Free Printable Honors Fall Final Review

1.

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

a)

RS ≃ VS

b)

∠RTS ≃ ∠VUS

c)

∠TSR ≅ ∠USV

d)

TS ≃ US

2.

What is the value of the exterior angle?°

a)

16°

b)

70°

c)

25°

d)

45°

3.

Paul drew a triangle on a map of Texas. He used Houston (H), San Antonio (S), and Dallas (D) as vertices. If the angle formed by segments HS and SD is the largest angle of the triangle, which distance is greatest?

a)

Houston to San Antonio

b)

San Antonio to Dallas

c)

Dallas to Houston

d)

All of the distances are the same

4.

Which of these measures could represent sides of a triangle?

a)

3, 6, 10

b)

2.5, 10.25, 15.25

c)

7, 8, 15

d)

12.2, 13.7, 20.1

5.

One leg of an isosceles triangle has a length of 13 cm. The base of the triangle must be greater than

___, but less than ___.

a)

0, 26

b)

13, 26

c)

0, 13

d)

1, 13

6.

In the diagram, which of the following statements are false?

a)

∠1 and ∠4 are vertical angles

b)

∠4 and ∠5 are alternate interior angles

c)

∠1 and ∠8 are alternate interior angles

d)

∠2 and ∠6 are corresponding angles

7.

Find the Midpoint M of AB if A is (-3, 3) and B is (-8, -5).

a)

$\left(-\frac{11}{2},\ -1\right)$

b)

$\left(-\frac{5}{2},\ -1\right)$

c)

$\left(-13,\ -13\right)$

d)

$\left(2,\ 11\right)$

8.

Given B is the midpoint of AC, find A if B is (-10, 4) and C is (-6, 2).

a)

(-14, 6)

b)

(-2, 0)

c)

(-8, 3)

d)

(-12, 5)

9.

CD bisects AB at D. If $AB=5x-4$ and $DB=x+1$ , find AD.

a)

2

b)

3

c)

$-\frac{5}{4}$

d)

$-\frac{1}{4}$

10.

$m\angle PQR=\left(5x-3\right)\degree,\ m\angle SQR=\left(2x-1\right)\degree,$ and $\ m\angle PQR=87\degree$ . Find $m\angle SQR$

a)

$35\degree$

b)

$18\degree$

c)

$13\degree$

d)

$25\degree$

11.

Find the measure of an angle if its supplement is five times as large as the angle.

a)

$30\degree$

b)

$150\degree$

c)

$45\degree$

d)

$36\degree$

12.

What is a ray that divides an angle into two congruent angles?

a)

Segment Bisector

b)

Angle Bisector

c)

Congruent Angles

d)

Vertical Angles

13.

If $m\angle1=55\degree$ , find $\angle7$

a)

$125\degree$

b)

$55\degree$

14.

Given that p is parallel to q, find x.

a)

11

b)

74

c)

$\frac{33}{2}$

d)

148

15.

Complete the congruency statement: $\Delta ABC\cong\Delta_{ }$ _____

a)

$\Delta CDA$

b)

$\Delta CBA$

c)

$\Delta ACB$

d)

$\Delta BCA$

16.

Order the angles from largest to smallest.

a)

$\angle T,\ \angle S,\ \angle R$

b)

$\angle R,\ \angle S,\ \angle T$

c)

$\angle R,\ \angle T,\ \angle S$

d)

$\angle S,\ \angle R,\ \angle T$

17.

Given $\angle R\cong\angle U$ , find x.

a)

4 & -4

b)

4

c)

-8.75

d)

16

18.

What is the slope and y-intercept of the line perpendicular to $-2y+8x=16x+4$ through the point (0, -2)

a)

$m=-4,b=-2$

b)

$m=4,b=2$

c)

$m=\frac{1}{4},b=-2$

d)

$m=-\frac{1}{4},\ b=-2$

19.

Two lines intersect at a _____.

a)

angle

b)

point

c)

line

d)

intersection

20.

Classify the triangle.

a)

Equilateral

b)

Isosceles

c)

Scalene

d)

Obtuse

21.

Find the measure of the indicated angle.

a)

26°

b)

36°

c)

85°

d)

144°

22.

Solve for x.

a)

16

b)

11

c)

50

d)

6

23.

What is the value of x?

a)

51

b)

49

c)

78

24.

Find the value of x.

a)

60

b)

20

c)

15

d)

40

25.

These angles are...

a)

Complementary

b)

Supplementary

c)

Neither

26.

Find the value of x.

a)

14

b)

60

c)

35

d)

180

27.

Solve for x

a)

20

b)

25

c)

120

d)

180

28.

What is the relationship of the Angles

a)

Alternate Interior

b)

Alternate Exterior

c)

Corresponding

d)

Same Side Interior

29.

What is the angle relationship?

a)

Alternate Interior

b)

Alternate Exterior

c)

Corresponding

d)

Same Side Interior

30.

What is the measure of ∠3?

a)

55

b)

155

c)

45

d)

135

31.

a)

A

b)

B

c)

C

d)

D

32.

What are complementary angles?

a)

Angles that add up to 180°

b)

Angles that add up to 90°

c)

Angles that are equal to each other

d)

Angles that are opposite of each other when lines intersect.

33.

What are supplementary angles?

a)

Angles that add up to 180°

b)

Angles that add up to 90°

c)

Angles that are equal to each other

d)

Angles that are opposite of each other when lines intersect

34.

Which are pairs of vertical angles?

a)

∠COB & ∠COA

b)

∠AOD & ∠AOC

c)

∠COB & ∠AOD

d)

∠BOD & ∠AOD

35.

