Question

7.1.04

1. rectangles p, q, r, and s are scaled copies of one another. for each pair, state whether the scale factor that takes one figure to another is greater than 1, equal to 1, or less than 1.

rectangle p to rectangle r
rectangle q to rectangle s
rectangle q to rectangle r
rectangle s to rectangle p
rectangle r to rectangle p

Explanation:

Step1: Understand scale - factor concept

If the image is larger than the original, scale - factor > 1; if same size, scale - factor = 1; if smaller, scale - factor < 1.

Step2: Analyze Rectangle P to rectangle R

Since rectangle R is larger than rectangle P, the scale - factor from P to R is greater than 1.

Step3: Analyze Rectangle Q to rectangle S

Since rectangle S is smaller than rectangle Q, the scale - factor from Q to S is less than 1.

Step4: Analyze Rectangle Q to rectangle R

Since rectangle R is larger than rectangle Q, the scale - factor from Q to R is greater than 1.

Step5: Analyze Rectangle S to rectangle P

Since rectangle P and rectangle S are of the same size, the scale - factor from S to P is equal to 1.

Step6: Analyze Rectangle R to rectangle P

Since rectangle P is smaller than rectangle R, the scale - factor from R to P is less than 1.

Answer:

Rectangle P to rectangle R: greater than 1
Rectangle Q to rectangle S: less than 1
Rectangle Q to rectangle R: greater than 1
Rectangle S to rectangle P: equal to 1
Rectangle R to rectangle P: less than 1