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Warm-Up What is the scale factor of ABC to DEF?.

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Presentation on theme: "Warm-Up What is the scale factor of ABC to DEF?."— Presentation transcript:

1 Warm-Up What is the scale factor of ABC to DEF?

2 Similarity – Day 7 Dilations

3 Dilation Practice

4 Dilation Nonrigid transformation in which the image and preimage are similar. Center C and scale factor k: If P is not the center point, then P’ lies on CP. If P is the center point, then P=P’

5 Dilation Nonrigid transformation in which the image and preimage are similar. Center C and scale factor k

6 Dilation Reduction if 0 < k < 1. Enlargement if k > 1.

7 Example 1: Identify the dilation and its scale factor.

8 Example 2: Identify the dilation and its scale factor.

9 Example 3: X(1, 4) Y(1, 1) Z(5, 1)

10 Example 4: A circle in a photocopier enlargement has a 6 in diameter. If the enlargement is 125% of the original, what is the diameter of the image of the circle?

11 Guided Practice

12 Drawing a dilation Draw a triangle and label it PQR.
Make a point outside of the triangle and name it C. Use the ruler to draw rays from C through the vertices of the triangle. Use the compass to locate P’ on CP so that CP’ = 2(CP). Repeat for Q’and R’. Connect the points P’, Q’, and R’. P’ Q P R C

13 Homework


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