Question

figure abcde is transformed in the coordinate plane to form the image abcde. label the vertices of abcde, and tell what single transformation was used.

Explanation:

Step1: Observe the transformation

By comparing the original figure ABCDE and its image A'B'C'D'E', we can see that the figure is reflected across the x - axis. When a point (x,y) is reflected across the x - axis, the transformation rule is (x,y)→(x, - y).

Step2: Find the coordinates of the image vertices

Assume the coordinates of A are (2,6), B are (3,10), C are (6,8), D are (7,5), E are (5,4). After reflection across the x - axis, the coordinates of A' are (2, - 6), B' are (3, - 10), C' are (6, - 8), D' are (7, - 5), E' are (5, - 4).

Answer:

The vertices of A'B'C'D'E' are: A'(2, - 6), B'(3, - 10), C'(6, - 8), D'(7, - 5), E'(5, - 4). The transformation used is a reflection across the x - axis.