Transformations

Apex Lesson

Go through and take notes on the Apex Lesson 9.3 in the ACTKMA Prep Class for background on transformations and their effects on area and volume.

More Information on Transformations

Watch these Videos:• Similarity and Area Ratios • Similarity and Volume Ratios

Be sure to take notes!

Example: Orion plans to build a circular pool with either a 30-foot (ft) radius or a 15-ft radius, as shown below.

The cost of a cement path around the edge of the pool depends on the circumference of the pool. If the materials for the path around the 30-ft radius pool cost $100, what would be the cost of the materials for the path around the 15-ft radius pool? First, how many times bigger is the circumference of the big pool compared to the circumference of the small one?

A. Twice as big

B. Four times as big

C. Eight times as big

D. 30 times as big

Click on the star that best matches your answer.

Great Job!Remember, circumference is different than area and volume.

Example: Orion plans to build a circular pool with either a 30-foot (ft) radius or a 15-ft radius, as shown below.

The cost of a cement path around the edge of the pool depends on the circumference of the pool. If the materials for the path around the 30-ft radius pool cost $100, what would be the cost of the materials for the path around the 15-ft radius pool? First, how many times bigger is the circumference of the big pool compared to the circumference of the small one?

A. $85

B. $75

C. $50

D. $25

Click on the star that best matches your answer.

Fantastic!Remember the 15 foot radius pool’s circumference is half that of the 30 foot radius pool

Example 2: Each dimension of a rectangle is reduced by a factor of 1/3. The area of the rectangle is multiplied by which factor?

A. 1/3

B. 1/6

C. 1/9

D. 1/12

Click on the star that best matches your answer.

Smarty! Remember, area is the factor squared.

Homework

Now you are ready to

complete and hand in

the transformation

homework!