Free Printable CHS Geometry Fall Final Review

1.

Find the measure of angle b.

a)

15°

b)

58°

c)

128°

d)

64°

2.

Which name describes the line?

a)

b)

c)

d)

3.

$\overline{MN}$ has endpoints at M (-4, 2) and N (1, 5). In what quadrant is the midpoint of $\overline{MN}$ ?

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

4.

Find the midpoint of a line segment with endpoints (-4, 1) and (6, -5).

a)

(3, -1)

b)

(4, 2)

c)

(3, 1)

d)

(1, -2)

5.

If $\overline{BD}$ is a segment bisector and $\overline{AC}$ = 42, what is the length of $\overline{AE}$ ?

a)

21

b)

84

c)

36

d)

25

6.

Find the length of segment DE.

a)

DE = 18

b)

DE = 8

c)

DE = 3

d)

DE = 28

7.

$\overline{ST}$ lies on the coordinate plane with S located at (4, 3) and T located at (7, 7). What is the length of $\overline{ST}$ ?

a)

5

b)

6

c)

7

d)

4

8.

$\overline{AB}$ lies on the coordinate plane with A located at (1, 2) and B located at (4, 5). What is the length of $\overline{AB}$ ?

a)

$3\sqrt{2}$

b)

$2\sqrt{3}$

c)

$\sqrt{18}$

d)

$16\sqrt{2}$

9.

What equation would you use to solve for x?

a)

(4x + 3) + 71 = 180

b)

71 + (4x + 3) = 90

c)

71 = (4x+3)

d)

(x + 16) + 180 = (4x -5)

10.

What are two angles whose sum is 90 degrees called?

a)

supplementary angles

b)

vertical angles

c)

obtuse angles

d)

complementary angles

11.

For the figure, m

\angle\ BAD

= 22° and m

\angle\ CAD

= 21°. What is the m

\angle\ BAC

?

a)

48

b)

173

c)

43

d)

60

12.

Find the measure of angle b.

a)

145°

b)

35°

c)

135°

d)

180°

13.

"If I'm fast, then I get there on time." In this conditional statement, the underlined portion is _______ .

a)

the hypothesis

b)

the converse

c)

the argument

d)

the conclusion

14.

"If I am at school, then it's a fun day." What is the underlined portion called in this conditional statement?

a)

the hypothesis

b)

the converse

c)

the arguement

d)

the conclusion

15.

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

a)

conjecture

b)

conditional

c)

contrapositive

d)

counterexample

16.

Which property of equality was used?

a)

Symmetric property of equality

b)

Transitive property of equality

c)

Addition property of equality

d)

Subtraction property of equality

17.

Which property of equality was used?

a)

Symmetric Property of Equality

b)

Transitive Property of Equality

c)

Addition Property of Equality

d)

Subtraction Property of Equality

18.

Rotate the figure 90° counterclockwise about the origin. What is the coordinates of U'?

a)

(-1, 4)

b)

(1, 4)

c)

(4, -1)

d)

(1, 1)

19.

What is the coordinate notation that maps

\Delta\ ABC\ \rightarrow\ \Delta A'B'C'

?

a)

(x + 6, y - 4)

b)

(x - 4, y + 6)

c)

(x + 4, y +6)

d)

(x - 6, y + 4)

20.

What is the vector notation of the translation that maps IJHK to I'J'K'H ?

a)

< -1, -5 >

b)

< -5, -1 >

c)

< 1, -5 >

d)

< 5, 1 >

21.

Which figure has line symmetry?

a)

b)

c)

d)

22.

Which describes the figure below?

I. The figure has reflectional symmetry.

II. The figure has rotational symmetry.

a)

I only

b)

II only

c)

I and II

d)

neither

23.

What transformation is described by the notation:

\left(x,\ y\right)\ \rightarrow\ \left(x,\ -y\right)

?

a)

translation down 1 unit

b)

translation left 1 unit

c)

reflection across the y-axis

d)

reflection across the x-axis

24.

Complete the composition of transformations. (1) Translation:

\left(x,\ y\right)\rightarrow\ \left(x\ +\ 4,\ y\ -1\right)

and (2) Rotation 90 degrees CCW

a)

V'' (-3, 1)

b)

V '' (1, 3)

c)

V '' (-1, -3)

d)

V'' (3, 1)

25.

In the figure

\ \angle4\ and\ \angle\ 8

are .....

a)

alternate exterior angles (AEA)

b)

same side interior angles (SSIA)

c)

corresponding angles (CA)

d)

alternate interior angles (AIA)

26.

In the figure

\ \angle\ 3\ and\ \angle\ 5

are .....

a)

alternate exterior angles (AEA)

b)

same side interior angles (SSIA)

c)

corresponding angles (CA)

d)

alternate interior angles (AIA)

27.

In the figure

\ \angle\ 3\ and\ \angle\ 8

are .....

a)

alternate interior angles (AIA)

b)

same side interior angles (SSIA)

c)

alternate exterior angles (AEA)

d)

corresponding angles (CA)

28.

