Honors Geometry Companion Book, Volume 2

7.2.2 Using Proportional Relationships - Worksheet

Example 1: 1.  To find the height of a dinosaur in a museum, Amir placed a mirror on the ground 40 ft from its base. Then he stepped back 4 ft so that he could see the top of the dinosaur in the mirror. Amir’s eyes were approximately 5 ft 6 in. above the ground. What is the height of the dinosaur?

5 ft 6 in.

4 ft

40 ft

Example 2: The scale of this blueprint of an art gallery is 1 in:48 ft. Find the actual lengths of the following walls. 2. AB 3. CD

A

E

F

D

B C

H

G

4. EF

5. FG

Example 3: A rectangular classroom is 10 m long and 4.6 m wide. Make a scale drawing of the classroom using the following scales. 6. 1 cm:1 m 7. 1 cm:2 m 8. 1 cm:2.3 m

Example 4: Given: rectangle MNPQ ~ rectangle RSTU 9. Find the perimeter of rectangle RSTU .

10. Find the area of rectangle RSTU .

40

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