DETERMINE WHETHER THE PAIR OF FIGURES IS SIMILAR WORKSHEET

Problem 1 :

A 20 cm wide picture frame surrounds a painting which is 100 cm by 60 cm. Are the two rectangles shown here similar?

Solution

Give brief reasons why these figures possess similar triangles:

Problem 2 :

Solution

Problem 3 :

Solution

Problem 4 :

Solution

Problem 5 :

At 4 pm one day the shadow of a pine tree was 5 m long. At the same time a 2 m long broom handle had a shadow which was 3 m long. How high is the pine tree?

Solution

After establishing similarity, find the unknowns in:

Problem 6 :

Solution

Problem 7 :

Solution

Problem 8 :

Solution

Answer Key

1)  5 : 3 ≠ 7 : 5, not similar.

2)  Similar

3)  Similar

4)  Similar

5)  x = 3.3

6)  x = 3

7)  x = 4.8

8)  x = 9 1/3 

Find x given that the figures are similar :

Problem 1 :

Solution

Problem 2 :

Solution

Problem 3 :

Solution

Problem 4 :

Solution

Problem 5 :

Solution

Problem 6 :

Solution

Answer Key

1)  x = 6 2/3 m

2)  x = 2 6/7 cm

3)  x = 4 5/7 m

4)  x = 3 1/8 cm

5)  x = 13 1/3 cm

6)  x = 7 7/11 m

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