Lesson 5: Practice Problems

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. Each rectangle is a scaled copy of one another. Ranked in order from least to greatest, the area of the rectangles are as follows: the area of P is equal to S, which are less than the area of Q, which is less than the area of R.

from $P$ to $Q$
from $P$ to $R$
from $Q$ to $S$
from $Q$ to $R$
from $S$ to $P$
from $R$ to $P$
from $P$ to $S$

Problem 2

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

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.

What is the scale factor from $S$ to $L$ ?
What is the scale factor from $L$ to $S$ ?
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 $S$ ?

Problem 3

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

Problem 4 From Unit 1 Lesson 2

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.

Problem 5 From Unit 2 Lesson 5

Select all the ratios that are equivalent to the ratio $12 : 3$ .

$6 : 1$
$1 : 4$
$4 : 1$
$24 : 6$
$15 : 6$
$1, 200 : 300$
$112 : 13$