Free Printable Honor Geometry Review

1.

Given the points A(-3, 7) and B(5, -1), the coordinates of the midpoint of AB are

a)

(4, 4)

b)

(-1, -3)

c)

(1, 3)

d)

(2, 6)

2.

Find the slope of the line passing through the points A(4, 1) and B(-6, -5)

a)

$\dfrac{3}{5}$

b)

$\dfrac{5}{3}$

c)

$-\dfrac{2}{3}$

d)

2

3.

The line y = $-\dfrac{1}{2}$ x + 3 is perpendicular to which line?

a)

y = 2x - 3

b)

y = $\dfrac{1}{2}$ x + 1

c)

y = -2x

d)

y = $-\dfrac{1}{2}$ x + 6

4.

Write the slope-intercept form of the equation of the line passing through the point (5, -4) and parallel to the line y = 2x - 6

a)

y = $\dfrac{1}{2}$ x - 3 - 6

b)

y = -2x + 14

c)

y = 2x - 14

d)

y = 2x + 13

5.

Write the CONVERSE of: If it is raining today, then I need an umbrella

a)

If I need an umbrella, then it is raining today

b)

If it is not raining today, then I do not need an umbrella

c)

If I do not need an umbrella, then it is raining today

d)

If it is raining today, then I need an umbrella

6.

Write the INVERSE of: If I pass all my classes at the semester, then I will earn all my credits

a)

If I do not pass all my classes at the semester, then I will not earn all my credits

b)

If I earn all my credits, then I pass all my classes at the semester

c)

If I do not earn all my credits, then I pass all my classes at the semester

d)

If I pass all my classes at the semester, then I will earn all my credits

7.

Write the CONTRAPOSITIVE of: If I pass all my classes at the semester, then I will earn all my credits

a)

If I do not earn all my credits, then I do not pass all my classes at the semester

b)

If I earn all my credits, then I pass all my classes at the semester

c)

If I do not pass all my classes at the semester, then I will not earn all my credits

d)

If I pass all my classes at the semester, then I will earn all my credits

8.

Write the BICONDITIONAL for: If a figure has 4 sides then it is a quadrilateral and if a figure is a quadrilateral, then it has 4 sides

a)

A figure has 4 sides if and only if it is a quadrilateral

b)

If a figure has 4 sides, then it is a quadrilateral

c)

If a figure is a quadrilateral, then it has 4 sides

d)

A figure is a quadrilateral only if it has 4 sides

9.

Find the distance from D to E, if D(-3, 5) and E(6, 4)

a)

8.2

b)

8.3

c)

9.0

d)

9.1

10.

Which is a labeled diagram for a line segment? Select the sketch that shows two endpoints labeled A and B with no arrows

a)

b)

c)

d)

11.

Which is a labeled diagram for a ray?

a)

b)

c)

d)

12.

Ray PR is represented by which sketch?

a)

b)

c)

d)

13.

Find a counterexample for the statement: If the ground is wet, then it rained.

a)

The lawn sprinklers ran and made the ground wet.

b)

It rained earlier in the day.

c)

A water main broke and flooded the street.

d)

Morning dew made the ground wet.

e)

Snow melted and soaked the ground.

14.

Through any three collinear points, there is:

a)

exactly one plane.

b)

exactly one line.

c)

exactly two lines.

d)

none of these.

15.

Through any two points, there is:

a)

exactly one plane.

b)

exactly one line.

c)

exactly two lines.

d)

none of these.

16.

What symbol is used to indicate that two line segments are perpendicular?

a)

↔

b)

⟂

c)

≡

d)

∥

e)

=

17.

What symbol is used to indicate two angles are congruent?

a)

↔

b)

⟂

c)

≡

d)

∥

e)

=

18.

Which two figures shown are opposite rays?

a)

b)

c)

d)

19.

The first three members of a sequence are shown using dot diagrams for n = 1, n = 2, and n = 3. How many dots are in the fourth member of the sequence?

a)

7

b)

14

c)

16

d)

30

20.

