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 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?