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4. each picture shows two polygons, one labeled polygon a and one label…

Question

  1. each picture shows two polygons, one labeled polygon a and one labeled polygon b. describe how to move polygon a into the position of polygon b using a transformation.

a.
b.
c.

Explanation:

Step1: Analyze polygon a

By observing the orientation and position of Polygon A and Polygon B in part a, we can see that Polygon A can be translated 4 units to the right to match the position of Polygon B. There is no rotation or reflection.

Step2: Analyze polygon b

For part b, Polygon A needs to be rotated 90 - degrees counter - clockwise around the bottom - right vertex of Polygon A. After rotation, it will match the orientation and position of Polygon B.

Step3: Analyze polygon c

In part c, Polygon A can be reflected over a vertical line passing through the middle of the two polygons. Then, it will be in the position of Polygon B.

Answer:

a. Translate Polygon A 4 units to the right.
b. Rotate Polygon A 90 - degrees counter - clockwise around the bottom - right vertex of Polygon A.
c. Reflect Polygon A over a vertical line passing through the middle of the two polygons.