Ex 1: The following rectangles are similar. Find the missing side length. a.
A
C
W
Y
3
9
X
B
x
D
8
b.
Find the perimeters of rectangles ABCD and WXYZ. c.
How to the ratio of corresponding side lengths and the ratio of perimeters compare?
Z
Ex 2: Use the rectangles from Example 1 to answer the following.
A
C
W
Y
3
9
X
B
24
D
8
Z
a.
Find the area of each rectangle. b.
How do the ratio of the corresponding side lengths and the ratio of corrresponding areas compare?
Ex 3: Use your conclusions from Examples 1 and 2 to find the following.
a.
The perimeter of a square is 64 cm. The perimeter of a similar square is 24 cm. What is the ratio of their side lengths?
b.
The base of one right triangle is 9 inches. The base of a similar right triangle is 12 inches. What is the ratio of their areas?
c.
Two rectangles are similar. A side of one rectangle is 5m and the corresponding side of the second is 8m. The area of the first rectangle is 75 m2. What is the area of the second rectangle?
Homework: Similar Polygons worksheet