Free Printable ATA Geometry: Transformations & Triangle Properties

1.

Which of the following describes the sequence of transformations shown?

a)

Reflection, then a rotation.

b)

Rotation, then a translation.

c)

Reflection across the x-axis, then a reflection across the y-axis.

d)

Translation, then a rotation.

2.

Which sequence of transformations will get you from triangle ABC to its image triangle A'B'C'?

a)

Reflection, then a translation

b)

Rotation, then a dilation

c)

Reflection, then a rotation

d)

Dilation, then a reflection

3.

Which sequence of transformations will result from shape F to its image shape F''?

a)

Reflection over both axes

b)

Reflection, then a rotation

c)

Translation, then a reflection

d)

Rotation, then a translation

4.

Which sequence of transformations will map trapezoid A to its image A'?

a)

Reflection, then a translation

b)

Rotation, then a translation

c)

Reflection, then a rotation

d)

Rotation, then a dilation

5.

Which sequence of transformations occurred to pentagon QRSTU to form its image Q"R"S"T"U"?

a)

Translation, then a reflection over the y-axis.

b)

Reflection over the x-axis, then a translation.

c)

Rotation, then a reflection over the y-axis.

d)

Reflection over the y-axis, then a translation.

6.

Which sequence of transformations maps the red parallelogram to the green parallelogram?

a)

A translation, then a reflection.

b)

A rotation, then a translation.

c)

A reflection, then a translation.

d)

A reflection, then a rotation.

7.

Which sequence of transformations could map triangle ABC to triangle A"B"C"?

a)

A dilation, then a rotation.

b)

A translation, then a reflection.

c)

A rotation, then a translation.

d)

A reflection, then a rotation.

8.

If the red triangle is rotated 180 degrees, then reflected over the line y=2, what is the resulting image?

a)

Green Triangle

b)

Blue Triangle

c)

Orange Triangle

d)

Red Triangle

9.

Which sequence of transformations could map ∆ABC onto its image ∆A''B''C''?

a)

A reflection, then a rotation

b)

A reflection, then a translation

c)

A translation, then a rotation

d)

A translation, then a reflection

10.

Which sequence of transformations will map PQRT to its image P'Q'R'T'?

a)

A translation, then a reflection over the y-axis.

b)

A reflection over the x-axis, then a translation.

c)

A rotation 90^oclockwise, then a reflection over the x-axis.

d)

A rotation 180^oclockwise, then a reflection over the y-axis.

11.

Which sequence of transformations maps figure A to figure B?

a)

A translation, then a reflection across the x-axis.

b)

A reflection across the x-axis, then a reflection across the y-axis.

c)

A reflection across the y-axis, then a translation.

d)

A 90° counter-clockwise rotation, then a reflection across the y-axis.

12.

Which sequence of transformations maps

Triangle ABC onto Triangle A"B"C"?

a)

A 180° rotation, then a reflection across the y-axis.

b)

A reflection across the y-axis, then a reflection across the x-axis and another reflection across the y-axis.

c)

A translation, then a reflection across the y-axis.

d)

A reflection across the x-axis, then a translation.

13.

Which sequence of transformations maps

Quadrilateral WXYZ onto Quadrilateral W"X"Y"Z"?

a)

A 90° counter-clockwise rotation, then a translation.

b)

A reflection across the y-axis, then a reflection across the x-axis.

c)

A translation, then a reflection across the y-axis.

d)

A translation, then a reflection across the x-axis.

14.

Which sequence of transformations does triangle ABC map onto triangle A''B''C''?

a)

A reflection over x-axis, then a rotation.

b)

A rotation, then a reflection over y-axis.

c)

A reflection over y-axis, then a rotation.

d)

A rotation, then a reflection over x-axis.

15.

Which sequence of transformations maps ABC (green) onto A"B"C" (red)?

a)

A translation, then a reflection over the x-axis.

b)

A translation, then a reflection over the y-axis.

c)

A reflection, then a translation.

d)

A reflection, then a rotation.

16.

