Free Printable Semester 1 Digital Review (Fall '25)

1.

Suppose AC = 48, find the value of x. Then, find the length of AB.

a)

13

b)

16

c)

12

d)

15

2.

Given the diagram, which is correct?

a)

BC+CD=BD

b)

BD+BC=CD

c)

CD+BC=BD

d)

BC+BD=CD

3.

Use the figure to write and solve an equation for x.

a)

5

b)

6

c)

7

d)

8

4.

If T is the midpoint of SU, find x.

a)

3

b)

4

c)

5

d)

2

5.

What does the word BISECT mean?

a)

To cut something into more than five pieces.

b)

It is a plane with two sets of wings.

c)

A shape that has three sides.

d)

To cut something into two congruent pieces or in half.

6.

This point divides a line segment into 2 equal parts.

a)

point

b)

vertex

c)

midpoint

d)

segment

7.

Which symbol below indicates congruence?

a)

b)

c)

d)

8.

RS is the segment bisector. If OQ = 32 and PO = 4x, what does x equal?

a)

8

b)

28

c)

128

d)

36

9.

B is the midpoint of AC. Find AB.

a)

2

b)

16

c)

8

d)

4

10.

Solve

a)

x = 5

b)

x = 11

c)

x = 33

d)

x = 55

11.

Solve

a)

50°

b)

58°

c)

115°

d)

226°

12.

a)

m∠GHK=26, m∠KHJ=26

b)

m∠GHK=26, m∠KHJ=52

c)

m∠GHK=52, m∠KHJ=52

d)

m∠GHK=52, m∠KHJ=26

13.

Find the value of ∠A.

a)

25 degrees

b)

30 degrees

c)

35 degrees

d)

90 degrees

14.

Find the midpoint of the line segment with the given endpoints.

a)

A

b)

B

c)

C

d)

D

15.

Find the midpoint of the line segment with the given endpoints.

a)

A

b)

B

c)

C

d)

D

16.

Find the midpoint of the line segment with the given endpoints.

a)

A

b)

B

c)

C

d)

D

17.

Find the midpoint of the line segment with the given endpoints.

a)

A

b)

B

c)

C

d)

D

18.

Find the midpoint of each line segment.

a)

A

b)

B

c)

C

d)

D

19.

Find the midpoint of each line segment.

a)

A

b)

B

c)

C

d)

D

20.

Find the midpoint of each line segment.

a)

A

b)

B

c)

C

d)

D

21.

Given two points (x₁, y₁), (x₂, y₂) the distance between them is:

a)

b)

c)

d)

22.

Which of the following is the correct midpoint formula given two endpoints (x₁, y₁) and (x₂, y₂)?

a)

b)

c)

d)

23.

What is the distance between the two points?

a)

6.3

b)

6.5

c)

6.7

d)

16

24.

What is the midpoint between (3, -1) and (7, -5)

a)

(5, -2)

b)

(10, -6)

c)

(5, -3)

d)

(2, -2)

25.

Find the length of the missing side.

a)

25 cm

b)

42 cm

c)

52 cm

d)

48 cm

26.

Find the distance.

a)

√142

b)

√160

c)

√136

d)

√8

27.

Find the y-coordinate of the midpoint of the line

a)

1

b)

2

c)

-2

d)

3

28.

Find the y-coordinate of the midpoint of the line

a)

1

b)

2

c)

-2

d)

3

29.

Find the distance between the points: (-3, -4) and (5, 5)

a)

11.8

b)

14.4

c)

12

d)

19

30.

G is the midpoint of HK. If G is located at (-2, 4) and H is located at (3, 5), find the coordinates of K.

a)

Not Enough Information

b)

(0.5, 4.5)

c)

(-7, 3)

d)

(2.5, -0.5)

31.

A race starts at coordinates ( -10, -6). There is a water stop halfway through the race at ( 7, 4). What are the coordinates of the finish line?

a)

(-27, -16)

b)

(24, 14)

c)

(-1.5, -1)

d)

(-8.5, -5)

32.

