Lesson 5

The Size of the Scale Factor

The practice problem answers are available at one of our IM Certified Partners

Problem 1

Rectangles P, Q, R, and S are scaled copies of one another. For each pair, decide if the scale factor from one to the other is greater than 1, equal to 1, or less than 1.

Four rectangles, labeled P, Q, R and S. 
  1. from P to Q
  2. from P to R
  3. from Q to S
  4. from Q to R
  5. from S to P
  6. from R to P
  7. from P to S

Problem 2

Triangle S and Triangle L are scaled copies of one another.

  1. What is the scale factor from S to L?

  2. What is the scale factor from L to S?

  3. Triangle M is also a scaled copy of S. The scale factor from S to M is \(\frac{3}{2}\). What is the scale factor from M to S?

Two triangles labeled S and L on a grid. Triangle S has a horizontal base of 2 units and a height of 4 units. Triangle L has a horizontal base of 4 units and a height of 8 units.

Problem 3

Are two squares with the same side lengths scaled copies of one another? Explain your reasoning.

Problem 4

Quadrilateral A has side lengths 2, 3, 5, and 6. Quadrilateral B has side lengths 4, 5, 8, and 10. Could one of the quadrilaterals be a scaled copy of the other? Explain.

(From Grade7, Unit 1, Lesson 2.)

Problem 5

Select all the ratios that are equivalent to the ratio \(12:3\).

A:

$6:1$

B:

$1:4$

C:

$4:1$

D:

$24:6$

E:

$15:6$

F:

$1,\!200:300$

G:

$112:13$