Which sequence of transformations will get you from triangle BCD to its image, triangle B''C''D''?

a)

A rotation, then a rotation

b)

A rotation, then a dilation

c)

A translation, then a reflection

d)

A reflection, then a rotation

17.

Which sequence of transformations maps the blue figure to the red figure to the brown figure?

a)

A reflection, then a translation

b)

A translation, then a reflection

c)

A rotation, then a translation

d)

A translation, then a rotation

18.

Which sequence of transformations maps the green triangle to the red triangle to the blue triangle?

a)

A rotation, then a translation.

b)

A translation, then a rotation.

c)

A translation, then a reflection.

d)

A rotation, then a reflection.

19.

Which sequence of transformations maps triangle ABC to its image triangle A''B''C''?

a)

A reflection over the x-axis, then a rotation.

b)

A reflection over the y-axis, then a rotation.

c)

A 90° rotation, then a reflection over the x-axis.

d)

A 180° rotation, then a reflection over the y-axis.

20.

Which sequence of transformations maps ABC onto DEF?

a)

A reflection over the x-axis, then a translation.

b)

A reflection over the y-axis, then a translation.

c)

A translation, then a reflection over the x-axis.

d)

A rotation, then a reflection over the y-axis.

21.

The rule for rotation of 90 degrees counterclockwise is
(x, y) --> _

a)

(y, -x)

b)

(-y, x)

c)

(x, -y)

d)

(-x, y)

22.

The rule for rotation of 90 degrees clockwise is
(x, y) -->

a)

(y, -x)

b)

(-y, x)

c)

(x, -y)

d)

(-x, y)

23.

The rule for rotation of 270 degrees is
(x, y) --> _

a)

(y, x)

b)

(-y, x)

c)

(y, -x)

d)

(x, -y)

24.

The rule for rotation of 180 degrees is
(x, y) --> _

a)

(-y, x)

b)

(-x, -y)

c)

(y, -x)

d)

(-y, -x)

25.

Apply the following rule to the point (-5,6):
(x,y)-->(y,-x)

a)

(-5,-6)

b)

(5,-6)

c)

(6,5)

d)

(-6,5)

26.

Which rule describes the action of the coordinates when a figure is reflected over the x-axis?

a)

(x, y)→(x, -y)

b)

(x, y)→(-x, y)

c)

(x, y)→(-x, -y)

d)

(x, y)→(y, -x)

27.

Which rule describes the action of the coordinates when a figure is rotated 90^o counter-clockwise about the origin?

a)

(x, y)→(-y, -x)

b)

(x, y)→(-x, -y)

c)

(x, y)→(-y, x)

d)

(x, y)→(x, -y)

28.

Which rule describes the action of the coordinates when a figure is reflected over the line y = x?

a)

(x, y)→(-y, -x)

b)

(x, y)→(-x, y)

c)

(x, y)→(-x, -y)

d)

(x, y)→(y, x)

29.

Which rule describes the action of the coordinates when a figure is rotated 180^o about the origin?

a)

(x, y)→(y, x)

b)

(x, y)→(-x, y)

c)

(x, y)→(-x, -y)

d)

(x, y)→(-y, -x)

30.

Which rule describes the action of the coordinates when a figure is reflected over the y-axis?

a)

(x, y)→(x, -y)

b)

(x, y)→(-x, y)

c)

(x, y)→(-x, -y)

d)

(x, y)→(y, -x)

31.

Which rule describes the action of the coordinates when a figure is rotated 270^o counter-clockwise about the origin?

a)

(x, y)→(-y, -x)

b)

(x, y)→(-x, -y)

c)

(x, y)→(-y, x)

d)

(x, y)→(x, -y)

32.

Which rule describes the action of the coordinates when a figure is dilated by a scale factor of 2?

a)

(x, y)→(x+2, y+2)

b)

(x, y)→(2x, 2y)

c)

(x, y)→(x/2, y/2)

d)

(x, y)→(x-2, y-2)

33.

What rule represents a rotation 180 degree about the origin?

a)

Flip & change sign on x-value.

b)

Change sign on x-value and y-value.

c)

Flip & change sign on y-value.

d)

Flip x-value and y-value.

34.