How is AB written in the distance formula?

a)

$d\ =\ \sqrt{\left(5-3\right)^2\ +\ \left(0--2\right)^2}$

b)

$d\ =\ \sqrt{\left(2-5\right)^2\ +\ \left(3\ -0\right)^2}$

c)

$d\ =\ \sqrt{\left(5-3\right)^2\ -\ \left(0--2\right)^2}$

d)

$d\ =\ \sqrt{\left(4-3\right)^2\ -\ \left(2-4\right)^2}$

33.

Find the direct distance between the court house and the town hall.

a)

26

b)

6.8

c)

10

d)

7.2 km

34.

The distance formula is another way to write which of the following?

a)

quadratic formula

b)

slope formula

c)

Pythagorean theorem

d)

none of these answers

35.

What is the center of MN given M(3, -1) and N(7, -5)

a)

(5, -2)

b)

(10, -6)

c)

(5, -3)

d)

(2, -2)

36.

What point is halfway between (3, -1) and (8, -6)?

a)

(11, -7)

b)

(-5.5, -3.5)

c)

(5.5, -3.5)

d)

(2, -2)

37.

Point M with coordinates (3,4) is the midpoint of the line AB and A has the point (-1,6). What is the point of B?

a)

(1,5)

b)

(2,10)

c)

(7,2)

d)

(1,2)

38.

Point Q is _______ (what fraction?) the distance from C to D.

a)

5/7

b)

2/3

c)

1/3

d)

2/7

39.

What is the point 2/3 the distance from -5 to 7?

(a)

40.

Point W (_____, _____) is on $\overline{AB}$ so that $AW=\frac{2}{5}AB$

a)

(14, 18)

b)

(18,14)

c)

(13, 8)

d)

(8, 13)

41.

Point Q is ( _____, _____) is $\frac{3}{4}$ the distance from A to B.

a)

(-5, -2)

b)

(2, 5)

c)

(5, -2)

d)

(1, 4)

42.

Find the coordinates of Point P so that it is $\frac{1}{4}$ the distance from B to A.

a)

(2, -4)

b)

(0, -3)

c)

(-2, 0)

d)

(0, -2)

43.

Points G, H, and I are plotted on the coordinate grid. How many units are between points G and H?

a)

15 units

b)

14 units

c)

10 units

d)

9 units

44.

What is the distance between the following ordered pairs: (5, 6) and (5, 8)

a)

3 units

b)

4 units

c)

5 units

d)

2 units

45.

The vertical number line is called the _______.

a)

x-axis

b)

y-axis

c)

ordered pair

d)

quadrant

46.

An _________ is the set of numbers used to locate a point on the coordinate plane.

a)

quadrant

b)

ordered pair

c)

origin

d)

y-axis

47.

If the scale factor is less than one, the new figure will be

a)

an enlargement

b)

a reduction

c)

a scale factor

d)

bigger

48.

What is the scale factor from ΔDEF to ΔABC?

a)

1/2

b)

7/3

c)

2

d)

10/3

49.

Robbie made a scale drawing of a neighborhood park. A soccer field in the park is 14 inches long in the drawing. The actual field is 98 yards long. What is the scale of the drawing? 1 inch = _ yards

a)

1372

b)

5

c)

14

d)

7

50.

If a Scale Factor if greater than 1, then your figure gets...

a)

Smaller

b)

Bigger

c)

Does not change

51.

The two rectangles are scale drawings. What is the measurement of x?

a)

21

b)

1.25

c)

20

d)

4

52.

When a scale drawing is larger than the original it is called a ...

a)

ballooner

b)

enlargement

c)

reduction

d)

correlation

53.

Pedro and his friends are visiting chocolate shops in Fairview. They take a cab from one chocolate shop to another. On a map, the two are separated by 3 centimeters. If the scale of the map is 1 centimeter = 2 kilometers, then what is the actual distance between the two chocolate shops?
____ = ____

a)

1/2 kilometer

b)

1.5 kilometers

c)

6 kilometers

d)

3 kilometers

54.

Megan drew a scale drawing of a house and its lot. The scale she used was 1 inch = 2 feet. The backyard is 78 feet long in real life. How long is the yard in the drawing?
____ = ____

a)

39 inches

b)

156 inches

c)

38 inches

d)

157 inches

55.

