about the dilation?

a)

Reduced

b)

Englarged

c)

Scale Factor of 1

d)

Scale factor greater than 1

e)

Scale factor less than 1

68.

If triangle ABC is the pre-image, what is the scale factor for the dilation?

a)

2

b)

4

c)

$\frac{1}{2}$

d)

3

69.

Given triangles ABC and DEF are similar, what is the value of x?

a)

4 cm

b)

16 cm

c)

5cm

70.

If triangle ABC is the pre-image, what statements are true about the dilation?

a)

It will reduce.

b)

It will enlarge.

c)

The scale factor is 1.

d)

The scale factor is less than 1.

e)

The scale factor is greater than 1.

71.

If triangle ABC is the pre-image, what rule will be applied for the dilation?

a)

$\left(\frac{1}{2}x,\ \frac{1}{2}y\right)$

b)

$\left(x+\frac{1}{2},\ y+\frac{1}{2}\right)$

c)

(2x, 2y)

d)

(x+2, y+2)

72.

A tree is 24 ft tall and casts a shadow of 16 ft. A woman is 6 ft tall. Using similar triangles, what is the length of the woman's shadow?

a)

4 ft

b)

2 ft

c)

8 ft

d)

12ft

73.

The table shows the coordinates of the vertices of a pentagon ABCDE.

Pentagon ABCDE is dilated by scale factor of $\frac{7}{3}$ with the origin as the center of dilation to create pentagon A'B'C'D'E'. If (x, y) represents the location of any point on pentagon ABCDE, which ordered pair represents the location of the corresponding point on pentagon A'B'C'D'E'?

a)

$\left(\frac{3}{7}x,\ \frac{3}{7}y\right)$

b)

$\left(x+\frac{3}{7},\ y+\frac{3}{7}\right)$

c)

$\left(\frac{7}{3}x,\ \frac{7}{3}y\right)$

d)

$\left(x+\frac{7}{3},\ y+\frac{7}{3}\right)$

74.

The coordinates of the vertices of triangle XYZ are X(-2, -1), Y(6, 8), and Z(8, 4). Triangle XYZ is dilated by a scale factor of $\frac{3}{2}$ with the origin as the center of dilation to create triangle X'Y'Z.

If (x, y) represents the location of any point on triangle XYZ, which ordered pair represents the location of the corresponding point on triangle X'Y'Z'?

a)

$\left(\frac{3}{2}x,\ \frac{3}{2}y\right)$

b)

$\left(x+\frac{3}{2},\ y+\frac{3}{2}\right)$

c)

$\left(x+\frac{2}{3},\ y+\frac{2}{3}\right)$

d)

$\left(\frac{2}{3}x,\ \frac{2}{3}y\right)$

75.

If lines r and t are parallel and cut by transversal q, which pair of angles represent corresponding angles?

a)

∠1 and ∠2

b)

∠1 and ∠4

c)

∠2 and ∠3

d)

∠2 and ∠4

76.

Lines m and n are parallel, and q is the transversal.

Solve for x.

a)

60

b)

30

c)

40

d)

20

77.

Lines m and l are parallel and p is the transversal.

The angle between line l and line q is 30°.

What are the measures of ∠1 and ∠2?

a)

60°, 60°

b)

30°, 30°

c)

60°, 30°

d)

30°, 60°

78.

If lines p and q are parallel lines, cut by transveral r, which angles are a pair of interior angles?

a)

∠3 and ∠4

b)

∠2 and ∠3

c)

∠1 and ∠4

d)

∠1 and ∠3

79.

What is the measure of ∠1?

a)

∠1=120°

b)

∠1=60°

c)

∠1=180°

d)

∠1=20°

80.

If ∠a=(2x)°, then find the value of x.

a)

30

b)

60

c)

45

d)

120

81.

If parallel lines r and t are cut by the transversal p, what is the value of x in the figure below?

a)

80

b)

90

c)

110

d)

180

82.

If parallel lines r and t are cut by transversal q, what is the value of x?

a)

65

b)

180

c)

115

d)

75

83.

A pair of parallel lines p and q are cut by another pair of parallel lines a and b. What is the value of x?

a)

50

b)

150

c)

130

d)

30

84.