What rule represents a rotation of 90 degrees counterclockwise about the origin?

a)

Flip & change sign on x-value.

b)

Change sign on x-value.

c)

Flip & change sign on y-value.

d)

Change sign on both x-value and y-value.

35.

During a translation, if the figure is moving right what do you need to do to the coordinates?

a)

add to the x-value

b)

add to the y-value

c)

subtract from the x-value

d)

subtract from the y-value

36.

During a translation, if the figure is moving left what do you need to do to the coordinates?

a)

add to the x-value

b)

add to the y-value

c)

subtract from the x-value

d)

subtract from the y-value

37.

Translations, reflections and rotations are all known as ________________________.

a)

Geometry

b)

Transformations

c)

Congruent

38.

When you translate, (x-4,y) will move _____.

a)

4 units right

b)

4 units left

c)

4 units up

d)

4 units down

39.

Apply the following rule to the point (-5,6):
(x,y)-->(y,-x)

a)

(-5,-6)

b)

(5,-6)

c)

(6,5)

d)

(-6,5)

40.

What does congruent mean?

a)

corresponding sides and angles are congruent

b)

corresponding sides are proportional and corresponding angles are congruent

c)

sames shape

d)

neither sides or angles are congruent

41.

Which of the following describes the sequence of transformations shown?

a)

Reflect across the x-axis and then rotate -90 degrees around the origin

b)

Rotate -90 degrees around the origin and then translate down.

c)

Reflect across the x-axis and then reflect across the y-axis.

d)

Translate up and then rotate 90 degrees about the origin.

42.

What is the sequence of transformations for the image given?

a)

Reflect over the x-axis, translate (x+8,y)

b)

Reflect over the x-axis then translate (x+6, y)

c)

Reflect over the y-axis then (x+1, y+1)

d)

Translate down 4 (y-4) and to the right 5 (x+5)

43.

Which transformations keep figures congruent?

a)

translation, reflection, and dilation

b)

reflection, rotation, and dilation

c)

dilation, translation, reflection, and rotation

d)

translation, reflection, and rotation

44.

What are the coordinates of C(-6, 2) and B(-1, -1) if rotated 90 degrees counterclockwise?

a)

C' (-6, 2), B' (-1, -1)

b)

C' (6, 2), B' (1, -1)

c)

C' (2, -6), B' (-1, -1)

d)

C' (-2, -6), B' (1, -1)

45.

What does CPCTC stand for?

a)

Congruent parts of congruent triangles are congruent

b)

Corresponding parts of congruent triangles are congruent

c)

Corresponding parts of corresponding triangles are corresponding

d)

Corresponding parts of congruent triangles are Canadian.

46.

What postulate proves these triangles congruent?

a)

HL

b)

SSS

c)

SAS

d)

ASA

47.

What postulate proves these triangles congruent?

a)

SAS

b)

HL

c)

AAS

d)

ASA

48.

What postulate proves these triangles congruent?

a)

SAS

b)

ASA

c)

AAS

d)

Not enough information

49.

State if the two triangles are congruent. If they are, state how you know.

a)

A

b)

B

c)

C

d)

D

50.

State if the two triangles are congruent. If they are, state how you know.

a)

A

b)

B

c)

C

d)

D

51.

What additional information is required for the 2 triangles to be congruent by ASA?

a)

A

b)

B

c)

C

d)

D

52.

When can we use the HL Congruence Theorem?

a)

Right Triangles

b)

Isosceles Triangles

c)

When we have a reflexive side

d)

SSA

53.

Can the HL Congruence Theorem be used to prove the triangles congruent? If so, write a congruence statement.

a)

Yes, △ABC≅△NLM

b)

Yes, △CBA≅△NLM

c)

Yes, △CBA≅△MLN

d)

No

54.

What additional information is required in order to know that the triangles are congruent by HL Theorem?

a)

∠G ≅ ∠X

b)

∠H ≅ ∠V

c)

GI ≅ XV

d)

GH ≅ XW

55.

State if the two triangles are congruent. If they are, state which theorem you would use.

a)

Yes, SAS

b)

Yes, SSS

c)

Yes, HL

d)

Yes, SSA

e)

Not Congruent

56.

