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

Recent Articles

  1. Finding Range of Values Inequality Problems

    May 21, 24 08:51 PM

    Finding Range of Values Inequality Problems

    Read More

  2. Solving Two Step Inequality Word Problems

    May 21, 24 08:51 AM

    Solving Two Step Inequality Word Problems

    Read More

  3. Exponential Function Context and Data Modeling

    May 20, 24 10:45 PM

    Exponential Function Context and Data Modeling

    Read More