Use the figure at the right. Points Q, P, and R:

a)

determine a plane.

b)

are collinear.

c)

are contained in only plane B.

d)

are noncoplanar points.

21.

Use the figure at the right. What is the intersection of planes A and B?

a)

points Q, P, and R

b)

↔ QR

c)

segment QR

d)

→ QR

22.

What is the measure of the complement of ∠A if it measures $56.5^\circ$ ?

a)

$33.5^\circ$

b)

$33^\circ$

c)

$34.5^\circ$

d)

$123.5^\circ$

23.

If $AB = 16$ and $AC = 32$ , find $BC$ . The diagram shows collinear points A, B, and C in that order.

a)

48

b)

32

c)

16

d)

not enough information is given

24.

If $BN = 18$ and E is the midpoint, then $EN = \ ?$

a)

1

b)

9

c)

18

d)

36

25.

R, S, and T are collinear. S is between R and T. $RS=2x+1$ , $ST=x-3$ , and $RT=16$ . Find $RS$ .

a)

6

b)

13

c)

5

d)

16

26.

A triangle with no two sides equal is:

a)

equiangular

b)

equilateral

c)

isosceles

d)

scalene

27.

Another name for $\angle TRS$ is:

a)

$\angle SRT$

b)

$\angle RTS$

c)

$\angle RST$

d)

$\angle TSR$

28.

If $\angle XYZ = 91^\circ$ , $\triangle XYZ$ is classified:

a)

acute

b)

obtuse

c)

right

d)

complementary

29.

If $m\angle BOC = 24^\circ$ and $m\angle AOB = 28^\circ$ , then what is the measure of $m\angle AOC$ ?

a)

54°

b)

57°

c)

52°

d)

49°

30.

$AB$ bisects $LM$ at $T$ , and $AB \cong TM$ . If $AB = 17$ , $LM = \ ?$

a)

8.5

b)

25.5

c)

17

d)

34

31.

Find the word or words that best complete the sentence. Opposite rays are ? collinear.

a)

sometimes

b)

always

c)

never

d)

not enough information to tell

32.

A pair of skew segments in this cube is:

a)

AB and CD

b)

AB and AE

c)

AB and DH

d)

AB and GH

33.

What is the measure of $\overline{QT}$ if R is between Q and T, $QR = 14$ , and $RT = 5$ .

a)

10

b)

11

c)

19

d)

9

34.

$\angle K$ and $\angle J$ are complementary angles and $m\angle K = 19^\circ$ . Find $m\angle J$ .

a)

71°

b)

161°

c)

90°

d)

9°

35.

Use the figure at the right. Which statement describes ∠3 and ∠5?

a)

adjacent

b)

a linear pair

c)

supplementary

d)

all of these

36.

Use the figure at the right. Which numbered angles appear to be obtuse?

a)

∠5 and ∠6

b)

∠1 and ∠2

c)

∠7 and ∠3

d)

∠3 and ∠4

37.

Use the figure at the right. If m∠FDA is $120^\circ$ and m∠FDG is $45^\circ$ , what is m∠GDA?

a)

$120^\circ$

b)

$75^\circ$

c)

$30^\circ$

d)

$80^\circ$

38.

Use the figure at the right. Which angle is supplementary to ∠BDG?

a)

∠GDA

b)

∠FDB

c)

∠BDC

d)

∠ECD

39.

Use the figure at the right. If ∠3 and ∠5 form a linear pair and m∠3 is $62^\circ$ , what is m∠5?

a)

$62^\circ$

b)

$28^\circ$

c)

$118^\circ$

d)

$90^\circ$

40.

Use the figure at the right. If m∠FDA = $9x - 4$ and m∠3 = $7x + 28$ , what is the value of x?

a)

16

b)

32

c)

107

d)

73

41.

