Free Printable Geometry Mid-Term 2021

1.

A point that divides, or bisects, a segment into two congruent segments

a)

Midpont

b)

Vertex

c)

Bisector

d)

Intersection

2.

A point that divides, or bisects, a segment into two congruent segments

a)

Midpont

b)

Vertex

c)

Bisector

d)

Intersection

3.

Find the value of x.

a)

15

b)

16

c)

18

d)

19

4.

a)

A

b)

B

c)

C

d)

D

5.

Solve for x

a)

6

b)

140

c)

20

d)

90

6.

a)

a

b)

b

c)

c

d)

d

7.

a)

A

b)

B

c)

C

d)

D

8.

If LN = 32, what is MN?

a)

11

b)

20

c)

12

d)

10

9.

a)

20

b)

10

c)

54

d)

12

10.

∠A ≅∠?

a)

∠B

b)

∠E

c)

∠D

d)

∠F

11.

∆ABC≅∆XYZ
which is true?

a)

AB≅XY

b)

AB≅YX

c)

AB≅XZ

d)

BC≅CB

12.

What is the distance between the two points?

a)

6.3

b)

6.5

c)

6.7

d)

16

13.

Write an equation for a line parallel to the line
y = 1/3x - 4 through (-3, 2)

a)

y = 2/3x +3

b)

y = -1/3x + 3

c)

y = 1/3x + 3

d)

y = -5/3x + 3

14.

a)

m∠SQP=29, m∠PQR=58

b)

m∠SQP=29, m∠PQR=29

c)

m∠SQP=58, m∠PQR=58

d)

m∠SQP=58, m∠PQR=29

15.

What is the measure of angle b?

a)

36^o

b)

56^o

c)

63^o

d)

117^o

16.

What is the distance between the points (1, 3.25) and (1, -4)

a)

2 units

b)

7.25 units

c)

7 units

d)

1 unit

17.

a)

A

b)

B

c)

C

d)

D

18.

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

a)

A

b)

B

c)

C

d)

D

19.

Name the corresponding angle or side.

a)

A

b)

B

c)

C

d)

D

20.

Which is a correct congruence statement.

a)

A

b)

B

c)

C

d)

D

21.

.

What kind of intersecting lines are these?

a)

Parallel Lines

b)

Perpendicular Lines

c)

adjacent

d)

opposite

22.

Are these two lines parallel, perpendicular or neither?
y = -1/3x - 5
y = 1/3x + 2

a)

Parallel

b)

Perpendicular

c)

Neither

23.

Find the slope of the line that goes through the points (-8,6) and (7,-3).

a)

1/3

b)

-1/3

c)

-3/5

d)

-5/3

24.

$\overrightarrow{EJ}\$ bisects $\angle DEF$ , $m\angle DEJ=5x+7$ , $m\angle JEF=8x-8$ .
Find x.

a)

5

b)

2

c)

6

d)

13

25.

Find x, then find the measurement of both angles.

a)

x = 30; both angles measure 118 degrees

b)

x = 30; both angles measure 114 degrees

c)

x = 20; both angles measure 112 degrees

d)

x = 20; both angles measure 110 degrees

26.

a)

A

b)

B

c)

C

d)

D

27.

Are these triangles congruent?

a)

Yes, by AAS

b)

Yes, by SAS

c)

Yes, by SSS

d)

No, this is the SSA one!!

28.

∠E ≅ ∠ __

a)

A

b)

B

c)

C

d)

D

29.

ΔXYZ ≅ Δ ____

a)

CAB

b)

BAC

c)

ABC

30.

The triangles are similar, solve for the question mark.

a)

8

b)

12.5

c)

18

d)

24

31.

Which answer shows a reflection across the x-axis?

a)

d

b)

c

c)

b

d)

a

32.

What is the rule for the following reflection?

a)

Reflection across y = 3

b)

Reflection across x = −3

c)

Reflection across x = 3

d)

Reflection across y = −3

33.

Which transformation is NOT a rigid motion (the size changes)?

a)

reflection

b)

rotation

c)

dilation

d)

translation

34.

A rigid motion ...

a)

preserves size and location

b)

preserves shape and location

c)

preserves size and shape

d)

makes the figure larger

35.

What is the slope in the equation $y=4x+3$

a)

3

b)

4

c)

3x

d)

4x

36.

$y=\frac{-2}{7}x+4$ and $y=\frac{7}{2}x-3$ are parallel lines

a)

True

b)

False

37.

If I am looking for a line parallel to $y=-3x-2$ which one of these equations could it be?

a)

$y=-2x-1$

b)

$y=3x-4$

c)

$y=-3x+6$

d)

$y=-2x-3$

38.

$y=\frac{-2}{3}x+2$ and $y=\frac{3}{2}x+9$

a)

Parallel

b)

Perpendicular

c)

Neither

39.

$-2x+y=-7$ What is the slope perpendicular to the line

a)

-2

b)

1/2

c)

-1/2

d)

2

40.

a)

A

b)

B

c)

C

d)

D

41.

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

a)

A

b)

B

c)

C

d)

D

42.

What does CPCTC stand for?

a)

Corresponding Parts of Corresponding Triangles are Congruent

b)

Congruent Parts of Corresponding Triangles are Congruent

c)

Corresponding Parts of Congruent Triangles are Congruent

43.

Fill in the missing proofs.

a)

Transitive Property, SAS(Side-Angle-Side)

b)

Reflexive Property, SAS(Side-Angle-Side)

c)

Reflexive Property, Vertical Angles Thm.

d)

Transitive Property, SSS(Side-Side-Side)

44.

What are the 2 missing pieces of information?

a)

Transitive Property, SAS(Side-Angle-Side)

b)

Reflexive Property, SAS(Side-Angle-Side)

c)

Transitive Property, SSS(Side-Side-Side)

d)

Reflexive Property, SSS(Side-Side-Side)

45.

When using hypotenuse leg (HL) in a proof, you must first state ...

a)

CPCTC.

b)

there are right triangles.

c)

that vertical angles are congruent.

d)

the reflexive property.

46.

Identify all exterior angles.

a)

1, 3, 5

b)

4, 5, 9

c)

2, 8, 9

d)

3, 6, 8

47.

Two sides of a triangle are 7 and 12 inches. What is the range of the possible side length of the third side?

a)

5 < x < 19

b)

5 > x > 19

c)

5 < x > 19

d)

4 < x < 20

48.

Find DE

a)

5

b)

6

c)

20

d)

21

49.

Calculate m∠ABC.

a)

45°

b)

60°

c)

105°

d)

15°

50.

Find the value of ∠A.

a)

25 degrees

b)

30 degrees

c)

35 degrees

d)

90 degrees

51.

∠2 & ∠6 are...

a)

Supplementary angles

b)

Vertical angles

c)

Corresponding angles

d)

Alternate interior angles

52.

AD = 12. Find AG

a)

6

b)

8

c)

18

d)

12

53.

Find the value of x and y.

a)

x = 20 and y = 94

b)

x = 67 and y = 40

c)

x =117 and y = 63

54.

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

a)

SSS

b)

SAS

c)

ASA

d)

AAS

55.

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.

56.

What is the slope of the line that is PERPENDICULAR to a line with the slope of 1/4?

a)

4

b)

-4

c)

1/4

d)

-1/4

Geometry Mid-Term 2021

Total questions: 56

Worksheet time: 1hrs 15mins

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