wayground logo

Free Printable Worksheets

NEW

Font size

S
M
L
XL
Worksheets

Geometry Fall Review

Total questions: 50

Worksheet time: 3hrs 30mins

Name
Class
Date
1.

Find the value of x.

a)

85

b)

65

c)

115

d)

105

2.

AB has endpoints A (-4, 4) and B (6, -5). In what quadrant is the midpoint?

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

3.

Which name best describes the line?

a)
b)
c)
d)
4.

Which of the following does NOT name the angle correctly?

a)

∠ Q

b)

∠ QRS

c)

∠ 1

d)

∠ RQS

5.

What is the distance between (1, 3) and (7, 6) ?

a)

10.817

b)

12.042

c)

8.544

d)

6.708

6.

If the m∠ RMP = 87°, what is the measure of ∠ QMS?

a)

63°

b)

13°

c)

87°

d)

93°

7.

What is the intersection of two lines? Hint: Draw a picture!

a)

an angle

b)

a plane

c)

a point

d)

a line

8.

What are two angles whose sum is 90° called?

a)

supplementary angles

b)

vertical angles

c)

obtuse angles

d)

complementary angles

9.

What are two angles whose sum is 180° called?

a)

supplementary angles

b)

vertical angles

c)

obtuse angles

d)

complementary angles

10.

If m∠ADB =21° and m∠BDC = 63°, what is the measure of ∠ ADC? 

a)

21°

b)

42°

c)

63°

d)

84°

11.

Find he measure of angle x.

a)

67°

b)

76°

c)

104°

d)

114°

12.

What is it hypothesis in the statement:" If today is Tuesday, then we have school."?

a)

Tomorrow is Wednesday.

b)

We have school.

c)

Today is Tuesday.

d)

We do not have school.

13.

Given, "If angles are congruent, then the measures of the angles are equal." Identify the conclusion.

a)

If the angles are congruent.

b)

The angles are congruent.

c)

Then the measures of the angles are equal.

d)

The measures of the angles are equal.

14.

What is the statement called that can be written in the form "if p, then q" where p is the hypothesis and q is the conclusion?

a)

converse

b)

inverse

c)

conditional

d)

contrapositive

15.

An example that proves that a statement is false is a ____________________.

a)

conjecture

b)

conditional

c)

contrapositive

d)

counterexample

16.

If something is an angle, then it is acute. What is an appropriate counterexample?

a)

70⁰

b)

45⁰

c)

120⁰

d)

True. There is no counterexample.

17.

Identify the property you would use to solve this equation:

4x = 72

a)

Addition Property of Equality

b)

Subtraction Property of Equality

c)

Multiplication Property of Equality

d)

Division Property of Equality

18.

Identify the property you would use to solve this equation:

y – 7 = 28

a)

Additive Property of Equality

b)

Subtraction Property of Equality

c)

Multiplicative Property of Equality

d)

Division Property of Equality

19.
For any numbers a, b, and c, if a = b and b = c, then a = c.
a)
Transitive Property         
b)
Symmetric Property
c)
Reflexive Property
d)
Substitution Property
20.
Which property is shown below?
__________________________
If t = 72, then t + 16 = 88 can be rewritten as 72 + 16 = 88
a)
Addition Property
b)
Substitution Property
c)
I Do What I Want Property
d)
Associative Property
21.

If you were to rotate ABCD 180° about the origin, what would the coordinate of A' be?

a)

(-5, 5)

b)

(-3, -5)

c)

(-5, 3)

d)

(-3, 3)

22.
Triangle C is rotated 180° clockwise with the origin as the center of rotation to create a new figure. Which triangle shows the new location?
a)
A
b)
B
c)
C
d)
D
23.
How is trapezoid ABCD translated to trapezoid A'B'C'D'?
a)
Translated 5 units down and 5 units to the right
b)
Translated 5 units down and 1 to the right
c)
Translated 8 units down and 5 units to the right
d)
Translated 5 units down and 4 units to the right
24.

