Free Printable Geometry End of Course Review

1.

If $2PR=PT$ , prove that R is the midpoint of $\overline{PT}$ . Give the missing reason in the proof.

a)

Segment Addition Postulate

b)

Addition Property of Equality

c)

Division Property of Equality

d)

Definition of Midpoint

2.

Refer to the figure. Which theorem guarantees $l$ and $m$ are parallel?

a)

Corresponding Angle Theorem

b)

Corresponding Angle Converse

c)

Alternate Exterior Angle Theorem

d)

Alternate Exterior Angle Converse

3.

Give a statement for the missing step.

a)

$\overline{AD}\cong\overline{CD}$

b)

$\angle ABD\cong\angle CBD$

c)

$\angle BAD\cong\angle BCD$

d)

$\angle ADB\cong\angle CDB$

4.

The figure is a parallelogram.
Solve for x.

a)

7

b)

2

c)

0

d)

4

5.

Which pair of angles are alternate exterior angles?

a)

Angle 7 and Angle 4

b)

Angle 2 and Angle 6

c)

Angle 8 and Angle 1

d)

Angle 2 and Angle 8

6.

Solve for x.

a)

5

b)

8

c)

3

d)

11

7.

Which is a correct congruence statement.

a)

A

b)

B

c)

C

d)

D

8.

Name the corresponding angle or side.

a)

A

b)

B

c)

C

d)

D

9.

Which of the following segments represents an altitude?

a)

BX

b)

AZ

c)

AC

d)

BZ

10.

Find the distance between (5, -3) and (1, 2)

a)

9

b)

$\sqrt{41}$

c)

$\sqrt{17}$

d)

$2\sqrt{10}$

11.

In the figure, $m\angle AEB=32\degree$ . Which of the following statements is true?

a)

$\angle AEB$ and $\angle DEC$ are a linear pair

b)

$m\angle AED=148\degree$

c)

$null$ and $\angle BEC$ are vertical angles

d)

$m\angle BEC=58\degree$

12.

Solve for x.

a)

0

b)

3

c)

15

d)

No Solution

13.

Give the reason for the final step taken from a proof.

Statements/ Reasons
$\angle1$ is the complement of $\angle2$ /Given
$\angle3$ is the complement of $\angle4$ /Given
$\angle2\cong\angle4$ /Given
$\angle1\cong\angle3$ /__________________

a)

Definition of Congruence

b)

Definition of Complementary

c)

Congruent Complements Theorem

d)

Congruent Supplements Theorem

14.

Give a reason for the missing step in the proof.

a)

Definition of Supplementary

b)

Linear Pair Postulate

c)

Addition Property of Equality

d)

Definition of Linear Pair

Geometry End of Course Review

Total questions: 14

Worksheet time: 14mins

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