State if the two triangles are congruent. If they are, state which theorem you would use.

a)

Yes, SAS

b)

Yes, SSS

c)

Yes, HL

d)

Yes, ASA

e)

Not Congruent

57.

Are the triangles congruent, if yes, why?

a)

SSS

b)

ASA

c)

AAA

d)

Not Congruent

58.

Are the triangles congruent, if yes, why?

a)

SSS

b)

SAS

c)

ASA

d)

Not Congruent

59.

What is the correct congruence statement? ΔDEC ≅________

a)

ΔAEB

b)

ΔEAB

c)

ΔBEA

d)

Not Congruent

60.

Name the postulate, if possible, that makes the triangles congruent.

a)

SAS

b)

ASA

c)

AAS

d)

Not Possible

61.

Use the congruency statement to answer the following:
∠F = ___

a)

∠H

b)

∠I

c)

∠G

d)

not congruent to another angle

62.

Complete the congruence statement.

a)

OEG

b)

OGE

c)

EGO

d)

GOE

63.

∆ABC≅∆XYZ
which is true?

a)

AB≅XY

b)

AB≅YX

c)

AB≅XZ

d)

BC≅CB

64.

∠A = ≅

a)

∠M

b)

∠N

c)

∠L

65.

If ∆PIG ≅ ∆COW, WO≅?

a)

GI

b)

PI

c)

PG

66.

How many midsegments does a triangle have?

a)

1

b)

2

c)

3

d)

4

67.

Which is true about any midsegment in a triangle?

(Select all that apply.)

a)

The midsegment is parallel to its corresponding (opposite) side.

b)

The midsegment is perpendicular to its corresponding (opposite) side.

c)

The midsegment is half as long as its corresponding (opposite) side.

d)

The midsegment connects the midpoints of two sides of a triangle.

e)

The midsegment is twice as long as its corresponding (opposite) side.

68.

A midsegment of a scalene triangle has a length of 12 in.

What is the length of its corresponding side?

a)

6 inches

b)

12 inches

c)

24 inches

d)

Cannot be determined without the coordinates.

69.

If D and E are Midpoints, then

\overline{DE}

is _______________.

a)

an angle bisector

b)

a perpendicular segment

c)

a median

d)

a midsegment

70.

Complete the statement, the midsegment of a triangle is half the length of the ___ ____ to it.

a)

angle oppostie

b)

side perpendicular

c)

side parallel

d)

incenter point

71.

If AC = 42, find DF.

a)

21

b)

84

c)

14

d)

28

72.

Name a segment that has the same length as segment BD.

a)

$\overline{BE}$

b)

$\overline{DE}$

c)

$\overline{AD}$

d)

$\overline{AC}$

73.

Name a segment parallel to $\overline{AC}$ .

a)

$\overline{DE}$

b)

$\overline{AD}$

c)

$\overline{AC}$

d)

$\overline{BC}$

74.

If LN = 5, then AC = ______.

a)

5

b)

10

c)

15

d)

25

75.

QR is a midsegment of ∆FGH. Solve for the value of x? Remember the formula... 2(midsegment) = opp. side

a)

5.5

b)

11

c)

-5.5

d)

-11

76.

$\overline{MP}\ \parallel$ ______

Name the parallel segment.
(The symbol || means parallel.)

a)

$\overline{WY}$

b)

$\overline{YX}$

c)

$\overline{WX}$

d)

$\overline{PN}$

77.

$\overline{TS}$ is a midsegment of $\Delta GHI$ .
Solve for the value of x.

Remember the formula... 2(midsegment) = opp. side

a)

4

b)

6

c)

8

d)

10

78.

Name a segment that has twice the length of segment $\overline{EC}$ .

a)

$\overline{BC}$

b)

$\overline{BE}$

c)

$\overline{AC}$

d)

$\overline{BD}$

79.

$\overline{QR}$ is a midsegment of $\Delta BCD$ .
Solve for the value of x.

Remember the formula... 2(midsegment) = opp. side

a)

11

b)

18

c)

9

d)

-7

80.