Jamie made a scale drawing of his apartment building. The building is 300 ft tall. He wants his scale to be 1 inch : 10 ft. How tall should his building be in his scale drawing?

a)

25 inches

b)

60 inches

c)

1/30 inch

d)

30 inches

56.

Factor
r² -16r + 60

a)

(r - 15)(r + 4)

b)

(r - 6)(r + 10)

c)

(r - 6)(r - 10)

d)

(r +30)(r - 2)

57.

Factor
x²-16x + 48

a)

(x - 12)(x - 4)

b)

(x + 6)(x - 8)

c)

(x + 12)(x - 4)

d)

(x -16)(x - 3)

58.

Factor
x²+12x+35

a)

(x+5)(x+7)

b)

(x+4)(x+3)

c)

(x+7)(x-5)

d)

Prime

59.

Factor
d² - 10d + 25

a)

(d + 5) (d - 5)

b)

(d - 15) (d + 10)

c)

(d + 5) (d - 20)

d)

(d - 5) (d - 5)

60.

Factor
x² + 11x + 24

a)

(x + 6)(x + 4)

b)

(x + 10)(x + 2)

c)

(x + 8)(x + 3)

d)

(x + 2)(x + 12)

61.

Factor
x² - 9x + 20

a)

(x - 10)(x - 2)

b)

(x - 20)(x - 1)

c)

(x - 10)(x + 2)

d)

(x - 5)(x - 4)

62.

Factor
x² - x - 6

a)

(x + 1)(x - 2)

b)

(x + 3)(x - 2)

c)

(x - 3)(x + 2)

d)

Not Factorable

63.

Take out the Greatest Common Factor
18a²-15a

a)

15a(3a-1)

b)

3a(6a-1)

c)

3(6a-5)

d)

3a(6a-5)

64.

What is the GCF of the trinomial?
3x²- 9x -120

a)

3

b)

2

c)

6

d)

9

65.

Factor
12x + 9

a)

3(4x + 3)

b)

x(12+9)

c)

3(4x - 3)

d)

not factorable

66.

Factor Completely:
c² + c - 42

a)

(c - 6)(c + 7)

b)

(c + 7)(x + 6)

c)

(c - 2)(c + 21)

d)

(c + 14)(c - 3)

67.

Factor Completely:
c² + c - 42

a)

(c - 6)(c + 7)

b)

(c + 7)(x + 6)

c)

(c - 2)(c + 21)

d)

(c + 14)(c - 3)

68.

What factor pair of 20, adds to -9

a)

5 and 4

b)

-5 and -4

c)

10 and 2

d)

-10 and -2

69.

Select which monomial belongs in the last box:

a)

1

b)

4x

c)

-16

d)

6

70.

What is the GCF of the highlighted row:

a)

2

b)

x

c)

1

d)

2x

71.

What is the GCF of the highlighted row:

a)

4

b)

-2

c)

-6

d)

-3

72.

What is the GCF of the highlighted column

a)

x

b)

-2x

c)

2x

d)

6x

73.

What is the GCF of the highlighted column

a)

x

b)

-2

c)

-2x

d)

2

74.

Determine what two terms would be placed in the two boxes: (select 2)

a)

4x

b)

7x

c)

8x

d)

2x

e)

28x

75.

Determine what two terms would be placed in the two boxes: (select 2)

a)

x

b)

7x

c)

3x

d)

21x

76.

Determine what two terms would be placed in the two boxes: (select 2)

a)

5x

b)

6x

c)

-5x

d)

-6x

e)

2x

77.

TRUE OR FALSE:

if the column leads with a negative, you factor out a negative

a)

True

b)

False

78.

Is this factored correctly?

a)

Yes

b)

No

79.

Factor the trinomial: x^2 + 7x + 12

a)

(x + 5)(x + 7)

b)

(x + 1)(x + 12)

c)

(x + 2)(x + 6)

d)

(x + 3)(x + 4)

80.

Factor the trinomial: x^2 + 9x + 14

a)

(x + 2)(x + 7)

b)

(x + 2)(x + 5)

c)

(x + 3)(x + 4)

d)

(x + 1)(x + 14)

81.