If two points lie in a plane, what must be true about the entire line containing those two points?

a)

The entire line lies in the plane.

b)

The entire line lies outside that plane.

c)

The line contains points that lie outside the plane.

d)

none of these

42.

If ΔXYZ is isosceles and XY = YZ, which statement must be true?

a)

XY = XZ

b)

∠Z ≅ ∠X

c)

XZ ≠ YZ

d)

none of these

43.

The measures of two angles of a triangle are $53^\circ$ and $88^\circ$ . What is the measure of the third angle?

a)

$39^\circ$

b)

$36^\circ$

c)

$131^\circ$

d)

$141^\circ$

44.

In triangle ABC, m∠B = $3x + 10$ and m∠A = $x + 10$ . Find m∠C.

a)

$30^\circ$

b)

$40^\circ$

c)

$45^\circ$

d)

$50^\circ$

45.

The measure of a base angles of an isosceles triangle is $48^\circ$ . What is the measure of the vertex angle B?

a)

$52^\circ$

b)

$96^\circ$

c)

$84^\circ$

d)

$128^\circ$

46.

If ΔABC ≅ ΔGHJ, then ∠J is congruent to which angle of ΔABC?

a)

∠A

b)

∠B

c)

∠C

d)

∠D

47.

If m∠1 = 39° and m∠4 = 106°, then m∠2 = ?

a)

67°

b)

74°

c)

35°

d)

141°

48.

If m∠1 = 35° and m∠2 = 85°, then m∠4 = ?

a)

50°

b)

60°

c)

110°

d)

120°

49.

If m∠4 = (6x)°, m∠3 = (3x)° and m∠1 = (x)°, then m∠3 = ?

a)

20°

b)

40°

c)

60°

d)

120°

50.

What is another name for ∠3?

a)

∠C

b)

∠BAC

c)

∠ADB

d)

∠ABD

51.

If ∠3 ≅ ∠4, which statement is true?

a)

AB ∥ CD

b)

AC ∥ BD

c)

AD ∥ BC

d)

AC ∥ BD and AB ∥ CD

52.

ΔXYZ is a right triangle. Find x.

a)

40°

b)

5°

c)

35°

d)

50°

53.

∠A and ∠B are supplementary, m∠A = 3n and m∠B = 2n + 20. Find m∠B.

a)

32°

b)

84°

c)

96°

d)

148°

54.

If EB bisects ∠AED and m∠DEB = 63°, find m∠AED.

a)

90°

b)

180°

c)

63°

d)

126°

55.

In ΔPQR, what is the side opposite ∠Q?

a)

PQ

b)

PR

c)

QR

d)

∠P

56.

∠1 = 155°. Which statement is false?

a)

m∠2 = 25°

b)

m∠7 = 25°

c)

∠4 and ∠8 are corresponding angles.

d)

∠6 and ∠4 are alternate interior angles.

57.

Which of the following is not true?

a)

∠7 ≅ ∠4

b)

∠2 ≅ ∠6

c)

∠5 ≅ ∠3

d)

∠8 ≅ ∠2

58.

If m∠2 = 35°, find m∠4.

a)

67°

b)

74°

c)

35°

d)

141°

59.

Identify the special angle pair name for ∠1 and ∠5.

a)

consecutive interior

b)

corresponding

c)

vertical

d)

alternate interior

60.

m∠3 = 117°, find m∠8.

a)

27°

b)

63°

c)

105°

d)

117°

61.

Identify the special angle pair name for ∠1 and ∠7.

a)

alternate interior

b)

vertical

c)

corresponding

d)

alternate exterior

62.

If m∠8 = (x + 8)° and m∠6 = (2x − 12)°, then x = ?

a)

28

b)

4

c)

12

d)

20

63.

Find the value of x.

a)

86°

b)

148°

c)

126°

d)

32°

64.

Find the value of x.

a)

21°

b)

55°

c)

84°

d)

86°

65.

