Free Printable Theorems 2 Review (S)

1.

What type of angle pair is ∠1 and ∠5?

a)

alternate interior angles

b)

corresponding angles

c)

alternate exterior angles

d)

vertical angels.

2.

What type of angle pair is ∠1 and ∠5?

a)

alternate interior angles

b)

corresponding angles

c)

alternate exterior angles

d)

vertical angels.

3.

What type of angle pair is ∠1 and ∠3?

a)

alternate interior angles

b)

linear pair

c)

corresponding angles

d)

vertical angles

4.

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

5.

Name the corresponding angle to angle 4.

a)

angle 8

b)

angle 6

c)

angle 2

d)

angle 5

6.

Name the alternate interior angle to angle 3.

a)

4

b)

5

c)

6

d)

8

7.

Name the angle relationship.

a)

Alternate Interior

b)

Alternate Exterior

c)

Corresponding

d)

Vertical Angles

8.

Name the angle relationship.

a)

Alternate Interior

b)

Alternate Exterior

c)

Corresponding

d)

Vertical Angles

9.

Angle C and P are...

a)

Alternate Interior Angles

b)

same side Interior Angles

c)

Corresponding Angles

d)

Alternate Exterior Angles

10.

Angle S and A are...

a)

Alternate Interior Angles

b)

same side Interior Angles

c)

Corresponding Angles

d)

Alternate Exterior Angles

11.

<1 and <3 are called...

a)

Alternate Interior Angles

b)

Corresponding Angles

c)

Same Side Interior Angles

d)

Vertical Angles

12.

<2 and <8 are called...

a)

Alternate Interior Angles

b)

Corresponding Angles

c)

Same Side Interior Angles

d)

Vertical Angles

13.

<6 and <1 are called...

a)

Alternate Interior Angles

b)

Corresponding Angles

c)

Same Side Interior Angles

d)

Vertical Angles

14.

<4 and <1 are called...

a)

Alternate Interior Angles

b)

Corresponding Angles

c)

Same Side Interior Angles

d)

Vertical Angles

15.

What relationship do <1 and <3 have...

a)

Congruent (equal)

b)

Supplementary (adds up to 180)

c)

Complementary (adds up to 90)

d)

No Relationship

16.

What relationship do <5 and <7 have...

a)

Congruent (equal)

b)

Supplementary (adds up to 180)

c)

Complementary (adds up to 90)

d)

No Relationship

17.

What relationship do <5 and <3 have...

a)

Congruent (equal)

b)

Supplementary (add up to 180)

c)

Complementary (add up to 90)

d)

No Relationship

18.

Select the two angles that are alternate interior with angle 7:

a)

∠2

b)

∠3

c)

∠5

d)

∠12

19.

∠1 and ∠9 are classified as:

a)

Vertical Angles

b)

Corresponding Angles

c)

Alternate-Interior Angles

d)

Linear Pair

20.

If angle 1 has a measure of 135^o, then m∠2 =

a)

90^o

b)

135^o

c)

45^o

d)

65^o

21.

What two angles are vertical angles?

a)

Angle r and angle s

b)

Angle m and angle n

c)

Angle p and angle q

d)

Angle q and angle r

22.

If m∠6 = 50^o then m∠4 =

a)

50^o

b)

90^o

c)

130^o

d)

360^o

23.

Angle 2 is same-side interior with angle:

a)

8

b)

11

c)

5

d)

3

24.

Select the two pairs of angles that represent a linear pair:

a)

Angle 9 and Angle 14

b)

Angle 3 and Angle 4

c)

Angle 12 and Angle 16

d)

Angle 6 and Angle 8

25.

If m∠n = 113^o, then m∠s =

a)

180^o

b)

90^o

c)

67^o

d)

113^o

26.

What two angles are alternate exterior with angle 4?

a)

∠16

b)

∠15

c)

∠9

d)

∠5

27.

What two angles are corresponding with angle 10?

a)

∠2

b)

∠7

c)

∠9

d)

∠12

28.

