8.1.7.2 Deep Dive Exploration: Sides and Angles
- Author:
- jennifer.r.peter, IM 6 - 8 Math, IM 6 – 8 Math
- Topic:
- Angles, Geometry, Geometric Transformations
Let's compare measurements before and after translations, rotations, and reflections.
In this activity you will be performing transformations of various figures then comparing the measurements of their sides and angles.
- The applets contain tools for the three rigid transformations: Rotations
, Reflections 
, and Translations 
. - You will have to choose which tool to use in each problem after reading the directions.
- First you'll have time to work independently.
- Be prepared to share in a class discussion to compare our measurements and strategies.
Exploration 1: Translating a Polygon
Translating a Polygon
1. Translate Polygon A so point P goes to point Q. In the image, write the length of each side, in grid units, next to the side.
Caution: a quick click is all that is needed to select a figure.
- If you move the cursor away, and the image does not seem “highlighted,” it is likely you selected and de-selected the figure.
Exploration 2: Rotating a Triangle
Rotating a Triangle
2. Rotate Triangle B 90 degrees clockwise using R as the center of rotation.
In the image, write the measure of each angle in its interior.
Exploration 3: Reflecting a Pentagon
3. Reflecting a Pentagon
Reflect Pentagon C across line ℓ.a. In the image, write the length of each side, in grid units, next to the side. b. In the image, write the measure of each angle in the interior.