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GeoGebraGeoGebra Classroom

IM2.6.2: Side Splitter

1. Construction

Dilate triangle ABC from center A with a scale factor of 2.

1. Compare the following ratios and describe the relationship. Why do you think it's true? Use words like similar, scale factor, image, pre-image. a.  b. 

2. Are the above relationships true for alldilations? Use the undo button to get rid of your dilation, then perform dilations of 1/2, 3, and 5. Is there anything you need to add to your answer to number 1 (particularly part b)? 

3. With your last dilation, draw LINES Toolbar Image CB andC'B'. Display their equations in y=mx+b form, and describe their relationship. Using what you know about angles of similar figures, can you give a reason that this is true?