Free Printable Segment and Angle Proof

1.

The figure is an example of a(n) ...

a)

angle bisector

b)

perpendicular bisector

c)

median

d)

midsegment

2.

Which of the following segments represents an altitude?

a)

BX

b)

AZ

c)

AC

d)

BZ

3.

Name the angles from SMALLEST to LARGEST

a)

Q, R, P

b)

P, Q, R

c)

R, P, Q

d)

R, Q, P

4.

Name the angles from LARGEST to SMALLEST

a)

R, S, T

b)

S, T, R

c)

S, R, T

d)

T, S, R

5.

Which of the following choices are in the correct order to fill in the proof?

a)

Given; Segment Addition Postulate; Substitution; Definition of midpoint; Addition; Simplify

b)

Given; Definition of midpoint; Addition; Simplify; Segment Addition Postulate; Substitution

c)

Given; Substitution; Addition, Simplify; Definition of midpoint; Segment Addition Postulate

6.

Which option best fills in the blank in the proof?

a)

Substitution Property

b)

Definition of Linear Pair

c)

Definition of Supplementary Angles

d)

Angle Addition Postulate

7.

Which choice shows the Reasons in the proper order?

a)

Given; Definition of a Right Angle; Angle Addition Postulate; Definition of Complementary; Substitution

b)

Given; Definition of a Right Angle; Substitution; Angle Addition Postulate; Definition of Complementary

c)

Given; Definition of a Right Angle; Angle Addition Postulate; Substitution; Definition of Complementary

8.

In order for ABCD to be a parallelogram, what must the value of x be?

a)

132

b)

66

c)

114

d)

48

9.

x=

y=

Choose 2 answers

a)

7

b)

25

c)

6

d)

11

e)

18

10.

Find the largest side in Δ BCD

a)

Segment BC

b)

Segment DB

c)

Segment DC

d)

Segment AB

11.

Use the figure to determine which of the following angles has the greatest measure: $\angle\ 4,\ \angle\ 8,\ \angle9$

a)

$\angle4$

b)

$\angle8$

c)

$\angle9$

d)

Not enough information

12.

Use the Exterior Angle Inequality Theorem to list all angles that satisfy the stated condition: measures are less than $\angle3$

a)

$\angle2,\ \angle6,\ \angle8,\ \angle9$

b)

$\angle1,\ \angle6,\ \angle8$

c)

$\angle5,\ \angle7,\ \angle8$

d)

$\angle2,\ \angle4,\ \angle7,\ \angle8$

13.

The figure is an example of a(n) ...

a)

altitude

b)

perpendicular bisector

c)

midsegment

d)

angle bisector

14.

Find the largest angle in Δ PRQ

a)

∠R

b)

∠P

c)

∠Q

d)

∠S

15.

Use the Exterior Angle Inequality Theorem to list all angles that satisfy the stated condition: measures are less than $\angle1$

a)

$\angle3,\ \angle4,\ \angle5,\ \angle7,\ \angle8$

b)

$\angle3,\ \angle4,\ \angle5,\ \angle6,\ \angle8$

c)

$\angle2,\ \angle6,\ \angle7,\ \angle8$

d)

$\angle2,\ \angle6,\ \angle8,\ \angle9$

16.

Find the value of x.

a)

31

b)

61

c)

91

d)

1

17.

What is the vertical angle to angle 4?

a)

Angle 2

b)

Angle 6

c)

Angle 8

d)

Angle 7

18.

What is the measure of ∠ABC?

a)

25°

b)

75°

c)

108°

d)

150°

19.

Which is the correct way to state that these lines are perpendicular?

a)

b)

20.

Which is the correct way to show that these two lines are parallel?

a)

b)

Segment and Angle Proof

Total questions: 20

Worksheet time: 20mins

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