Question

problem 5 describe a sequence of transformations to show that polygon abcd is congruent to polygon efgh. use the sketch tool if it helps to show your thinking.

Explanation:

Step1: Identify horizontal translation

Translate polygon ABCD 4 units to the right. Each point (x,y) of ABCD becomes (x + 4,y).

Step2: Identify vertical translation

Then translate the resulting polygon 3 units down. Each point (x,y) of the previously - translated polygon becomes (x,y - 3).

Step3: Identify reflection

Reflect the polygon obtained from the previous two steps over the x - axis. For a point (x,y), it becomes (x, - y). After these transformations, polygon ABCD will coincide with polygon EFGH, showing they are congruent.

Answer:

First, translate polygon ABCD 4 units to the right, then 3 units down, and then reflect it over the x - axis.