What segment is parallel to EF?

a)

Segment PM

b)

Segment MN

c)

Segment NP

d)

Segment FG

81.

The midsegment of the triangle is 5x-1.

Find the value of x.

Remember the formula... 2(midsegment) = opp. side

a)

x = 6

b)

x = 7

c)

x = 11.8

d)

x = 12.4

82.

What is the value of y?

a)

3

b)

-3

c)

No Solution

d)

5

83.

What is the value of x?

a)

10

b)

No Solution

c)

5

d)

2

84.

What is the length of the Midsegment?

a)

6

b)

9

c)

12

d)

18

85.

Find the length of AB.

Remember the formula... 2(midsegment) = opp. side

a)

6

b)

11

c)

17

d)

68

86.

Is DE 1/2 the length of BC?

a)

Yes

b)

No

87.

Find SV

a)

18

b)

36

c)

21

d)

9

88.

Find m< JKM

a)

90

b)

76

c)

38

d)

83

89.

Find LK

a)

3

b)

5

c)

-3

d)

6

90.

Find PQ

a)

10

b)

3

c)

-2

d)

5

91.

Find the length of AD

a)

2

b)

4

c)

6

d)

8

92.

Solve for x.

a)

5

b)

2

c)

4

d)

1

93.

What is the length of BC?

a)

3

b)

26

c)

30

d)

34

94.

In the diagram MN is the perpendicular bisector of AB. What is the value of x?

a)

-8

b)

4

c)

7

d)

8

95.

AB bisects ∠CAD bisects . Find x.

a)

8

b)

2

c)

10

d)

8/5

96.

In the diagram MN is the perpendicular bisector of AB.

AM=?

a)

AO

b)

AB

c)

BM

d)

BO

97.

State if the three numbers can be measures of the sides of a triangle.
$8,10,20$

a)

Yes

b)

No

98.

Solve for x

a)

28

b)

12

c)

10

d)

2

99.

$In\ \Delta PQR,\ find\ x\ if$ m<P=x - 12, m<Q=5x - 27 and m<R=2x+3

a)

12

b)

55

c)

30

d)

27

100.

Find the indicated angle measure. (What is ?)

a)

51°

b)

37°

c)

167°

d)

41°

101.

What is the measure of angle a?

a)

36^o

b)

56^o

c)

63^o

d)

117^o

102.

Solve for x.

a)

6

b)

8

c)

15

d)

13

103.

What is the value of x?

a)

64

b)

46

c)

127

d)

38

104.

a)

A

b)

B

c)

C

d)

D

105.

Find the measure of angle A

a)

A

b)

B

c)

C

d)

D

106.

Find the value of x

a)

10

b)

52

c)

9

d)

7

107.

a)

A

b)

B

c)

C

d)

D

108.

Classify each triangle by its angles and sides.

a)

Acute, Isosceles

b)

Obtuse, Isosceles

c)

Right, Scalene

d)

Equiangular, Equilateral,

e)

Acute, Scalene

109.

Classify each triangle by its angles and sides.

a)

Acute, Isosceles

b)

Obtuse, Isosceles

c)

Right, Scalene

d)

Equiangular, Equilateral,

e)

Acute, Scalene

110.

Classify each triangle by its angles and sides.

a)

Acute, Isosceles

b)

Obtuse, Isosceles

c)

Right, Scalene

d)

Equiangular, Equilateral,

e)

Obtuse, Scalene

111.

Classify each triangle by its angles and sides.

a)

Acute, Isosceles

b)

Obtuse, Isosceles

c)

Right, Scalene

d)

Equiangular, Equilateral,

e)

Obtuse, Scalene

112.

Find the value of x.

a)

7

b)

13

c)

44

d)

11

113.

Find the value of x.

a)

12

b)

-12

c)

9

d)

7

114.

A triangle has angle measurements of 54°, 52°, and 74°. What kind of triangle is it?

a)

acute triangle

b)

right triangle

c)

obtuse triangle

d)

none of the above

115.

A triangle has angle measurements of 26°, 59°, and 95°. What kind of triangle is it?

a)

acute triangle

b)

right triangle

c)

obtuse triangle

d)

none of the above

116.