What is the measure of ∠XZY?

a)

10

b)

20

c)

40

d)

120

85.

Find the value of x in the given triangle.

a)

24

b)

63

c)

10

d)

117

86.

The measures of the interior angles of a triangle are 90°,
x°, and (3x+10)°. What is the measure of the largest angle of the triangle?

a)

20°

b)

25°

c)

80°

d)

90°

87.

Find the value of x.

a)

72

b)

82

c)

62

d)

36

88.

What is the measure of ∠BCA if the exterior angle is 120°?

a)

72°

b)

60°

c)

48°

d)

120°

89.

From the given figure below find the value of z.

a)

24

b)

68

c)

44

d)

156

90.

Can the angles 85°, 75°, 15° form a triangle?

a)

Yes

b)

No

91.

Under which of the following conditions can a triangle be formed?

P: All sides of length 5 inches

Q: Angles measuring 90°, 40°, and 40°

a)

Neither P nor Q

b)

Both P and Q

c)

Only Q

d)

Only P

92.

Name the largest angle in this triangle.

a)

∠D

b)

∠E

c)

∠F

93.

Identify the shortest side measure.

a)

QP

b)

QM

c)

MP

94.

Name the sides from SMALLEST to LARGEST

a)

RS, ST, TR

b)

ST, RT, RS

c)

RT, ST, RS

d)

RT, RS, ST

95.

List the angles in order by measure, smallest to largest.

a)

∠B, ∠A, ∠C

b)

∠A∠,B, ∠C

c)

∠A, ∠C, ∠B

96.

Order the sides of the triangle from shortest to longest.

a)

UV, UT, VT

b)

UV, VT, UT

c)

VT, UT, UV

d)

VT, UV, UT

97.

What is the Angle Relationship

a)

Alternate Interior

b)

Alternate Exterior

c)

Corresponding

d)

Same Side-Interior

98.

Given m and n are parallel lines, t is a transversal crossing both m and n, and m∡8 = 100 degrees, what is the measure of ∡3?

a)

50 degrees

b)

80 degrees

c)

100 degrees

d)

120 degrees

99.

Find the measure of angle 1.

a)

115

b)

35

c)

65

100.

Solve for x

a)

49

b)

58

c)

70

d)

94

101.

Find the measure of the indicated angle.

a)

89

b)

211

c)

119

d)

81

102.

Find the measure of the indicated angle.

a)

$135\degree$

b)

$55\degree$

c)

$45\degree$

d)

$60\degree$

103.

Find the measure of the indicated angle.

a)

$30\degree$

b)

$25\degree$

c)

$155\degree$

d)

$65\degree$

104.

Find the measure of the indicated angle.

a)

$45\degree$

b)

$33\degree$

c)

$123\degree$

d)

$147\degree$

105.

The Triangle Sum Theorem states that the sum of all angles in a triangle is ______.

a)

45°

b)

90°

c)

180°

d)

360°

106.

Solve for the missing angle with the question mark.

a)

A

b)

B

c)

C

d)

D

107.

Which of the following terms best describes Angle d?

a)

Remote interior angle

b)

Corresponding angle

c)

Exterior angle

d)

Interior angle

108.

What is the value of the missing angle?

a)

90

b)

100

c)

20

d)

120

109.

What is the value of the missing angle?

a)

105

b)

80

c)

55

d)

25

110.

A triangle has one angle that measures 75° and one angle that measures 19°. What is the measure of the third angle?

a)

86°

b)

94°

c)

105°

d)

161°

111.

Find the measure of each angle indicated.

a)

50

b)

55

c)

60

d)

70

112.

Find the indicated angle. (What is ?)

a)

91°

b)

81°

c)

89°

d)

109°

113.

Solve for x

a)

60

b)

120

c)

40

d)

65

114.

Find the indicated angle measure. (What is ?)

a)

51°

b)

37°

c)

167°

d)

41°

115.

What is the measure of angle b?

a)

36^o

b)

56^o

c)

63^o

d)

117^o

116.

