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Math 8 – Assignment #9
Name
Chapter 8 – Geometry
Date
1.
Draw a 115o angle.
2.
Find the measure of the angle below.
3.
Find the complement for a 72o angle. 4.
Find the supplement for a 103o angle.
Find the measure of each missing angle. Pictures are not drawn to scale.
5.
6.
?
?
63°
25°
?
?
Find the value of x for each diagram. Pictures are not drawn to scale.
7.
8.
(x + 20)o
(2x – 5)°
(5x + 15)°
(3x + 3)°
9.
10.
(4x + 20)°
(2x + 10)°
(x + 25)°
(3x + 5)°
Use the figure to the right to answer questions #11 – 15.
11.
Name a pair of corresponding angles.
12.
Name a pair of alternate interior angels.
13.
Which three angles are congruent to  G ?
14.
If m B is 130º, what is the measure of  A ?
15.
If m A is 62º, what is the measure of  H ?
16.
Classify a triangle with angle measures of 26o, 54o and 100o.
17.
Classify a triangle with side lengths of 3 feet, 5 feet and 6 feet.
18.
Name the four quadrilaterals that have two pairs of parallel sides.
Read each statement carefully and write true or false on the line to the right.
19.
Some kites are squares.
19. ______________
20.
No trapezoids are parallelograms.
20. ______________
21.
Some parallelograms are quadrilaterals.
21. ______________
22.
A parallelogram with one right angle is a rectangle.
22. ______________
23.
A rhombus can have just one right angle.
23. ______________
24.
Some rectangles are not parallelograms.
24. ______________
Draw two uppercase letters of the alphabet that fits the criteria below.
25.
Horizontal line symmetry
26.
Vertical line symmetry
27.
Use the formula (n – 2)180o to find the sum of the interior angles of a nonagon.
Find the value of x for each diagram. Picutes are not drawn to scale.
28.
o
(2x)
(2x)o
30.
29.
(2x + 5)o
(2x + 15)o
(4x + 15)o
(2x)o
(x + 5)o
(4x – 10)o
(5x + 10)o
Graph the quadrilateral A(1, 2), B(2, 5), C(5, 4) and D(3, 0) below and then graph its
reflection about the y-axis.
y
5
4
3
2
1
-5 -4 -3 -2 -1
-1
1
2
3
4
5
x
-2
-3
-4
-5
31.
Using the grid above, reflect the image from #30 about the x-axis.
32.
Triangle RST has the vertices R (2, 5), S (0, –2) and T (–3, –1). Find the vertices of its
image after the translation (x, y)  (x + 2, y + 3).
33.
Triangle LMN has the vertices L (3, 0), M (–2, 5) and N (0, –1). Find the vertices of
its image after the translation (x, y)  (x – 1, y – 4).
To rotate a point 90o clockwise, switch the coordinates and then multiply the new ycoordinate by –1. Use this rule to calculate the image of the following points.
34.
A (2, 5)
35.
B (4, –1)
C (–3, –2)
36.
To rotate a point 90o counterclockwise, switch the coordinates and then multiply the
new x-coordinate by –1. Use this rule to calculate the image of the following points.
37.
R (2, 5)
38.
S (4, –1)
T (–3, –2)
39.
To rotate a point 180o, multiply both coordinates by –1. Use this rule to calculate the
image of the following points.
40.
X (2, 5)
41.
Y (4, –1)
Z (–3, –2)
42.
Find x in each pair of similar figures by writing and solving a proportion.
43. ABC ~ XYZ
44. ABC ~ XYZ
A
X
Y
15
9
40
x
A
20
50
Z
Z
x
Y
X
C
B
C
45. ABCD ~ WXYZ
46. ABCD ~ WXYZ
W
D
30
22
X
A
A
x
15
C
B
40
B
Y
6
B
14
8
D
Z
Z
Y
C
X
x
W