Find the measure of each angle indicated.

a)

51

b)

62

c)

67

d)

129

e)

180

117.

What is the measure of angle b?

a)

36^o

b)

56^o

c)

63^o

d)

117^o

118.

What is the length of DF?

a)

8

b)

4

c)

25

d)

71

119.

Solve for x, then find each angle measure.

a)

$x=13$ $m\angle P\ =\ 126\degree$ $m\angle Q\ =\ 30\degree$ $m\angle\text{R = 24}\degree$

b)

$x=34$ $m\angle P\ =\ 336\degree$ $m\angle Q=114\degree$ $m\angle R=23\degree$

c)

$x=5$ $m\angle P=46\degree$ $m\angle Q=2\degree$ $m\angle R=16\degree$

120.

Solve for x, then find each angle measure.

a)

$x=5$ $m\angle CAB=54\degree$ $m\angle ABC\ =\ 21\degree$ $m\angle ACB\ =\ 105\degree$ $m\angle DCB=75\degree$

b)

$x=1$ $m\angle CAB=2\degree$ $m\angle ABC=5\degree$ $m\angle ACB=177\degree$ $m\angle DCB=3\degree$

121.

Ryan was trying to measure angle A, but he isn't sure. Solve for x

a)

28

b)

12

c)

10

d)

2

122.

Using the hinge theorem, we can say that Angle 1 _____ Angle 2.

a)

Less than

b)

Greater than

c)

Equal to

d)

Half of

123.

Where would the largest angle of a triangle be located?

a)

Across from the longest side.

b)

Across from the shortest side

c)

I need more information to get an answer.

124.

Name the sides from SMALLEST to LARGEST

a)

RS, ST, TR

b)

ST, RT, RS

c)

RT, ST, RS

d)

RT, RS, ST

125.

Name the angles from SMALLEST to LARGEST

a)

Q, R, P

b)

P, Q, R

c)

R, P, Q

d)

R, Q, P

126.

What is a possible third side to a triangle with side lengths of 5 and 5?

a)

9

b)

10

c)

11

d)

12

127.

Can the sides of a triangle have lengths 3, 4, and 9?

a)

Yes

b)

No

128.

Can the sides of a triangle have lengths 3, 8, and 9?

a)

Yes

b)

No

129.

Which one of these represent SAS?

a)

b)

c)

d)

e)

130.

Which one of these represent SSS?

a)

b)

c)

d)

e)

131.

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

132.

Order the sides of the triangle from longest to shortest.

a)

KL, ML, KM

b)

KL, KM, ML

c)

KM, ML, KL

d)

KM, KL, ML

133.

Order the angles from smallest to largest.

a)

∠D, ∠E, ∠C

b)

∠D, ∠C, ∠E

c)

∠C, ∠E, ∠D

d)

∠C, ∠D, ∠E

134.

Order the angles from largest to smallest

a)

∠S, ∠R, ∠T

b)

∠S, ∠T, ∠R

c)

∠T, ∠R, ∠S

d)

∠T, ∠S, ∠R

135.

Which of the following is a possible length for segment AC

a)

10

b)

15

c)

17

d)

9

136.

Using the hinge theorem, we can say that AB _____ DC

a)

Greater than

b)

Less than

c)

Equal to

d)

Half of

137.

Using the hinge theorem, we can say that Angle 1 _____ Angle 2.

a)

Less than

b)

Greater than

c)

Equal to

d)

Half of

138.

Can a triangle be formed with line segments that have lengths 2, 8 and 14 units?

a)

No, because these line segments wouldn't satisfy the triangle inequality theorem

b)

No, because there are only two sides to a triangle

c)

Yes, because these line segments satisfy the triangle inequality theorem

d)

Yes, because 8< 14

139.

Can the following lengths be made into a triangle?
4 cm, 7 cm, 2 cm

a)

Yes

b)

No

c)

180º

d)

Complementary

140.

Two sides of a triangle are 14 cm and 19 cm. What is a possible length for the third side?

a)

5 cm

b)

11 cm

c)

33 cm

d)

40 cm

141.

