Download more similar polygons

A#8-3
NAME____________________________________DATE__________________PER._______
MORE SIMILAR POLYGONS
5 POINTS EACH
1. a)A  __________
ABCD  WXYZ below. Use these figures to answer the questions.
b) B  __________
A
B
c)C  __________
W
X
d)D  __________
e)
AB
2. YES

or
ZY

NO
Z
C
D
BC
Y
Are the two triangles shown below similar?
F
C
Explain:
32
12 in
8 in
110 38
A 6 in
B
18 in
12 in
110
D
E
9 in
3. __________
What is the scale factor of FDE to CAB in problem #2?
4. __________
What is the ratio of the perimeter of FDE to CAB?
5. __________
How does the scale factor and ratio of the perimeters of FDE to
CAB compare?
For each of the following, each pair of polygons is similar. Find the values of ‘x’ and ‘y’.
F
6. x = __________
A
y = __________
15
x+2
D
B
8
y-3
98
y = __________
G
87
5
10
C
H
7. x = __________
G
E
H
I
M
(y + 30)
J
L
(x – 40)
N
60
O
5 POINTS EACH
A#8-3 PG. 2
K
8. x = __________
6
y = __________
R
y
12
4
30
J
L
y = __________
Q
S
T
D
9. x = __________
12 cm
10 cm
G
12 cm
12 + x
20 cm
E
S
A
y
A
10. x = __________
T
y = __________
x
80
3 in
L
C
6 in
10 in
6 in
y
N
E
x
A
11. x = __________
D
y = __________
9
3
y
2
M
x+4
C
I
4
S
Solve each of the following.
12. Measures (6):
The sum of the measures of the interior angles of a hexagon is 720.
The measures of the angles of a particular hexagon are in the ratio
4:5:5:8:9:9. What are the measure of these angles?
13. Measures (2):
The ratio of the measure of two complementary angles is 4:5. What are
the measures of the angles?
A#8-3 PG. 3
5 POINTS EACH
REVIEW PROBLEMS
Solve for ‘x’ in each of the following.
14. x = __________
x  6 5x

3
9
15. x = __________
2 x  7 12  7 x

9
6
Set up a proportion and solve.
16. __________
For field trips, the Brighton School requires that the teacher to student
ratio be at least 2:15. If there are 45 students on a field trip, what is the
least number of teachers needed to supervise?
17. __________
Recall that the slope of a line is a ratio of the rise to the run. If a line
3
has a slope of , and you have chosen two points on the line that have
5
a rise of 15, what is the run?
TAKS PRACTICE
Find the correct answer for each of the following. Clearly circle/bubble in your answer
where appropriate. Work must be shown in order to receive credit.
18. Which of the following statements is
true?
19. What is the measure of E in the figure
below?
77
A. If two figures are similar, then
they are congruent.
E (6x+8)
B. If two figures are congruent, then
they are similar.
C. If two figures are similar, then
their corresponding sides have
the same length.
D. Not Here
H
F
A.
B.
C.
D.
(9x-10)
19
90
122
161
G
5 POINTS EACH
A#8-3 PG. 4
20. The angles of a triangle are in the ratio
of 3:4:5. What is the degree measure
of the smallest angle of the triangle?
Record your answer and fill in the
bubbles on the grid below. Be sure to
use the correct place value.
.
0
1
2
3
4
5
6
7
8
9
0
1
2
3
4
5
6
7
8
9
0
1
2
3
4
5
6
7
8
9
0
1
2
3
4
5
6
7
8
9
0
1
2
3
4
5
6
7
8
9
0
1
2
3
4
5
6
7
8
9
0
1
2
3
4
5
6
7
8
9