Triangle ABC will be dilated using the rule (x, y)→(2x, 2y). What will be the coordinates of C'?

a)

(12, -3)

b)

(12, -6)

c)

(3, -1.5)

d)

(8, -5)

117.

A figure is dilated by a scale factor of 4. Which of the following statements about the figure must be true?

a)

The perimeter and area are both multiplied by 4.

b)

The perimeter is multiplied by 4 and the area is multiplied by 16.

c)

The perimeter and area are both divided by 4.

d)

The perimeter is multiplied by 16 and the area is multiplied by 4.

118.

If the scale factor is 5, how times larger will the area of the big square be compared to the smaller square?

a)

5

b)

20

c)

25

119.

State the coordinate of the image of the given point B (4,9) under a dilation with center at the origin with the given scale factor of 2.

a)

B' (2 , 4.5)

b)

B' (-8 ,-18)

c)

B' (8 ,18)

d)

B' (9 ,4)

120.

The point (8, 12) was dilated to become point (2, 3). What was the scale factor?

a)

½

b)

¼

c)

4

d)

2

121.

Which proportion could be used to find side 'x'?

a)

b)

c)

d)

122.

Which proportion must be true?

a)

b)

c)

d)

123.

Which proportion can we use to find 'x'?

a)

b)

c)

d)

124.

Which proportion can we use to find 'x'?

a)

b)

c)

d)

125.

Which proportion is true?

a)

b)

c)

d)

126.

Which proportion can be used to find side 'x'?

a)

b)

c)

d)

127.

Which proportion can be used to find 'x'?

a)

b)

c)

d)

128.

Triangles ABC and triangle DEF are similar.

Which proportion must be true?

a)

b)

c)

d)

129.

Figure I and Figure II are similar figures.

Which proportion must be true?

a)

b)

c)

d)

130.

Figure I and Figure II are similar quadrilaterals.

Which proportions must be true?

a)

b)

c)

d)

131.

Figure ABCDE is similar to figure VWXYZ.

Which proportion must be true?

a)

b)

c)

d)

132.

In the diagram a person who is 6 ft tall is standing on the ground 3 ft away from point P. A line segment drawn from the top corner of the building to point P creates two similar triangles.

Which proportion van be used to find h, the height of the building in feet?

a)

b)

c)

d)

133.

Figure I and Figure II are similar pentagons. Which proportion must be true?

a)

b)

c)

d)

134.

Quadrilateral PQRS is dilated with the origin as the center of dilation to create quadrilateral P'Q'R'S'. The coordinates of each vertex are integers.

Which statement is true?

a)

Each side length of quadrilateral PQRS is 1/2 the corresponding side length of quadrilateral P'Q'R'S'.

b)

Quadrilateral P'Q'R'S' is congruent to quadrilateral PQRS.

c)

Each angle measure of quadrilateral PQRS is 1/2 the corresponding angle measure of quadrilateral P'Q'R'S'.

d)

Quadrilateral P'Q'R'S' is similar to quadrilateral PQRS.

135.

Pentagon MNPQR is shown on the coordinate gride. Pentagon MNPQR is dilated with the origin as the center of dilation using the rule $\left(x,\ y\right)\rightarrow\left(\frac{1}{4}x,\ \frac{1}{4}y\right)$ to create pentagon M'N'P'Q'R'.

Which statement is true?

a)

Pentagon M'N'P'Q'R' is larger than pentagon MNPQR, because the scale factor is greater than 1.

b)

Pentagon M'N'P'Q'R' is smaller than pentagon MNPQR, because the scale factor is less than 1.

c)

Pentagon M'N'P'Q'R' is smaller than pentagon MNPQR, because the scale factor is greater than 1.

d)

Pentagon M'N'P'Q'R' is larger than pentagon MNPQR, because the scale factor is less than 1.

136.

Triangle TRW is shown on the coordinate grid.

Triangle TRW will be dilated by a scale factor of n with the origin as the center of dilation to create triangle T'R'W'. Which ordered pair best represents the location of point R'?

a)

b)

c)

d)

137.

Polygon LMNPQR is shown on the coordinate grid and models the shape of a garden in a park. Polygon LMNPQR will be dilated with the origin as the center of dilation to create polygon L'M'N'P'Q'R'. The vertex Q' will be located at (21,7).

