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Independent Practice: MORE SIMILAR POLYGONS
NAME:
DATE:
PERIOD:
For # 1 – 10, refer to quadrilateral ABCD and EFGH..
H
15 cm
E
?cm
? cm
D
12cm
A
7cm
4cm
B
C
F
6cm
18 cm
G
1. ____________
What is the scale factor from quadrilateral ABCD to EFGH?
2. ____________
What is the common ratio from quadrilateral ABCD to EFGH?
3. ____________
What is the scale factor from quadrilateral EFGH to ABCD?
4. ____________
What is the common ratio from quadrilateral EFGH to ABCD?
5. AD : ________
What is the corresponding side of AD?
6. AD =_______
What is the length of side AD?
7. GH : ________
What is the corresponding side of GH?
8. GH =_______
What is the length of GH?
9. ____________
What is the ratio of perimeters from quadrilateral ABCD to EFGH?
10. ____________
How does the your answer to question # 9 compare to your answer to
_______________
question # 2?
Geometry Unit 5 - Similarity
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Independent Practice: MORE SIMILAR POLYGONS
For # 11 – 14, refer to triangles CDE and TUV.
11. YES
or
NO
Are the two triangles shown below similar?
Explain: ________________________________________________
12. ____________
What is the common ratio of CDE to TUV?
13. ____________
What is the ratio of the perimeter of CDE to TUV?
14.
How does the common ratio and ratio of the perimeters of
CDE to TUV compare?
_______________________________________________________
For # 15 & 16, solve for the indicated value in each pair of similar polygons.
15.  1 = ________
 2 = ________
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 measures of these angles?
 3 = ________
 4 = ________
 5 = ________
 6 = ________
Geometry Unit 5 - Similarity
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Independent Practice: MORE SIMILAR POLYGONS
16. P = _________
A rectangle has a length of 4 feet and a perimeter of 14 feet. What is the
perimeter of a similar rectangle with a width of 9 feet?
For # 17 – 19, clearly circle the best answer. Work must be shown in order to receive credit.
17. A triangle with vertices (1, 2), (5, 2), and (3, - 2) is shown to the below.
Which triangle below is similar to the figure above?
A.
Geometry Unit 5 - Similarity
B.
C.
D.
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Independent Practice: MORE SIMILAR POLYGONS
18. The graph of parallelogram ABCD is shown below.
Which set of coordinates identifies the vertices of a parallelogram that is similar to ABCD?
A. (0, 3), (2, 3), (1, 1), ( - 1, 1)
B. ( - 2, 2), (0, 2), (1, 0), ( - 1, 0)
C. ( - 8, 8), ( - 3, 8), ( - 5, 4), ( - 10, 4)
D. ( - 3, 1), (1, 1), ( - 1, 5), ( - 5, 5)
19. 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.
Geometry Unit 5 - Similarity
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