Compare measure of angle Y and measure of angle M.

a)

measure of angle Y = measure of angle M

b)

measure of angle Y > measure of angle M

c)

measure of angle Y < measure of angle M

d)

Not enough information is given.

142.

Name the dashed segment:

a)

altitude

b)

angle bisector

c)

perpendicular bisector

d)

median

143.

Dilate the figure by a scale factor of 3. What are the coordinates of the image?

A(3,3) B(6,6) C(9,3)

a)

A'(9,9) B'(18,18) C'(27,9)

b)

A'(6,6) B'(9,9) C'(12,6)

c)

A'(0,0) B'(3,3) C'(6,0)

d)

A'(1,1) B'(2,2) C'(3,1)

144.

Dilate Point B by a scale factor of 3:

a)

(12,0)

b)

(12,12)

c)

(4,3)

d)

(0,12)

145.

Triangle ABC will be dilated by a scale factor of 1/2. What will be the coordinates of C'?

a)

(-1, -2.5)

b)

(12, 6)

c)

(3, -1.5)

d)

(0, 1.5)

146.

Enlargement or reduction? Find the scale factor!

a)

It's a reduction; the scale factor is 2.

b)

It's an enlargement; the scale factor is 2.

c)

It's an enlargement; the scale factor is 1/2.

d)

It's a reduction; the scale factor is 1/2.

147.

Trapezoid A’B’C’D’ is the dilation of trapezoid ABCD.

Which algebraic representation shows this dilation?

a)

(x, y) --> (2x, 2y)

b)

(x, y) --> (0.5x, 0.5y)

c)

(2x, 2y) --> (x, y)

d)

(x, y) --> (3x, 2y)

148.

Triangle ABC has vertices A (-2, 2), B (2, 4) and C (3, -1). What are the coordinates of A' after a dilation by a scale factor of 2.5?

a)

(-5, 5)

b)

(5, -5)

c)

(5, 10)

d)

(7.5, -2.5)

149.

Determine if the figure has line, point, and/or rotational symmetry. Check all that apply.

a)

Line

b)

Point

c)

Rotational

d)

None

150.

Determine if the figure has line, point, and/or rotational symmetry. Check all that apply.

a)

Line

b)

Point

c)

Rotational

d)

None

151.

Determine if the figure has line, point, and/or rotational symmetry. Check all that apply.

a)

Line

b)

Point

c)

Rotational

d)

None

152.

Determine if the figure has line, point, and/or rotational symmetry. Check all that apply.

a)

Line

b)

Point

c)

Rotational

d)

None

153.

Determine if the figure has line, point, and/or rotational symmetry. Check all that apply.

a)

Line

b)

Point

c)

Rotational

d)

None

154.

Determine if the figure has line, point, and/or rotational symmetry. Check all that apply.

a)

Line

b)

Point

c)

Rotational

d)

None

155.

Determine if the figure has line, point, and/or rotational symmetry. Check all that apply.

a)

Line

b)

Point

c)

Rotational

d)

None

156.

Determine if the figure has line, point, and/or rotational symmetry. Check all that apply.

a)

Line

b)

Point

c)

Rotational

d)

None

157.

Determine if the figure has line, point, and/or rotational symmetry. Check all that apply.

a)

Line

b)

Point

c)

Rotational

d)

None

158.

Determine if the figure has line, point, and/or rotational symmetry. Check all that apply.

a)

Line

b)

Point

c)

Rotational

d)

None

159.

Determine if the figure has line, point, and/or rotational symmetry. Check all that apply.

a)

Line

b)

Point

c)

Rotational

d)

None

160.

Determine if the figure has line, point, and/or rotational symmetry. Check all that apply.

a)

Line

b)

Point

c)

Rotational

d)

None

161.

Name the sides from LARGEST to SMALLEST

a)

KJ, KH, JH

b)

JH, KH, KJ

c)

KH, KJ, JH

d)

KH, JH, KJ

ATA Geometry: Transformations & Triangle Properties

Total questions: 161

Worksheet time: 6hrs 26mins

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