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Quiz Review
Geometry
Name _____________________________
7.1-7.4
1. A ratio is a comparison of a number a and a nonzero number b
using __________________
proportion
2. An equation that states that two ratios are equal is called a ______________
division
scale factor
proportional
3. Two polygons are similar if their corresponding angles
are ______________ and their corresponding side lengths are _________
congruent
ratio
4. If two polygons are similar, then the ratio of the lengths of two
corresponding sides is called the ___________ ________________
Simplify the following.
5. 8 in : 24 in
6.
6 𝑖𝑛𝑐ℎ𝑒𝑠
2 𝑓𝑒𝑒𝑡
4 𝑑𝑎𝑦𝑠
7. 2 𝑤𝑒𝑒𝑘𝑠
Use the number line to find the ratio of the distances.
8. AB : CF
9. BF : CD
10. DE: AC
11. BE: AD
12. The perimeter of a rectangle is 48 inches. The ratio of the width to the length is 3 : 5, as shown. Find
the width and the length of the rectangle.
Width: __________________
Length: _________________
13. In the diagram, JK : KL is 3: 2 and JL = 35. Find JK and KL.
14. Multiple Choice: ∆ABC ~ ∆DEF. Which statement is not correct?
𝐴𝐵
𝐵𝐶
A) 𝐷𝐸 = 𝐸𝐹
𝐶𝐴
𝐴𝐵
B) 𝐹𝐷 = 𝐷𝐸
C) ∠A ≅ ∠F
Solve the proportions.
8
32
𝑦
1
𝑥
15. 3 =
18. 2 = 22
16.
𝑥+2
10
5
19. 3 =
4
2
17. 3 =
=5
𝑥+8
18
12
𝑥−3
6
6
20. 5𝑥−3 = 11
In # 21-23, ∆JKL ~ ∆EFG.
21. List all pairs of congruent angles.
22. Write the ratios of the corresponding sides in a statement of proportionality.
23. Find the scale factor of ∆JKL to ∆EFG.
24. Find the scale factor of ∆KLM to ∆QRS.
25. Find the scale factor of ABCD to WXYZ.
Determine whether the polygons are similar. If they are similar, write a similarity statement and find
the scale factor of figure B to figure A.
26.
27.
The two polygons are similar. Find the value of x. (Hint: set up a proportion!)
28.
29.
Determine whether the triangles are similar and explain why (AA~, SAS~, SSS~). If they are similar,
write a similarity statement.
30.
31.
Similar? ________ why? _______ ∆DCE ~ ________
Similar? ________ why? _______ ∆ABD ~ ________
32.
33.
Similar? ________ why? _______ ∆PRQ ~ ________
Similar? ________ why? _______ ∆JKL ~ ________
34.
35.
Similar? ________ why? _______ ∆SRT ~ ________
Similar? ________ why? _______ ∆DEF ~ ________
36.
37.
Similar? ________ why? _______ ∆ABC ~ _____
Similar? ________ why? _______ ∆JNK ~ ________
Use the diagram to complete the statement.
38. ∆ABC ~ _________
𝐴𝐵
39. 𝐴𝐷 =
𝐵𝐶
40. The scale factor of ∆ADE to ∆ABC is _________
The following figures are similar to each other. Find the value of the variable.
(Hint: set up a proportion)
41.
42.
43.
44.
45.
DECB ~ KLMJ
___________
46.