IM 8.2.6 Lesson: Similarity
Use what you know about operations and their properties to write three expressions equivalent to the expression shown.
Triangle EGH and triangle LME are similar. Find a sequence of translations, rotations, reflections, and dilations that shows this.
Describe the sequence of transformations you found.
Hexagon ABCDEF and hexagon HGLKJI are similar. Find a sequence of translations, rotations, reflections, and dilations that shows this.
Describe the sequence of transformations you found.
The same sequence of transformations takes Triangle A to Triangle B, takes Triangle B to Triangle C, and so on.
Describe a sequence of transformations with this property.
Sketch figures similar to Figure A that use only the transformations listed to show similarity using the applet below.
- A translation and a reflection. Label your sketch Figure B. Pause here so your teacher can review your work.
- A reflection and a dilation with scale factor greater than 1. Label your sketch Figure C.
- A rotation and a reflection. Label your sketch Figure D.
- A dilation with scale factor less than 1 and a translation. Label your sketch Figure E.
Your teacher will assign you a set of five cards and your partner a different set of five cards for the applet below.
Using only the cards you were given, find at least one way to show that triangle ABC and triangle DEF are similar.
Compare your method with your partner’s method. What is the same about your methods? What is different?