What is m∠x?

a)

76^o

b)

104^o

c)

90^o

d)

100^o

29.

What is the m∠y?

a)

76^o

b)

14^o

c)

104^o

d)

180^o

30.

What two angles are same-side interior angles?

a)

∠1

b)

∠3

c)

∠5

d)

∠8

31.

What two angles are alternate-interior angles?

a)

∠p

b)

∠q

c)

∠t

d)

∠n

32.

Is DE 1/2 the length of BC?

a)

Yes

b)

No

33.

Name a midsegment of ⌂ABC

a)

segment AC

b)

segment DE

c)

segment AB

d)

segment BC

34.

Name a segment parallel to segment AC

a)

segment DE

b)

segment DB

c)

segment AC

d)

segment BC

35.

Name a segment that has the same length as segment BD

a)

segment BE

b)

segment DE

c)

segment AD

d)

segment AC

36.

name a segment that has half the length of segment AC

a)

segment AD

b)

segment BE

c)

segment DE

d)

segment BC

37.

QR is a midsegment of triangle WUV. What is the length of segment QR?

a)

4

b)

8

c)

16

d)

32

38.

What segment is parallel to EF?

a)

Segment PM

b)

Segment MN

c)

Segment NP

d)

Segment FG

39.

QR is a midsegment of triangle WXY. What is the length of segment WY?

a)

3

b)

6

c)

9

d)

12

40.

QR is a midsegment of triangle FGH. Solve for the value of x?

a)

5.5

b)

11

c)

-5.5

d)

-11

41.

QR is a midsegment of triangle FGH. Solve for the value of x?

a)

5.5

b)

11

c)

-5.5

d)

-11

42.

QR is a midsegment of triangle BCD. Solve for the value of x.

a)

11

b)

18

c)

9

d)

-7

43.

TS is a midsegment of triangle GHI. Solve for the value of x.

a)

4

b)

6

c)

8

d)

10

44.

find FE

a)

16

b)

32

c)

11

d)

26

45.

Find GF

a)

18.6

b)

11.1

c)

12.6

d)

14

46.

Find LJ

a)

6

b)

5

c)

3

d)

9

47.

Find NM

a)

12

b)

17

c)

31

d)

20

48.

a)

11

b)

22

c)

5.5

d)

3.67

49.

Which of the following describes a median of a triangle?

a)

A. A middle of the triangle.

b)

B. A segment with endpoints at the vertex and midpoint of the opposite side.

c)

C. A segment that connects two midpoints of two sides.

d)

D. A segment that connects the vertex and the opposite side at 90 degrees.

50.

Given: XZ is the median, WY=14. Find XY.

a)

XY = 14

b)

XY = 7

c)

XY = 10

d)

XY = 28

51.

The centroid is the point of concurrency of the 3 ____ of a triangle.

a)

Medians

b)

Midsegments

c)

Perpendicular Bisectors

d)

Angle Bisectos

52.

CF, BE, and AD are the medians of the triangle. If BF =10, find AF.

a)

20

b)

10

c)

5

d)

Not Enough Information

53.

If G is the centroid of triangle ABC and GF= 4. Find the length of GC.

a)

4

b)

8

c)

12

d)

Not Enough Information

54.

If G is the centroid of triangle ABC and BE= 18. Find the length of BG.

a)

6

b)

12

c)

18

d)

Not Enough Information

55.

If G is the centroid of triangle ABC and GE= 7. Find the length of BE.

a)

7

b)

14

c)

21

d)

Not Enough Informaion

56.

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

a)

45°

b)

90°

c)

180°

d)

360°

57.

Find the measure of the missing angle.

a)

47

b)

57

c)

53

d)

133

58.

What is the measure of the missing angle?

a)

82

b)

43

c)

55

d)

180

59.

Solve for x.

a)

5

b)

12

c)

-7

d)

-6

60.

Solve for x.

a)

16

b)

11

c)

50

d)

6

61.

Find the missing length.

a)

21

b)

18

c)

16

d)

24

62.