Which are pairs of adjacent angles?

a)

∠COB & ∠DOA

b)

∠AOD & ∠AOC

c)

∠COB & ∠AOD

d)

∠BOD & ∠AOC

36.

Identify the hypothesis of this conditional:
If Sally goes to the park, then she will fall off the swing.

a)

Sally goes to the park.

b)

Sally will fall off the swing.

c)

Parks don't have swings that Sally goes to.

d)

If Sally falls off the swing, she goes to the park.

37.

Identify the conclusion to the following:
If Spencer wins his soccer game, then he will be happy.

a)

Spencer is happy

b)

Spencer is not happy

c)

Spencer lost his game.

d)

Spencer is not happy if he does not win his soccer game.

38.

Which is a counterexample for the following conditional:
If an electronic device has a screen then it is a television.

a)

television

b)

cell phone

c)

computer mouse

d)

keyboard

39.

What is the distance between (-4, 2) and (-4, -4)

a)

1

b)

6

c)

(-4, -1)

d)

(-4, -2)

40.

What is the distance between (2, -9) and (-1, 4)

a)

(.5, -2.5)

b)

(0, -5)

c)

21.9

d)

13.3

41.

Find the midpoint of (8,-4) and (6,10).

a)

(2,6)

b)

(14,6)

c)

(1,-7)

d)

(7,3)

42.

Slopes of parallel lines are...

a)

opposite reciprocals.

b)

opposites.

c)

identical.

d)

always 7.

43.

Slopes of perpendicular lines are...

a)

opposite reciprocals.

b)

opposites.

c)

identical.

d)

always 7.

44.

y = 3x +2
y = 3x - 3
These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

d)

The same line

45.

y = -2/3x + 2
y = 3/2x + 9
These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

46.

What is the slope of a line parallel to the line whose equation is: -2x + y = - 7?

a)

-2

b)

1/2

c)

-1/2

d)

2

47.

A line is perpendicular to y = 2x - 7.
What is the slope of this line?

a)

-2

b)

1/2

c)

-1/2

d)

2

48.

Angle 1 = 27^oFind the measure of angle 4

a)

27^o

b)

153^o

c)

63^o

d)

90^o

49.

What is the value of x?

a)

22

b)

26

c)

24

d)

23

50.

What is the value of x?

a)

60

b)

26

c)

14

d)

10

51.

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

52.

Which segment is congruent to EF?

a)

HG

b)

HF

c)

GF

d)

IE

53.

Use the congruency statement to answer the following:
<F = ___

a)

<H

b)

<I

c)

<G

d)

not congruent to another angle

54.

Are these triangles congruent? If so, state the rule which you used to determine congruence.

a)

Yes by ASA

b)

Yes by AAS

c)

Yes by SSA

d)

Not congruent

55.

Are these triangles congruent? If so, state the rule which you used to determine congruence.

a)

SSA

b)

AAS

c)

ASA

d)

Not necessarily congruent

56.

Are these triangles congruent? If so, state the rule which you used to determine congruence.

a)

SAS

b)

SSS

c)

Both SSS and SAS

d)

Not necessarily congruent

57.

Fill in the missing proofs.

a)

Transitive Property, SAS(Side-Angle-Side)

b)

Reflexive Property, SAS(Side-Angle-Side)

c)

Reflexive Property, Vertical Angles Thm.

d)

Transitive Property, SSS(Side-Side-Side)

58.

Congruent by

a)

SSS

b)

SAS

c)

ASA

d)

AAS

59.

Congruent by

a)

SSS

b)

SAS

c)

ASA

d)

AAS

60.

Congruent by

a)

SSS

b)

SAS

c)

ASA

d)

AAS

61.

How are these two triangles congruent?

a)

AAS

b)

ASA

c)

Not enough information

d)

SAS

62.

What is the "statement" for step 2 of the proof?

a)

∆BAC≅∆DAC

b)

BC=DC

c)

∡B≅∡D

d)

∡BAC≅∡DAC

63.

What is the "statement" for step 3 of the proof?

a)

∡EDA≅∡DCB

b)

∡AED≅∡BEC

c)

DE=CE

d)

∡AED≅∡CED

64.

Fill in the two missing reasons.

a)

Reflexive Property ; ASA

b)

Reflexive Property ; SAS

c)

Symmetric Property ; ASA

d)

Symmetric Property ; SAS

65.

Find the measure of the indicated angle.

a)

89

b)

211

c)

119

d)

81

66.

Find the measure of angle 1

a)

54

b)

108

c)

72

d)

36

67.

Find the measure of the angle indicated.

a)

139°

b)

66°

c)

138°

d)

116°

68.

The Triangle Sum Theorem states that the sum of all angles in a triangle is ______.

a)

45°

b)

90°

c)

180°

d)

360°

69.

Solve for x.

a)

16

b)

11

c)

50

d)

6

70.

What is the measure of angle b?

a)

36^o

b)

56^o

c)

63^o

d)

117^o

71.

Solve for x.

a)

6

b)

8

c)

15

d)

13

72.

If ∆LMK ≅ ∆LMT, then
∠K ≅ ____

a)

T

b)

∠T

c)

∠M

d)

∠L

73.

Find the length of segment DE.

a)

DE = 18

b)

DE = 8

c)

DE = 3

d)

DE = 28

74.

$\overline{AB}$ 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)

$16\sqrt{2}$

75.

"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

76.

"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

77.

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

78.

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

79.

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

80.

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

81.

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)

82.

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)

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

83.

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

84.

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)

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

Honors Fall Final Review

Total questions: 84

Worksheet time: 2hrs 51mins

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