Factor the trinomial: x^2 + 4x + 3

a)

(x + 1)(x + 3)

b)

(x + 1)(x + 4)

c)

(x + 2)(x + 3)

d)

(x + 1)(x + 2)

82.

Factor the trinomial: x^2 + 2x + 1

a)

(x + 1)^2

b)

x^2 + 2x - 1

c)

(x + 1)(x + 1)

d)

x^2 + 1

83.

Factor the trinomial: x^2 + 6x + 9

a)

(x+3)(x+6)

b)

(x+2)(x+4)

c)

(x+3)^2

d)

(x+4)(x+5)

84.

Factor the trinomial: x^2 + 6x + 9

a)

(x+3)(x+6)

b)

(x+2)(x+4)

c)

(x+3)^2

d)

(x+4)(x+5)

85.

Factor the trinomial: x^2 + 6x + 9

a)

(x+3)(x+6)

b)

(x+2)(x+4)

c)

(x+3)^2

d)

(x+4)(x+5)

86.

Factor
n² + 16n + 63

a)

(n-7)(n+4)

b)

(n+7)(n-9)

c)

(n-3)(n-10)

d)

(n+7)(n+9)

87.

Factor:
x² + 6x + 20

a)

(x + 4)(x + 5)

b)

(x + 20)(x + 1)

c)

(x + 10)(x + 2)

d)

PRIME

88.

Factor the trinomial.
p² + 18p + 45

a)

(p + 3)(p + 6)

b)

(p + 15)(p + 3)

c)

(p + 9)(p + 9)

d)

(p + 12)(p + 6)

89.

Factor the Trinomial:
x² - 8x + 15

a)

(x + 5) ( x + 3)

b)

(x - 5) (x - 3)

c)

(x + 15) (x - 1)

d)

(x - 7) (x - 8)

90.

Factor
a² - a - 12

a)

(a - 4)(a + 3)

b)

(a + 6)(a - 4)

c)

(a - 6)(a + 4)

d)

(a + 4)(a - 3)

91.

Factor
x² - 4x - 32

a)

(x + 4)(x + 8)

b)

(x - 4)(x + 8)

c)

(x + 4)(x - 8)

d)

(x -2)(x + 3)

92.

Factor:

v² - 3v - 80

a)

Prime

b)

(v + 22)(v - 4)

c)

(v + 8)(v - 11)

d)

(v - 22)(v + 4)

93.

Select one of the factors of the quadratic expression.

x²+ 5x - 14

a)

(x + 14)

b)

(x + 2)

c)

(x + 7)

d)

(x - 3)

94.

Select one of the factors of the quadratic expression.

x²+ 5x + 6

a)

(x + 2)

b)

(x + 6)

c)

(x - 1)

d)

(x - 3)

95.

State one of the factors of the quadratic expression.

x² + x - 12

a)

(x + 3)

b)

(x + 4)

c)

(x + 6)

d)

(x - 4)

96.

Mrs. Ashley used similar triangles to make a design. Which statement about the triangles in the design must be true?

a)

They are the same size and shape.

b)

They are the same size but different shapes.

c)

They have corresponding angles that are congruent.

d)

They have corresponding sides that are congruent.

97.

The two parallelograms above are similar.
What is the length in inches of line segment PQ?

a)

40 in.

b)

34 in.

c)

38 in.

d)

14 in.

98.

If triangles ADE and ABC shown in the figure above are similar, what is the value of x?

a)

4

b)

5

c)

6

d)

8

99.

A picture of a school’s mascot is 18 in. wide and 24 in. long. It is enlarged proportionally to banner size. If the width is enlarged to 54 in., what is the length of the banner?

a)

72 in

b)

60 in

c)

62 in

d)

80 in

100.

A 6 foot tall man casts a shadow that is 9 feet long. He is standing next to a child who casts a shadow 6 feet long. How tall is the child?

a)

3 ft

b)

4 ft

c)

2.5 ft

d)

4.5 ft

101.