In ΔLMN, if m∠L > 90° and m∠M = m∠N, then ΔLMN, is:

a)

acute and isosceles.

b)

right and scalene.

c)

right and isosceles.

d)

obtuse and isosceles.

66.

In ΔPBL, what is the included angle for BL and PL?

a)

∠P

b)

∠B

c)

∠L

d)

PB

67.

In ΔQXR, what angle is opposite XQ?

a)

∠X

b)

∠R

c)

∠Q

d)

XR

68.

Which of the following is not a postulate used to prove the congruence of triangles?

a)

AAS

b)

SSS

c)

AAA

d)

ASA

69.

What are two postulates or theorems that can be used to conclude that △ABO ≅ △CDO?

a)

SSS and SAS

b)

AAS and SSS

c)

ASA and SAS

d)

AAS and ASA

70.

What is a postulate/theorem that can be used to conclude that △ABD ≅ △CBD?

a)

SAS

b)

HL

c)

ASA

d)

SSS

71.

Name one additional pair of corresponding parts that need to be congruent in order to prove that △FIG ≅ △TOM by SAS.

a)

FG ≅ MT

b)

∠F ≅ ∠T

c)

IG ≅ OM

d)

FI ≅ OT

72.

The measure of angle B is ?

a)

99°

b)

79°

c)

89°

d)

101°

73.

Which line/segment is an angle bisector of △ABC?

a)

BD

b)

BE

c)

BF

d)

GF

74.

Which line/segment is an altitude of △ABC?

a)

BD

b)

BE

c)

BF

d)

GF

75.

Which line/segment is a median of △ABC?

a)

BD

b)

BE

c)

BF

d)

GF

76.

Which line/segment is a perpendicular bisector of △ABC?

a)

BD

b)

BE

c)

BF

d)

GF

77.

How many midsegments does a triangle have?

a)

0

b)

1

c)

2

d)

3

78.

KF is the perpendicular bisector of GH. Then KG = ?

a)

GF

b)

FH

c)

KH

d)

KF

79.

In a triangle, a segment connecting the midpoints of two sides of the triangle is called a:

a)

midsegment

b)

median

c)

altitude

d)

angle bisector

80.

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

a)

11

b)

10

c)

12

d)

5

81.

For the triangle shown, ST = 3x + 2 and RQ = 8x − 12. Find the value of x.

a)

2.8

b)

8

c)

10.4

d)

not enough information given to determine answer

82.

Refer to the figure. Choose the correct statement.

a)

10 < x < 13

b)

x < 10

c)

x = 13

d)

x > 13

83.

Determine which set of numbers can be the measures of the sides of a triangle.

a)

2, 6, 3

b)

3, 10, 13

c)

4, 6, 1

d)

5.1, 7, 2.3

84.

Which of the following could NOT be the lengths of the sides of a triangle?

a)

1, 2, 3

b)

4, 4, 4

c)

1.4, 4, 3

d)

2, 3, 2

85.

Two sides of a triangle are 8 and 11. What are the possible measures of the third side?

a)

between 8 and 11

b)

between 3 and 8

c)

between 3 and 11

d)

between 3 and 19

86.

In ΔXYZ, XY = 7, YZ = 10, and XZ = 8. Which of the following is true?

a)

m∠X < m∠Y < m∠Z

b)

m∠Y < m∠X < m∠Z

c)

m∠Z < m∠Y < m∠X

d)

m∠Z < m∠X < m∠Y

87.

If m∠E > m∠H, then:

a)

EF > HK

b)

m∠K > m∠G

c)

FG > JK

d)

JK > FG

88.

If GF < KJ, then:

a)

m∠E > m∠H

b)

m∠J > m∠F

c)

m∠E < m∠H

d)

m∠G < m∠K

89.

The longest side of ΔXYZ is:

a)

XY

b)

YZ

c)

XZ

d)

YX

90.

Find m∠C.

a)

59°

b)

60°

c)

61°

d)

62°

Honor Geometry Review

Total questions: 90

Worksheet time: 45mins

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