Find the missing length.

a)

6

b)

8

c)

5

d)

None of these

63.

What is the correct set-up for this problem?

a)

$\frac{5}{2}=\frac{x}{6}$

b)

$\frac{5}{3}=\frac{x}{6}$

64.

Find the missing length.

a)

6

b)

8

c)

5

d)

None of these

65.

Solve for x.

a)

10

b)

5

c)

7

d)

4

66.

The Triangle Proportionality Theorem states that If a line is parallel to one side of a triangle and intersects the other two sides, then $\frac{AB}{BC\ }=\frac{AE}{?}$ What is the question mark?

a)

BE

b)

CD

c)

AD

d)

ED

67.

Which proportion would be correct in order to solve for x.

a)

$\frac{x}{10}=\frac{15}{30}$

b)

$\frac{x}{10}=\frac{45}{30}$

c)

$\frac{x}{10}=\frac{15}{45}$

d)

$\frac{x}{10}=\frac{30}{15}$

68.

Find the missing length.

a)

35

b)

28

c)

42

d)

13

69.

Select the proportion that shows the Triangle Proportionality Theorem.

a)

$\frac{6}{27}=\frac{7}{x}$

b)

$\frac{6}{21}=\frac{7}{x}$

c)

$\frac{7}{6}=\frac{x}{27}$

70.

Find x.

a)

54/7 or 7.41

b)

56/3 or 18.67

c)

11

d)

21/2 or 10.5

71.

Select the correct set up to solve for x.

a)

$\frac{14}{3x+5}=\frac{8}{20}$

b)

$\frac{14}{3x+5}=\frac{12}{20}$

72.

Name a segment parallel to segment AC

a)

segment DE

b)

segment DB

c)

segment AC

d)

segment BC

73.

Find the value of x

a)

6.75

b)

48

c)

65

d)

53

74.

$\frac{14}{3x+5}=\frac{8}{20}$ Solve for x.

a)

10.0

b)

11.5

c)

13.3

d)

24

75.

Solve the proportion:

a)

15

b)

5

c)

10

d)

12

76.

Solve for x (Remember to distribute for these types of questions!)

a)

1/2 or 1.5

b)

25/8 or 3.125

c)

11

d)

53/4 or 13.25

77.

Solve the proportion

a)

x = 3

b)

x = -3

78.

Solve:

a)

2

b)

9

c)

35

d)

7

79.

Solve:

a)

1

b)

4

c)

biscuits

d)

5

80.

$3+x=2x-2$

a)

$x=-8$

b)

$x=5$

c)

$x=-4$

d)

$x=-5$

81.

$6n+8=1+4n-1$

a)

$n=10$

b)

$n=9$

c)

$n=-16$

d)

$n=-4$

82.

$3+6n=9+3n$

a)

$n=-10$

b)

$hamburgers$

c)

$n=0$

d)

$n=2$

83.

$-9-4x=1-6x$

a)

$x=-13$

b)

$x=-15$

c)

$x=5$

d)

$x=-16$

84.

$7n+12=3n+8n$

a)

$n=3$

b)

$n=5$

c)

$n=4$

d)

$hot\ dogs$

85.

What is the relationship in the Triangle Midsegment Theorem?

a)

2 (midsegment) = side

b)

2 (side) = midsegment

c)

side = midsegment

86.

The median of a triangle

a)

splits the slide into two equal pieces

b)

is twice as long as the side

c)

splits the side into three equal pieces

d)

went to the Dead concert in 1995 and used Geometry to navigate

87.

The median (inside) of a triangle

a)

can be split into three equal pieces

b)

bananas

c)

is equal to the side

d)

is twice as big as the side

88.

Select all true statements.

The midsegment...

a)

connects a vertex to a midpoint of the opposite side

b)

is parallel to one side of the triangle

c)

is half the length of the parallel side

d)

is equal to the side of the parallel side

Theorems 2 Review (S)

Total questions: 88

Worksheet time: 2hrs 29mins

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