A statue that is 12 ft tall casts a shadow that is 15 feet long. Find the length of the shadow of a 4 foot tall bird bath that is next to the statue.

a)

45 ft

b)

3.2 ft

c)

4 ft

d)

5 ft

102.

A 15 foot tall giraffe casts a shadow that is 4 feet long. If a tree next to the giraffe casts a shadow that is 12 feet long, how tall is the tree?

a)

48 feet

b)

60 feet

c)

200 feet

d)

45 feet

103.

Desmond measured a city park and made a scale drawing. The scale he used was 1 centimeter : 9 meters. The actual width of the soccer field is 54 meters. How wide is the field in the drawing?

a)

6 cm

b)

486 cm

c)

9 cm

d)

54 cm

104.

Alan drew a scale drawing of a house and its lot. The scale he used was 1 millimeter : 5 meters. In the drawing, the lawn in the backyard is 10 millimeters long. What is the length of the actual lawn?

a)

50 m

b)

2 m

c)

10 m

d)

5 m

105.

Polygon A and B are similar. Give the scale factor of figure A to figure B.

a)

5:2

b)

2:5

c)

5:3

d)

3:5

106.

a)

18.75

b)

12

c)

15

d)

17

107.

a)

X = 35, Y = 8

b)

X = 2.86, Y = 98

c)

X = 98, Y = 2.86

d)

X = 8, Y = 35

108.

a)

X = 14

b)

X = 12

c)

X = 15

d)

X = 18

109.

a)

X = 14

b)

X = 16

c)

X = 18

d)

X = 13

110.

Solve for X.

a)

2 ft

b)

3 ft

c)

4 ft

d)

6 ft

111.

Are the triangles similar?

a)

Yes

b)

No

112.

If two figures are similar their angles are______.

a)

proportional

b)

congruent

c)

supplementary

d)

complementary

113.

If two figures are similar, the corresponding sides are ______________.

a)

equal

b)

congruent

c)

proportional

d)

none of these

114.

a)

X = 15

b)

X = 20

c)

X = 25

d)

X = 18

115.

Two objects that are the same shape but not the same size are _______.

a)

Congruent

b)

Vertical

c)

Similar

d)

Complementary

116.

Sides in similar figures must be proportional.

a)

True

b)

False

117.

All angles in similar figures are congruent.

a)

True

b)

False

118.

The 2 shapes are similar. Find x.

a)

2

b)

7

c)

0.5

d)

12

119.

Sides in similar figures must be proportional.

a)

True

b)

False

120.

Are the triangles similar?

a)

Yes

b)

No

121.

What does it mean for two shapes to be similar?

a)

Same shape, but different size.

b)

Same size and same shape.

c)

Their angles add up to 180^o.

d)

They are congruent.

122.

Determine if the triangles are similar and if they are, what postulate proves them to be similar.

a)

$AA\sim$

b)

$SAS\sim$

c)

$SSS\sim$

d)

Not Similar

123.

Determine if the triangles are similar and if they are, what postulate proves them to be similar.

a)

$AA\sim$

b)

$SAS\sim$

c)

$SSS\sim$

d)

Not Similar

124.

Determine if the triangles are similar and if they are, what postulate proves them to be similar.

a)

$AA\sim$

b)

$SAS\sim$

c)

$SSS\sim$

d)

Not Similar

125.

Determine if the triangles are similar and if they are, what postulate proves them to be similar.

a)

$AA\sim$

b)

$SAS\sim$

c)

$SSS\sim$

d)

Not Similar

126.

Determine if the triangles are similar and if they are, what postulate proves them to be similar.

a)

$AA\sim$

b)

$SAS\sim$

c)

$SSS\sim$

d)

Not Similar

127.

Determine if the triangles are similar and if they are, what postulate proves them to be similar.

a)

$AA\sim$

b)

$SAS\sim$

c)

$SSS\sim$

d)

Not Similar

128.

Determine if the triangles are similar and if they are, what postulate proves them to be similar.

a)

$AA\sim$

b)

$SAS\sim$

c)

$SSS\sim$

d)

Not Similar

129.

Determine if the triangles are similar and if they are, what postulate proves them to be similar.

a)

$AA\sim$

b)

$SAS\sim$

c)

$SSS\sim$

d)

Not Similar

130.