What rule describes the translation?

a)

(x - 6, y + 2)

b)

(x - 2, y + 6)

c)

(x + 2, y - 6)

d)

(x + 6, y - 2)

25.

Determine how to translate triangle ABC to triangle A'B'C'.

a)

(x+9, y-2)

b)

(x+2, y+9)

c)

(x-2, y+9)

d)

(x-9, y+2)

26.

Which answer shows a reflection across the x-axis?

a)

d

b)

c

c)

b

d)

a

27.

Which answer shows a reflection across the y-axis?

a)

a

b)

b

c)

c

d)

d

28.

Which graph shows the pre-image reflected over y-axis?

a)
b)
c)
d)
29.
How many lines of symmetry does this shape have?
a)
1
b)
2
c)
3
d)
4
30.
Identify the transformation from ABC to A'B'C'.
a)
90o clockwise rotation
b)
90o counter clockwise rotation
c)
Reflection across the y-axis
d)
Reflection across the x-axis
31.

Name the relationship and how their angle measures are related

a)

Alternate Exterior, Congruent

b)

Alternate Exterior, Supplementary

c)

Alternate Interior, Congruent

d)

None of These Options

32.

Name the relationship and how their angle measures are related.

a)

Alternate Interior, Congruent

b)

Alternate Interior, Supplementary

c)

Alternate Exterior, Congruent

d)

Same-Side Interior, Supplementary

33.

Name the relationship and how their angle measures are related.

a)

Corresponding, Congruent

b)

Corresponding, Supplementary

c)

Vertical Angles, Congruent

d)

None of These Options

34.

Name the relationship and how their angle measures are related.

a)

Same-Side Interior, Congruent

b)

Same-Side Interior, Supplementary

c)

None of These Options

d)

Corresponding, Congruent

35.

If angle 1 has a measure of 135o, then m∠6 =

a)

90o

b)

135o

c)

45o

d)

65o

36.

If m∠6 = 50o then m∠4 =

a)

50o

b)

90o

c)

130o

d)

360o

37.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
ASA
c)
SSA
d)
HL
38.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
Not Possible
39.
Name the postulate, if possible, that makes the triangles congruent.
a)
SAS
b)
ASA
c)
AAS
d)
Not Possible
40.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
HL
41.
Which triangle congruence theorem can be used to prove the triangles are congruent?
a)
SSS
b)
SAS
c)
AAS
d)
ASA
42.
∆ABC≅∆XYZ
which is true?
a)
AB≅XY
b)
AB≅YX
c)
AB≅XZ
d)
BC≅CB
43.
What is the correct congruence statement for these congruent triangles?
a)
ΔRTS ≅ΔEFD
b)
ΔRTS ≅ΔFDE
c)
ΔRTS ≅ΔFED
d)
ΔRTS ≅ΔDEF
44.

What additional information do you need to prove the triangles congruent by ASA?

a)

∠ B ∠ T

b)

Side BC Side TV

c)

Side AC Side UV

d)

Side AB Side UT

45.

What additional information is needed to prove the triangles congruent by ASA?

a)

Side EG Side RP

b)

Side FG Side QP

c)

∠G ∠P

d)

∠F ∠Q

46.
What is the value of the missing angle?
a)
61
b)
50
c)
60
d)
69
47.
What is the measure of angle b?
a)
36o
b)
56o
c)
63o
d)
117o
48.

Which two angles are the remote interior angles to Angle A?

a)

Angle C and Angle B

b)

Angle D and Angle B

c)

Angle C and Angle D

d)

Angle B and Angle A

49.

Set up an equation to find x.

a)

42 + 8x = 2 + 12x

b)

2 + 12x + 42 = 8x

c)

42 + 8x + 2 + 12x = 180

d)

42 + 8x = 180

50.
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