Free Printable Geometry End of Course Review #1

1.

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

a)

9

b)

$\sqrt{41}$

c)

$\sqrt{17}$

d)

$2\sqrt{10}$

2.

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)

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

d)

$m\angle BEC=58\degree$

3.

Solve for x.

a)

0

b)

3

c)

15

d)

No Solution

4.

$\angle1$ and $\angle2$ are supplementary angles. $\angle1$ and $\angle3$ are vertical angles. If $m\angle2=72\degree$ , then find $m\angle3$ .

a)

$108\degree$

b)

$72\degree$

c)

$54\degree$

d)

36 °

5.

What type of statement is the following:
An angle is a right angle if and only if the measure of the angle is $90\degree$ .

a)

Conditional

b)

Biconditional

c)

Converse

d)

Inverse

e)

Contrapositive

6.

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

7.

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

8.

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

9.

For the cube shown, $\overline{AD}\$ and $\overline{HG}$ are

a)

Parallel

b)

Perpendicular

c)

Coplanar

d)

Skew

10.

In the figure, $\angle6$ and $\angle3$ are

a)

Alternate Interior Angles

b)

Consecutive (Same Side) Interior Angles

c)

Vertical Pair

d)

Corresponding Angles

11.

$l\parallel r$ and $r$ is a transversal. Which of the following is not true?

a)

$\angle5\cong\angle3$

b)

$\angle2\cong\angle8$

c)

$\angle7\cong\angle4$

d)

$\angle2\cong\angle6$

12.

Lines h and k are two parallel lines that have been cut by the transversal t. What is the measure of $\angle1$ ?

a)

$19\degree$

b)

$29\degree$

c)

$71\degree$

d)

$109\degree$

13.

In the figure below, line k is perpendicular to line l. Based on the information given in the figure, find the measure of $\angle C$ .

a)

$47\degree$

b)

$43\degree$

c)

$137\degree$

d)

$133\degree$

14.

Find $m\angle1$ in the figure. $\overleftarrow{P}\overrightarrow{Q}$ and $\overleftarrow{R}\overrightarrow{S}$ are parallel.

a)

$40\degree$

b)

$80\degree$

c)

$100\degree$

d)

$120\degree$

15.

In the figure, $l\perp m$ and $l\perp n$ . If $m\angle1=113\degree$ . what is the measure of $\angle2$

a)

$23\degree$

b)

$67\degree$

c)

$77\degree$

d)

$113\degree$

16.

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

17.

Find the slope intercept form of a line passing through the point (-2, 3) and parallel to the line y=3x+6

a)

$y=3x+3$

b)

$y=3x+9$

c)

$y=-\frac{1}{3}x+3$

d)

$y=-\frac{1}{3}x+9$

18.

Find the slope intercept form of a line passing through the point (1,1) and perpendicular to the line $y=-\frac{1}{4}x-4$

a)

$y=-\frac{1}{4}x+1$

b)

$y=-\frac{1}{4}x+4\frac{1}{4}$

c)

$y=4x+4$

d)

$y=4x-3$

19.

Find the measures of the interior angles. (Drawing is not to scale)

a)

$26\degree,\ 52\degree,\ 102\degree$

b)

$51\degree,\ 53\degree,\ 80\degree$

c)

$51\degree,\ 53\degree,\ 76\degree$

d)

$50\degree,\ 52\degree,\ 74\degree$

20.

The measure of $\angle B$ is:
(51 is an interior angle measure)

a)

$1\degree$

b)

$79\degree$

c)

$101\degree$

d)

$130\degree$

21.

The two triangle-shaped gardens are congruent. Find the missing side lengths and angle measures.

a)

$a=4\ ft,\ b=24\degree,\ c=90\degree,\ d=66\degree,\ e=9.8\ ft$

b)

$a=9\ ft,\ b=24\degree,\ c=90\degree,\ d=66\degree,\ e=9.8\ ft$

c)

$a=4\ ft,\ b=66\degree,\ c=90\degree,\ d=24\degree,\ e=9.8\ ft$

d)

$a=9\ ft,\ b=66\degree,\ c=90\degree,\ d=24\degree,\ e=4\ ft$

22.