Determine if the triangles are similar and if they are, what postulate proves them to be similar.

a)

$AA\sim$

b)

$SAS\sim$

c)

$SSS\sim$

d)

Not Similar

131.

Determine if the triangles are similar and if they are, what postulate proves them to be similar.

a)

$AA\sim$

b)

$SAS\sim$

c)

$SSS\sim$

d)

Not Similar

132.

Determine if the triangles are similar and if they are, what postulate proves them to be similar.

a)

$AA\sim$

b)

$SAS\sim$

c)

$SSS\sim$

d)

Not Similar

133.

Determine if the triangles are similar and if they are, what postulate proves them to be similar.

a)

$AA\sim$

b)

$SAS\sim$

c)

$SSS\sim$

d)

Not Similar

134.

Determine if the triangles are similar and if they are, what postulate proves them to be similar.

a)

$AA\sim$

b)

$SAS\sim$

c)

$SSS\sim$

d)

Not Similar

135.

Determine if the triangles are similar and if they are, what postulate proves them to be similar.

a)

$AA\sim$

b)

$SAS\sim$

c)

$SSS\sim$

d)

Not Similar

136.

Determine if the triangles are similar and if they are, what postulate proves them to be similar.

a)

$AA\sim$

b)

$SAS\sim$

c)

$SSS\sim$

d)

Not Similar

137.

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

a)

SSS

b)

SAS

c)

ASA

d)

Not Possible

138.

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

a)

SSS

b)

SAS

c)

AAS

d)

Not Possible

139.

a)

SAS

b)

None

c)

SSS

d)

ASA

140.

a)

AAS

b)

ASA

c)

SAS

d)

SSS

141.

Which triangle congruence theorem can be used to prove the triangles are congruent?

a)

ASA

b)

SSS

c)

SAS

d)

HL

142.

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.

143.

Are the two triangles congruent?

If so, which Triangle Congruence Theorem proves they are congruent?

a)

No, they are not congruent

b)

Yes, SAS

c)

Yes, SSS

d)

Yes, ASA

e)

Yes, AAS

144.

Are the two triangles congruent?

If so, which Triangle Congruence Theorem proves they are congruent?

a)

No, they are not congruent

b)

Yes, SAS

c)

Yes, SSS

d)

Yes, ASA

e)

Yes, AAS

145.

Are the two triangles congruent?

If so, which Triangle Congruence Theorem proves they are congruent?

a)

No, they are not congruent

b)

Yes, SAS

c)

Yes, SSS

d)

Yes, ASA

e)

Yes, AAS

146.

Are the two triangles congruent?

If so, which Triangle Congruence Theorem proves they are congruent?

a)

No, they are not congruent

b)

Yes, SAS

c)

Yes, SSS

d)

Yes, ASA

e)

Yes, AAS

147.

Are the two triangles congruent?

If so, which Triangle Congruence Theorem proves they are congruent?

a)

No, they are not congruent

b)

Yes, SAS

c)

Yes, SSS

d)

Yes, ASA

e)

Yes, AAS

148.

Are the two triangles congruent?

If so, which Triangle Congruence Theorem proves they are congruent?

a)

No, they are not congruent

b)

Yes, SAS

c)

Yes, SSS

d)

Yes, ASA

e)

Yes, AAS

149.

Are the two triangles congruent?

If so, which Triangle Congruence Theorem proves they are congruent?

a)

No, they are not congruent

b)

Yes, SAS

c)

Yes, SSS

d)

Yes, ASA

e)

Yes, AAS

150.

What addition piece of information would allow you to conclude that $\Delta DEF\cong\Delta PQR$ using SAS?

a)

$\angle D\cong\angle P$

b)

$\angle E\cong\angle Q$

c)

$\angle D\cong\angle Q$

d)

$\angle F\cong\angle R$

151.

What additional information can be used to show that $\Delta ABC\cong\Delta DEF$ by AAS? Select all that apply.

a)

$\angle B\cong\angle F$

b)

$\angle B\cong\angle E$

c)

$\angle A\cong\angle F$

d)

$\angle C\cong\angle F$

152.