Which rule best represents the dilation?

a)

b)

c)

d)

138.

A polygon will be dilated on a coordinate gride to create a smaller polygon. The polygon is dilated using the origin as the center of dilation. Which rule could represent this dilation?

a)

b)

c)

d)

139.

A polygon is graphed on a coordinate gride with (x, y) representing the location of a certain point on the polygon. The polygon is transformed using the rule $\left(x,\ y\right)\rightarrow\left(ax,\ ay\right)$ .

Which statement must be true?

a)

If a is greater than 1, the image of the polygon is congruent to the polygon.

b)

If a is between 0 and 1, the image of the polygon is congruent to the polygon.

c)

If a is greater than 1, the image of the polygon is smaller than the polygon.

d)

If a is between 0 and 1, the image of the polygon is smaller than the polygon.

140.

Triangle JKL is dilated with the origin as the center of dilation to create triangle J'K'L'.

Which rule best represents the dilation that has been applied to triangle JKL to create triangle J'K'L'?

a)

b)

c)

d)

141.

A square with a perimeter of 20 units is graphed on a coordinate gride. The square is dilated by a scale factor of 0.4 with the origin as the center of dilation.

If (x, y) represent the location of any point on the original square, which ordered pair represents the coordinates of the corresponding point on the resulting square?

a)

b)

c)

d)

142.

Triangle MNP is graphed on a coordinate gride with vertices at M (-3, -6), N (0.3) and P (6, -3). Triangle MNP is dilated by a scale factor of u with the origin as the center of dilation to create triangle M'N'P'.

Which ordered pair represents the coordinates of the vertex P''?

a)

b)

c)

d)

143.

Quadrilateral FGHJ was dilated with origin as the center of dilation to create quadrilateral F'G'H'J'.

Which rule best represents the dilation that was applied to quadrilateral FGHJ to create quadrilateral F'G'H'J'?

a)

b)

c)

d)

144.

Circle I was dilated with the origin as the center of dilation to create Circle II.

Which rule best represents the dilation applied to Circle I to create Circle II?

a)

b)

c)

d)

145.

Pentagon PQRST was graphed on a coordinate grid. Pentagon PQRST was rotated 90 degrees counterclockwise about the origin to form pentagon P'Q'R'S'T'.

Which statement is true?

a)

The area of pentagon P'Q'R'S'T' is not equal to the area of pentagon PQRST.

b)

Pentagon P'Q'R'S'T' is not congruent to pentagon PQRST.

c)

The perimeter of pentagon P'Q'R'S'T' is greater than the perimeter of pentagon PQRST.

d)

The angle measures of pentagon P'Q'R'S'T' are congruent to the corresponding angle measures of pentagon PQRST.

146.

Triangle XYZ is rotated 90 degrees clockwise about the origin to form triangle X'Y'Z'.

Which statement is true?

a)

The sum of the angle measures of triangle XYZ is 90 degrees less than the sum of angle measures of triangle X'Y'Z'.

b)

The angle measures of triangle XYZ are less than the corresponding angle measures of triangle X'Y'Z'.

c)

Triangle XYZ is not congruent to triangle X'Y'Z'.

d)

The area of triangle XYZ is equal to the area of triangle X'Y'Z'.

147.

A rectangle is graphed on a coordinate grid. Which transformation will result in a rectangle that is NOT congruent to the original rectangle?

a)

A dilation by a scale factor of 3

b)

A rotation of 180 degrees counterclockwise

c)

A translation 90 units to the right

d)

A reflection across the x-axis

148.

A transformation is applied to a figure to create a new figure on a coordinate gride. Which transformation does NOT preserve congruence?

a)

A rotation of 270 degrees counterclockwise

b)

A reflection across they-axis

c)

A dilation by a scale factor of 1.5

d)

A translation of 50 units down.

149.

Which representation of a transformation on a coordinate gride does NOT preserve congruence?

a)

b)

c)

d)

Topic 2 & 3 Test Review

Total questions: 149

Worksheet time: 12hrs 25mins

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