Question

polygon abcde is the first in a pattern for a high school art project. the polygon is transformed so that the image of a is at (-2, 2) and the image of d is at (-3, 0). which transformation can be used to show that abcde and its image are congruent?
rotate abcde 90° counter - clockwise.
translate abcde left 4 units and down 2 units.
reflect abcde over the x - axis.
rotate abcde 90° clockwise.

Explanation:

Step1: Find original coordinates of A and D

Assume original coordinates of A are (2,4) and of D are (1,2) from the graph.

Step2: Analyze translation

For point A(2,4), if we translate left 4 units (subtract 4 from x - coordinate) and down 2 units (subtract 2 from y - coordinate), we get A'=(2 - 4,4 - 2)=(-2,2). For point D(1,2), (1 - 4,2 - 2)=(-3,0).

Answer:

Translate ABCDE left 4 units and down 2 units.