If PQ and RS are parallel, and the $m\ \angle\ 2\ =\ 38\degree$ , find the $m\ \angle\ 7$ .

a)

142°

b)

38

c)

75

d)

105°

29.

If PQ and RS are parallel, and the $m\ \angle\ 6\ =\ 47\degree$ , find the $m\ \angle\ 1$ .

a)

115°

b)

125

c)

47

d)

133

30.

a)

[1] Vertical Angles

[2] Consecutive Exterior Angles

b)

[1] Vertical Angles

[2] Alternate Interior Angles

c)

[1] Vertical Angles

[2] Consecutive Interior Angles

d)

[1] Consecutive Interior Angles

[2] Vertical Angles

31.

a)

SAS

b)

AAS

c)

SSS

d)

HL

32.

a)

SSS

b)

ASA

c)

None

d)

AAS

33.

a)

ASA

b)

HL

c)

SSS

d)

AAS

34.

a)

None

b)

AAS

c)

SAS

d)

HL

35.

Refer to the figure below.

\Delta\ XYZ\ \cong\ _{ }

___________

a)

$\Delta\ CAB$

b)

$\Delta\ BCA$

c)

$\Delta\ ABC$

d)

$\Delta\ CBA$

36.

a)

$\angle\ ABC$

b)

$\overline{AB}$

c)

$\overline{BC}$

d)

$\overline{AC}$

37.

What additional information do you need to prove

\Delta\ ABC\ \cong\ \Delta\ ADC

by the SSS Postulate?

a)

$\angle\ ABC\ \cong\ \angle\ ADC$

b)

$\angle\ ACB\ \cong\ \angle\ ACD$

c)

$\overline{BC}\ \cong\ \overline{DC}$

d)

$\overline{AB}\ \cong\ \overline{AD}$

38.

What must be true in order for

\Delta\ ABC\ \cong\ \Delta\ EDC

by the ASA Congruence Postulate?

a)

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

b)

$\angle\ A\ \cong\ \angle\ E$

c)

$\angle\ B\ \cong\ \angle\ D$

d)

$\overline{AC}\ \cong\ \overline{EC}$

39.

a)

[1] Definition of Midpoint

[2] < TPR = < QPS

[3] SAS

b)

[1] Definition of Midpoint

[2] < TPR = < QPS

[3] SSS

c)

[1] Definition of Midpoint

[2] < PRT = < PSQ

[3] SAS

d)

[1] Definition of Midpoint

[2] RT = SQ

[3] SSS

40.

If

\Delta\ ABC\ \cong\ \Delta\ XYZ

what is the measure of BC?

a)

15

b)

11

c)

7

d)

not shown

41.

Triangles LVT and L'V'T' are congruent. Which angle must be congruent to < L?

a)

$\angle\ L$

b)

$\angle\ L'$

c)

$\angle\ V'$

d)

$\angle\ T'$

42.

Choose the equation below that is true based on the figure below.

a)

X + Z + W = 180

b)

x + Y + W = 180

c)

X + Z = 180

d)

X + Y = W

43.

Find the missing angle:

a)

80°

b)

180°

c)

130°

d)

143°

44.

Use the figure below to find the missing angle.

a)

60°

b)

70°

c)

145°

d)

50°

45.

Juan's school is 12 blocks north and then 9 blocks east of his house. If he takes a helicopter that flies a direct path at school, what theorem could be used to find the distance of the helicopter ride? Assume that the blocks are square.

a)

Vertical Angle Theorem

b)

Supplementary Theorem

c)

Pythagorean Theorem

d)

Transversal Lines Theorem

46.

What is the slope of a line parallel to a line whose slope is

-\frac{7}{2}

?

a)

$-\frac{7}{2}$

b)

$-\frac{2}{7}$

c)

$\frac{2}{7}$

d)

$\frac{7}{2}$

47.

The slope of a line is

-\ \frac{4}{7}

. What is the slope of a line that is perpendicular to it?

a)

$-\ \frac{4}{7}$

b)

$-\ \frac{7}{4}$

c)

$\frac{4}{7}$

d)

$\frac{7}{4}$

48.

Write the sides of

\Delta\ IJK

in order from shortest to longest.

a)

$\overline{JK},\ \overline{IK},\ \overline{IJ}$

b)

$\overline{IK},\ \overline{JK},\ \overline{IJ}$

c)

$\overline{JK},\ \overline{IJ},\ \overline{IK}$

d)

$\overline{IJ},\ \overline{IK},\ \overline{JK}$

49.

Which of the following sets of numbers, could represent the sides of a triangle?

a)

I, II & IV

b)

I & IV

c)

I, II, III & IV

d)

II & IV

50.

Who hopes you have a Merry Christmas?

a)

Your Geometry Teachers

b)

Do not pick this one!

c)

Or this one!

d)

Especially not this one!

CHS Geometry Fall Final Review - Stephens

Total questions: 50

Worksheet time: 4hrs 10mins

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