Bell Ringer The vertices of figure ABCD are A(4,2), B(-1, 0), C(5, 5), and D(1, -3). This figure is translated 3 units to the right and 4 units up.

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Presentation transcript:

Bell Ringer The vertices of figure ABCD are A(4,2), B(-1, 0), C(5, 5), and D(1, -3). This figure is translated 3 units to the right and 4 units up. 1. What is A’? 2. What is B’? 3. What is C’? 4. What is D’?

If you Haven’t Turned in Your Butterfly Reflection yet, Then You Need to Turn that in Now. Also, If you have any make-up work, you need to turn that in now as well

Quiz on Friday The quiz on Friday will cover Section 1.4 “Ordered Pairs and Relations” Section 2.6 “Graphing in Four Quadrants” Section 2.7 “Translations and Reflections” Section 6.8 “Dilations”

Section 6.8 Dilations R drive > Key > Week 14 > Wednesday > 6.8 PowerPoint File > Save As > P drive > Math > Week 14 > 6.8 PowerPoint

Vocabulary Dilation – A transformation that enlarges or reduces a figure by a scale factor

Notes When the center of a dilation is the origin, you can find the coordinates of the image by multiplying each coordinate of the figure by the scale factor. Use the notation (x, y) ⇨(kx, ky) to describe the dilation.

Example 1 Dilation in a Coordinate Plane

Example 2 Dilation in a Coordinate Plane A figure has vertices D(-4, 4), E(4, 8), F(8, 8), and G(4, 0). Graph the figure and the image of the polygon after a dilation with a scale factor of ¼.

Example 3 Dilation in a Coordinate Plane A figure has vertices R(-3, 6), S(3, 12), and T(3, 3). Graph the figure and the image of the figure after a dilation with a scale factor of 1/3.

Example 4 Dilations in a Coordinate Plane A triangle has vertices A(1, -2), B(0, 2), and C(-2, -1). Find the coordinates of the triangle after a dilation with a scale factor of 2.

Example 5 Dilations in a Coordinate Plane A figure has vertices X(-3, 6), Y(3, 0), and Z(3, 3). Find the coordinates of the figure after a dilation with a scale factor of 3.

Example 6 Dilations in a Coordinate Plane A triangle has vertices H(-1, -2), I(1, 4), and J(2, 1). Find the coordinates of the triangle after a dilation with a scale factor of 4.

Example 7 Find the Scale Factor

Example 8 Find the Scale Factor

In Summary

Homework Section 6.8 #1-6

Homework Section 6.8 #1-6

Homework Section 6.8 #1-6