Which of the following statements is true?

a)

$\Delta HJK\cong\Delta KIH$ by SSS

b)

$\Delta HIK\cong\Delta JIK$ by SAS

c)

$\Delta HKI\cong\Delta JKI$ by SSS

d)

There are no $\cong$ triangles.

23.

Which of the following statements is true?

a)

$\Delta HIJ\cong\Delta KLJ$ by ASA

b)

$\Delta HIJ\cong\Delta JKL$ by SAS

c)

$\Delta HIJ\cong\Delta LKJ$ by ASA

d)

$\Delta HIJ\cong\Delta KLJ$ by SAS

24.

What must be true in order for $\Delta ABC\cong\Delta EDC$ by SAS congruence postulate?

a)

$\angle B\cong\angle D$

b)

$\angle A\cong\angle E$

c)

$\overline{AC}\cong\overline{CE}$

d)

$\overline{AB}\cong\overline{DE}$

25.

Given: $\angle B\cong\angle E$ and $\angle C\cong\angle F$ . What other piece of information is needed to show $\Delta ABC\cong\Delta DEF$ by ASA Congruence Postulate?

a)

$\angle A\cong\angle D$

b)

$\overline{AB}\cong\overline{DE}$

c)

$\overline{AC}\cong\overline{DF}$

d)

$\overline{BC}\cong\overline{EF}$

26.

In $\Delta ABC$ , if $\overline{AB}\cong\overline{BC}$ and $m\angle A=39\degree$ , then $m\angle C=$

a)

$39\degree$

b)

$51\degree$

c)

$102\degree$

d)

$141\degree$

27.

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)

$\angle ADB\cong\angle CDB$

28.

$\Delta LMN$ is an isosceles triangle with $\overline{LM}\cong\overline{LN}$ . What is the measure of $\angle LMN$ ?

a)

$21\degree$

b)

$46\degree$

c)

$67\degree$

d)

$113\degree$

29.

What is the measure of $\angle CAB$ ?

a)

$40\degree$

b)

$60\degree$

c)

$100\degree$

d)

$140\degree$

30.

Refer to the figure. A median of $\Delta ABC$ is

a)

$\overline{BD}$

b)

$\overleftarrow{B}\overrightarrow{E}$

c)

$\overline{BF}$

d)

$\overleftarrow{F}\overrightarrow{G}$

31.

Refer to the figure. An altitude of $\Delta ABC$ is

a)

$\overline{BD}$

b)

$\overleftarrow{B}\overrightarrow{E}$

c)

$\overline{BF}$

d)

$\overleftarrow{F}\overrightarrow{G}$

32.

For the triangle shown, VS=5 and VQ=6. Then PQ=

a)

5

b)

7.5

c)

10

d)

12

33.

Solve for x given BD=3.5x+2 and AE=4x+7. Assume that B is the midpoint of $\overline{AC}$ and D is the midpoint of $\overline{CE}$ .

a)

1

b)

3

c)

10

d)

11

34.

Refer to the figure. The longest side is

a)

$\overline{NM}$

b)

$\overline{LN}$

c)

$\overline{NP}$

d)

$\overline{LM}$

35.

Which is the appropriate symbol to place in the blank? (Not drawn to scale)
$\overline{AB}$ ____ $\overline{AC}$

a)

<

b)

>

c)

=

d)

The triangles are not set up correctly for Hinge Theorem.

36.

Is it possible for a triangle to have sides with the given lengths? Explain.

4 cm, 5 cm, and 9 cm

a)

Yes, 9>4 and 9>5

b)

Yes, 5+9>4

c)

Yes, 4+5=9

d)

No, 4+5=9

37.

Which side lengths allow you to construct a triangle?

a)

4, 1, and 9

b)

2, 3, and 8

c)

6, 8, and 10

d)

7, 2, and 2

38.

Refer to the figure. Choose the correct statement.

a)

$x<10$

b)

$x=13$

c)

$10<x<13$

d)

$x>13$

Geometry End of Course Review #1

Total questions: 38

Worksheet time: 19mins

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