Dilations

Use ratios and corresponding parts in dilations.

Lesson 1 of 53 parts Practice Flashcards

1/3

Scale Factors

Objective: Solve problems involving scale factors.

A dilation centered at the origin sends (x,y) to (kx,ky) for scale factor k>0.

Worked examples

Try itDilate point (3,5) from the origin by factor 2.Show answer

(6,10). Multiply both coordinates by 2.

Swipe sideways to move between sections

Objective: Solve problems involving scale factors.

A dilation centered at the origin sends (x,y) to (kx,ky) for scale factor k>0.

Worked examples

Try itDilate point (3,5) from the origin by factor 2.Show answer

(6,10). Multiply both coordinates by 2.

Objective: Solve problems involving coordinate dilations.

For an origin-centered dilation, multiply both coordinates by k.

Worked examples

Try itOrigin-centered dilation maps (3,5) to (9,15). What is k?Show answer

3. Each image coordinate is triple its original coordinate.

Objective: Solve problems involving similarity versus congruence.

A dilation preserves angle measures; only k=1 preserves all distances.

Worked examples

Try itA segment of length 5 is dilated by factor 2. What is its image length?Show answer

10. Lengths scale by factor 2; angles remain unchanged.

You finished the reading!

Lock it in with a few practice questions, then move on to the next lesson.