Question

grade 8: week of 9/22, math hw - day 2 directions: show all steps of your thinking and circle final problem #1 - unit 1 (mild) describe how to move polygon a into the position of polygon b using a transformation. rotate polygon b 90 degrees counter clockwise about a vertex and then translate it to match polygon b problem #2 - unit 1 (mild) are the shapes congruent? describe in detail what transformation takes polygon a to polygon b.

Explanation:

Step1: Analyze transformation type

If two polygons are congruent, we can use rigid - motion transformations (rotation, translation, reflection). Looking at the problem of moving Polygon A to Polygon B, we first consider rotation. Rotating Polygon A 90 degrees counter - clockwise about a vertex changes its orientation.

Step2: Consider translation

After rotating Polygon A 90 degrees counter - clockwise, we may need to translate it horizontally and/or vertically to match the position of Polygon B. The combination of a 90 - degree counter - clockwise rotation about a vertex and a subsequent translation will move Polygon A to the position of Polygon B.

Answer:

Rotate Polygon A 90 degrees counter - clockwise about a vertex and then translate it to match Polygon B.