Which triangle congruence theorem can be used to prove the triangles are congruent?

a)

SSS

b)

ASA

c)

AAS

d)

SAS

153.

Which triangle congruence theorem can be used to prove the triangles are congruent?

a)

AAS

b)

SSS

c)

SAS

d)

SSA

154.

Which triangle congruence theorem can be used to prove the triangles are congruent?

a)

SAS

b)

Not enough information

c)

SSS

d)

AAS

155.

Which congruency statement can be written for the triangles pictured?

a)

$\Delta ACB\cong\Delta ABD$

b)

$\Delta BAC\cong\Delta BAD$

c)

$\Delta CAB\cong\Delta DBA$

d)

$\Delta ADB\cong\Delta BCA$

156.

$ΔCZH≅Δ$ _____ by _____

a)

ΔZET , AAA

b)

ΔEZT , AAA

c)

ΔZET , SAS

d)

Cannot Be Determined

157.

Including the Reflexive Property, state whether the triangles are congruent and why.

a)

yes, SSS

b)

yes, ASA

c)

yes, AAS

d)

yes, HL

158.

Using the fact that vertical angles are congruent, which theorem proves the triangles are congruent.

a)

SAS

b)

ASA

c)

AAS

d)

HL

159.

Fill in the missing reason for the two column proof.

a)

Definition of a Segment Bisector

b)

Definition of a Midpoint

c)

Definition of an Angle Bisector

d)

Transitive Property of Equality

160.

Fill in the missing reason for the 2-Column proof.

a)

Vertical Angles Theorem (VAT)

b)

Definition of a Midpoint

c)

Definition of an Angle Bisector

d)

Alternate Interior Angles Theorem (AIAT)

161.

Fill in the missing reason for the 2-Column Proof.

a)

Vertical Angles Theorem (VAT)

b)

Right Angle Congruence Theorem (RACT)

c)

Definition of an Angle Bisector

d)

Alternate Interior Angles Theorem (AIAT)

162.

Fill in the missing reason for the 2-Column Proof.

a)

Definition of an Angle Bisector

b)

Base Angles Theorem (BAT)

c)

Definition of an Isosceles Triangle

d)

Definition of a Segment Bisector

163.

Fill in the missing reason for the 2-Column proof.

a)

Vertical Angles Theorem (VAT)

b)

Alternate Interior Angles Theorem (AIAT)

c)

Definition of an Angle Bisector

d)

Definition of an Isosceles Triangle

164.

Fill in the missing reason for the 2-Column Proof.

a)

Definition of an Isosceles Triangle

b)

Vertical Angles Theorem (VAT)

c)

Definition of an Angle Bisector

d)

Right Angle Congruence Theorem (RACT)

165.

Fill in the missing reason for the 2-Column proof.

a)

Definition of a Segment Bisector

b)

Reflexive Property of Congruence

c)

Definition of a Midpoint

d)

Definition of an Isosceles Triangle

166.

Fill in the missing reason for the 2-Colmun Proof.

a)

Definition of Perpendicular

b)

Definition of a Right Angle

c)

Right Angle Congruence Theorem (RACT)

d)

Definition of an Angle Bisector

167.

Fill in the missing Postulate or Theorem.

a)

Side-Angle-Side (SAS)

b)

Angle-Side-Angle (ASA)

c)

Angle-Angle-Side (AAS)

d)

Hypotenuse-Leg (HL)

168.

Finish the congruency statement.

a)

JHG

b)

GHJ

c)

HGJ

d)

JGH

169.

Are the triangles in the diagram congruent?

a)

Yes, because all corresponding angles are congruent.

b)

Yes, because all corresponding sides are congruent.

c)

No, because even though the corresponding angles are congruent, the corresponding sides are not congruent

d)

Yes, they look like they are the same size.

170.

Which of the following statements is true for the triangles in the diagram?

a)

ΔDEG ≅ ΔEFG

b)

ΔDEG ≅ ΔFGE

c)

ΔDEG ≅ ΔGFE

d)

The triangles are not congruent.

Semester 1 Digital Review (Fall '25)

Total questions: 170

Worksheet time: 12hrs 54mins

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