CORRESPONDING PARTS OF SIMILAR FIGURES

Problem 1 :

Some special effects in movie are created using miniature models. In a recent movie, a model sports utility (SUV) 22 inches long was created to look like a real 14  2/3 foot SUV. What is the scale factor of the model compared to the real SUV ?

Solution

Problem 2 :

The two polygons are similar, write similarity statement and find x, y and UT.

proportional-parts-ofsim-tri-q1

Solution

Problem 3 :

Each pair of polygons is similar. Write a similarity statement, find x and measures of indicated sides and scale factor.

proportional-parts-ofsim-tri-q2.png

Solution

Problem 4 :

Each pair of polygons is similar. Write a similarity statement, find x and measures of indicated sides and scale factor. Find the lengths of FE, EH and GF.

proportional-parts-ofsim-tri-q3.png

Solution

Each pair of polygons is similar. Write a similarity statement, find x and measures of indicated sides and scale factor.

Problem 5 :

 Find the lengths of AB and CD.

proportional-parts-ofsim-tri-q4.png

Solution

Problem 6 :

Find AC and CE.

proportional-parts-ofsim-tri-q5

Solution

Problem 7 :

Find BC and ED.

proportional-parts-ofsim-tri-q6.png

Solution

Answer Key

1) the model is 1/8 of the real.

2)  x = 13.5, y = 20.5, UT = 22.5

3) x = 14, scale factor is 3 : 2.

4)  x = 23,  the scale factor is 1/2, FE = 28, EH = 20, GF = 32

5)  AB = 16/3, CD = 10/3

6)  AC = 7.6, CE = 11.4

7)  x = 0.6, AC = 7.6, CE = 11.4

More Practice Questions

from-perimeter-find-side-of-triangle

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