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Ch. 5-8 Review

Total questions: 37

Worksheet time: 1hrs 17mins

Name
Class
Date
1.

Always, Sometimes, or Never?

If the vertex angles of two isosceles triangles are congruent, then the triangles are similar.

a)

Always

b)

Sometimes

c)

Never

2.

Always, Sometimes, or Never?

If one of the exterior angles of an isosceles triangle is 120°, then the triangle is equilateral.

a)

Always

b)

Sometimes

c)

Never

3.

Always, Sometimes, or Never?

The diagonals of a trapezoid bisect each other.

a)

Always

b)

Sometimes

c)

Never

4.
What word describes line Z?
a)
Transversal
b)
Parallel
c)
Corresponding
d)
Same side interior
5.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
6.
State the angle relationship and find the measure of angle 1
a)
Alternate Interior
49
b)
Same Side Interior
131
c)
Same Side Interior
49
d)
Alternate Interior
131
7.

Find the missing angle

a)

86

b)

76

c)

77

d)

36

8.

Find the missing angle

a)

3

b)

4

c)

2

d)

1

9.

Find x.

a)

90

b)

20

c)

70

d)

60

10.

In ∆SIE, L and D are the midpoints of SI and IE respectively. If SE = 14, then what is the value of LD?

a)

LD = 28

b)

LD = 7

c)

LD = 14

d)

LD = 21

11.
What is the measure of angle A in the triangle?
a)
116*
b)
25*
c)
62*
d)
54*
12.

If 4x=7y4x=7y , then xy\frac{x}{y}

a)

74\frac{7}{4}

b)

3.52\frac{3.5}{2}

c)

47\frac{4}{7}

d)

23.5\frac{2}{3.5}

13.
What is the measure of ONE interior angle in a regular pentagon (5-sides)?
a)
90°
b)
108°
c)
120°
d)
180°
14.
Find the number of sides of a polygon with one exterior angle measuring 6⁰.
a)
60
b)
30
c)
20
d)
10
15.

Is there enough information to determine that this quadrilateral is a parallelogram?

a)

yes, all opposite sides are congruent

b)

yes, opposite angles are congruent

c)

yes, opposite sides are parallel

d)

yes, consecutive interior angles are supplementary

16.

State which method we can use to show that the quadrilateral is a parallelogram.

a)

Both pairs of opposite angles are congruent.

b)

Both pairs of opposite sides are congruent.

c)

The diagonals bisect each other.

d)

Both pairs of opposite sides are parallel.

17.
What is the SUM of the INTERIOR angles of a 12-gon?
a)
3600
b)
1800
c)
2160
d)
12
18.
A polygon has a sum of interior angle measures equal to 1620°. How many sides does the polygon have?
a)
9
b)
11
c)
13
d)
7
19.
The figure is a parallelogram.  
Solve for x.  
a)
7
b)
2
c)
0
d)
4
20.
To find the height of a very tall pine tree, you place a mirror on the ground and stand where you can see the top of the pine tree.  How tall is the tree?
a)
144 feet
b)
72 feet
c)
36 feet
21.
a)
20
b)
30
c)
25
d)
23
22.

Find the missing length.

a)

25

b)

15

c)

6

d)

16

23.
What value of x would make line m || line n?
a)
42
b)
138
24.
Which value of x will show that line m is parallel to line r?
a)
33
b)
25
c)
24
d)
20
25.
Which of the following relationship proves that j is parallel to k?
a)
∠3 and ∠4 are supplementary
b)
∠4 and ∠5 are supplementary
c)
∠1 ≅ ∠3
d)
∠2 ≅ ∠3
26.
Which condition will prove that line l is parallel to line m?
a)
∠1 ≅ ∠3
b)
∠3 ≅ ∠5
c)
∠1 ≅ ∠6
d)
∠6 ≅ ∠5
27.
Which is NOT a property of a parallelogram?
a)
Diagonals bisect each other
b)
Diagonals are congruent
c)
Both pairs of opposite sides are parallel
d)
Both pairs of opposite angles are congruent
28.
Is this quadrilateral a parallelogram?
a)
Yes. Diagonals bisect each other
b)
no
c)
Yes. Opposite angles are congruent
d)
Yes. Opposite sides are congruent
29.
Figure A can best be classified as a...
a)
Rectangle
b)
Square
c)
Rhombus
30.
Figure B can best be classified as a...
a)
Rectangle
b)
Square
c)
Rhombus
31.
Figure C can best be classified as a...
a)
Rectangle
b)
Square
c)
Rhombus
32.
What is this shape?
a)
Rhombus
b)
Rectangle
c)
Kite
d)
Square
33.
Which shapes have diagonals that are perpendicular?
a)
Square & Rectangle
b)
Rectangle & Parallelogram
c)
Rhombus & Square
d)
Isosceles Trapezoid & Square
34.

Find the missing length indicated.

a)

5

b)

54

c)

3

d)

35

35.
Find the value of x.
a)
x = 4.5
b)
x = 9
c)
x = 30
d)
x = 3
36.
Find missing side
a)
5
b)
7
c)
9
d)
11
37.
What is the measure of angle X?
a)
60
b)
40
c)
140
d)
100

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