5.3 Preap Practice With Similarity

16 Questions | By Blinwin | Updated: Mar 16, 2022 | Attempts: 149

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5.3 Preap Practice With Similarity - Quiz

Assignment 5. 3 Mixed problems solving proportions.

Questions and Answers

1.

1. Which of the following triangles are always similar?
- A.
  
  Right Triangles
- B.
  
  Isosceles Triangles
- C.
  
  Equilateral Triangles
2.

2. The sides of a triangle are 5, 6 and 10. Find the length of the longest side of a similar triangle whose shortest side is 15.
- A.
  
  10
- B.
  
  15
- C.
  
  18
- D.
  
  30
3.

3. TRUE or FALSE: Similar triangles are exactly the same shape and size.
- A.
  
  True
- B.
  
  False
4.

4. Given: In the diagram, DE is parallel to AB, BD = 4, DA =6 and EC = 8. Find BC to the nearest tenth.
- A.
  
  3.2
- B.
  
  5.3
- C.
  
  8.3
5.

5. Given: In the diagram, DE is parallel to AC, BD = 4, DA=8, EC=9. Find BC to the nearest tenth.
- A.
  
  3
- B.
  
  4.5
- C.
  
  13.5
- D.
  
  17
6.

6. Two ladders are leaned against a wall such that they make the same angle with the ground. The 10' ladder reaches 8' up the wall. How much further up the wall does the 18' ladder reach?
- A.
  
  4.5 ft
- B.
  
  6.4 ft
- C.
  
  14.4 ft
- D.
  
  22.4 ft
7.

7. At a certain time of the day, the shadow of a 5' boy is 8' long. The shadow of a tree at this same time is 28' long. How tall is the tree?
- A.
  
  8.5
- B.
  
  16
- C.
  
  17.5
- D.
  
  20
8.

8. Given: Two regular polygons are similar. One side of the larger polygon is 9 inches and one side of the smaller polygon is 6 inches. What is their ratio of similitude (larger to smaller)?
- A.
  
  3:1
- B.
  
  2:3
- C.
  
  3:2
9.

10. In triangle ABC, angle A = 90º and angle B = 35º. In triangle DEF, angle E = 35º and angle F = 55º. Are the triangles similar?
- A.
  
  Yes
- B.
  
  No
10.

11. Given angle A and angle A' are each 59º, find AC.
- A.
  
  8
- B.
  
  10
- C.
  
  12
- D.
  
  18
11.

12. Is triangle ABC similar to triangle ADE?
- A.
  
  Yes
- B.
  
  No
12.

13.
- A.
  
  (0,6)
- B.
  
  (3,6)
- C.
  
  (6,3)
13.

14. As marked, by which method would it be possible to prove these triangles similar (if possible)?
- A.
  
  AA
- B.
  
  SSS
- C.
  
  SAS
- D.
  
  Not similar
14.

15. As marked, by which method would it be possible to prove these triangles similar (if possible)?
- A.
  
  AA
- B.
  
  SSS
- C.
  
  SAS
- D.
  
  Not similar
15.

16. As marked, by which method would it be possible to prove these triangles similar (if possible)?
- A.
  
  AA
- B.
  
  SSS
- C.
  
  SAS
- D.
  
  Not similar
16.

17. For Black Friday, Best Buy wants to change their 60 in. by 90 in. poster to an 8 in. by 12 in. flyer. Find the scale factor used to reduce the poster.
- A.
  
  15:2
- B.
  
  2:15
- C.
  
  1:5