5.3 Academic Practice With Similarity
16 Questions
| Total Attempts: 168
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 AC, 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. 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
- 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. In a triangle, the ratio of the measures of three sides is 3:4:5, and the perimeter is 48 in. Find the measure of the shortest side of the triangle.
- A.
12
- B.
8
- C.
6
- 16.
17. Which proportion is equivalent to the following?
- A.
A only
- B.
B only
- C.
C only
- D.
A and C only
- E.
None of the above
Assignment 5.3 Mixed problems solving proportions.
Questions: 16 | Attempts: 121 | Last updated: Mar 16, 2022
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Sample Question1. Which of the following triangles are always similar?
Questions: 20 | Attempts: 365 | Last updated: Mar 20, 2022
Please take care with your answers. You will have only one chance with this quiz.I wish each student luck with this quiz.
Questions: 15 | Attempts: 214 | Last updated: Mar 19, 2022
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Sample Question12 markers cost $9. Which fraction will complete the proportion to find the cost of 15 markers?
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