Unit A: Geometry

Chapter 2: Transformations

Practice

Instructions: Click the Download File button to download a printable PDF of the questions. Answer each of the following practice questions on a separate piece of paper. Step by step solutions are provided under the Solutions tab. You will learn the material more thoroughly if you complete the questions before checking the answers.

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Practice
Solutions

A factory makes several different sizes of canned tomato products.

The large can of tomato sauce has a diameter of

5.4 cm

and a height of

9.1 cm

. A scale factor of

0.25

is applied to the large can to create the small can of tomato paste. What are the dimensions of the small can after the dilation? Round the answer to

1

decimal place.

Joe attaches miniature flags to toothpicks.

The current dimensions of his flags are

4.5 cm

2 cm

. Joe would like to make a larger version of his flags on toothpicks. If Joe dilates the flags by

1.75

, what will be the new dimensions of the flags? Round your answer to

1

decimal place.

Question 1

A factory makes several different sizes of canned tomato products.

The large can of tomato sauce has a diameter of

5.4 cm

and a height of

9.1 cm

. A scale factor of

0.25

is applied to the large can to create the small can of tomato paste. What are the dimensions of the small can after the dilation? Round the answer to

1

decimal place.

Solution

Since the scale factor is a number between

0

and

1

, this will be a reduction.

The diameter of the small can is

\begin{array}{rcl} d & = & 5.4 cm \times 0.25 \\ = & 1.4 cm \end{array}

The height of the small can is

\begin{array}{rcl} h & = & 9.1 cm \times 0.25 \\ = & 12.4 cm \end{array}

The diameter of the small can is

1.4 cm

, and the height of the small can is

12.4 cm

Question 2

Joe attaches miniature flags to toothpicks.

The current dimensions of his flags are

4.5 cm

2 cm

. Joe would like to make a larger version of his flags on toothpicks. If Joe dilates the flags by

1.75

, what will be the new dimensions of the flags? Round your answer to

1

decimal place.

Solution

Since the scale factor is larger than

1

, this will be an enlargement.

The length of the large flag will be

\begin{array}{rcl} l & = & 4.5 cm \times 1.75 \\ = & 7.9 cm \end{array}

The width of the large flag will be

\begin{array}{rcl} w & = & 2 cm \times 1.75 \\ = & 3.5 cm \end{array}

The length of the larger flag will be

7.9 cm

, and the width of the larger flag will be

3.5 cm