Lesson 9.10

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Information about Lesson 9.10
Education

Published on February 11, 2009

Author: rdtowsley

Source: slideshare.net

Bell Work Use a graph of ∆WXY with vertices W(-3,3), X(-2,0) and Y(0,2). Graph ∆WXY. How many lines of symmetry does ∆WXY have? Give the vertices of ∆W’X’Y’, the image of ∆WXY after a reflection over the x-axis. Give the vertices of ∆W”X”Y”, the image of ∆WXY after a reflection over the y-axis.

Use a graph of ∆WXY with vertices W(-3,3), X(-2,0) and Y(0,2).

Graph ∆WXY. How many lines of symmetry does ∆WXY have?

Give the vertices of ∆W’X’Y’, the image of ∆WXY after a reflection over the x-axis.

Give the vertices of ∆W”X”Y”, the image of ∆WXY after a reflection over the y-axis.

J8 Rotations

Ex. 1 Rotation Image Rotation – a transformation that turns a figure about a fixed point called the center of rotation. Angle of rotation – The angle measure of the rotation

Rotation – a transformation that turns a figure about a fixed point called the center of rotation.

Angle of rotation – The angle measure of the rotation

Find the vertices of the image of ∆ABC after a rotation of 180º about the origin.

The vertices of the image are A’ (-1,-1), B’ (-2,-3), and C’(-3,-2)

The vertices of the image are A’ (-1,-1), B’ (-2,-3), and C’(-3,-2)

Finding Angle Rotation Connect a point to the center of rotation. Connect the center of rotation to the prime of the original point. Measure the angle.

Connect a point to the center of rotation.

Connect the center of rotation to the prime of the original point.

Measure the angle.

1. Copy the graph of ∆ABC in Example 1. Draw its image after a rotation of 90º about the origin. Name the coordinates of the vertices of the image.

Ex. 2 Rotational Symmetry Rotational symmetry – a figure has rotational symmetry if you can rotate it 180 º, or less, so that its image matches the original figure.

Rotational symmetry – a figure has rotational symmetry if you can rotate it 180 º, or less, so that its image matches the original figure.

Does this flower have rotational symmetry? If so what is the angle of rotation? Yes, the figure has rotational symmetry. The angle of rotation is 120 º

Judging from appearance, tell whether each figure has rotational symmetry. If so, what is the angle of rotation? a. b. c.

Judging from appearance, tell whether each figure has rotational symmetry. If so, what is the angle of rotation?

a. b. c.

Assignment 17 WB pages 163-164 Don’t forget the Chapter 9 Test is Friday. Start studying tonight!

WB pages 163-164

Don’t forget the Chapter 9 Test is Friday. Start studying tonight!

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