Warm Up: Why do we use dilations to create scale drawings of figures? (Think about the properties of a scale drawing) Please answer in full sentences.

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Presentation transcript:

Warm Up: Why do we use dilations to create scale drawings of figures? (Think about the properties of a scale drawing) Please answer in full sentences.

Dilations Practice Do you understand the properties of dilations?

1. A dilation with center O and scale factor r takes A to A’ and B to B’. Find the center O and estimate the scale factor r.

Find the center O estimate the scale factor r 1. A dilation with center O and scale factor r takes A to A’ and B to B’. Find the center O and estimate the scale factor r.

I know that the center O will lie on line AA’ and line BB’. I will draw line AA’ and line BB’.

Find the center O estimate the scale factor r 1. A dilation with center O and scale factor r takes A to A’ and B to B’. Find the center O and estimate the scale factor r. I know that the center O will lie on line AA’ and line BB’. I will draw line AA’ and line BB’.

Find the center O estimate the scale factor r 1. A dilation with center O and scale factor r takes A to A’ and B to B’. Find the center O and estimate the scale factor r. The only point that lies on line AA’ and line BB’ is the point of intersection. That is my center O.

Find the center O estimate the scale factor r 1. A dilation with center O and scale factor r takes A to A’ and B to B’. Find the center O and estimate the scale factor r. The only point that lies on line AA’ and line BB’ is the point of intersection. That is my center O. O

Find the center O estimate the scale factor r 1. A dilation with center O and scale factor r takes A to A’ and B to B’. Find the center O and estimate the scale factor r. To find the scale factor, I compare length OA to OA’ and OB to OB’. O

Find the center O estimate the scale factor r 1. A dilation with center O and scale factor r takes A to A’ and B to B’. Find the center O and estimate the scale factor r. I find that OA’ is twice the length of OA. OB’ is twice the length of OB. Therefore, my scale factor is r=2. O

I begin by finding A’ and B’. I draw rays OA and OB. Then I dilate A and B using the scale factor r = 3.

Now measure A’B’ and AB.

A’B’=12.6 units. AB = 4.2 units.

First, I must find A’, B’, and C’ using a dilation with scale factor r=3.

I know the center of dilation O will lie on the line AA’.

I know the center of dilation O will lie on the line AA’. I can put O on the left of A or on the right of A’.

O

O

O

Now I dilate P with scale factor r=1/4. O P’