Question

grade 8: week of 9/22, math hw - day 2
directions: show all steps of your thinking and circle final answers!
problem #1 - unit 1 (mild)
describe how to move polygon a into the position of polygon b using a transformation.
problem #2 - unit 1 (mild)
are the shapes congruent? describe in detail what transformation takes polygon a to polygon b.

Explanation:

Step1: Analyze Polygon A and B in Problem #1

Observe the orientation and position.
We can see that Polygon A can be rotated 90 - degrees counter - clockwise about a point (for example, one of its vertices) and then translated to match Polygon B.

Step2: Analyze congruency in Problem #2

Check if the shapes have the same size and shape.
The shapes are congruent. To move Polygon A to Polygon B, we can first translate Polygon A horizontally and then vertically to align it with Polygon B.

Answer:

Problem #1: Rotate Polygon A 90 - degrees counter - clockwise about a vertex and then translate it to match Polygon B.
Problem #2: The shapes are congruent. Translate Polygon A horizontally and then vertically to get Polygon B.