Parallel Lines and Transversals

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Geometry Unit 4, Similar figures

Explorations Sheet 4-0, Dilations

Nane______________________

Date__________ Period_______

Dilations

Open the GeoGebra applet “GG-Dilations”. Follow the instructions below and answer the following questions:

1. a) Write the vertex matrix for the given (i.e., red) quadrilateral.

b) Set the scale factor slider to “2”.

Write the vertex matrix for the dilated (i.e., green) quadrilateral. c) If you were given the coordinates of the red quadrilateral and the scale factor, but you didn’t have the GeoGebra applet, how could you come up with the coordinates of the green quadrilateral?

2. a) Write the vertex matrix for the given (i.e., red) quadrilateral.

b) Set the scale factor slider to “1.5”.

Write the vertex matrix for the dilated (i.e., green) quadrilateral. c) If you were given the coordinates of the red quadrilateral and the scale factor, but you didn’t have the GeoGebra applet, how could you come up with the coordinates of the green quadrilateral?

3. a) Write the vertex matrix for the given (i.e., red) quadrilateral.

b) Set the scale factor slider to “0.5”.

Write the vertex matrix for the dilated (i.e., green) quadrilateral. c) If you were given the coordinates of the red quadrilateral and the scale factor, but you didn’t have the GeoGebra applet, how could you come up with the coordinates of the green quadrilateral?

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