# 5.3 Academic Practice With Similarity

12 Questions | Total Attempts: 156  Settings  Assignment 5. 3 Mixed problems solving proportions.

• 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

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