Question

It’s time to verify that a reflection is a rigid transformation. You’ll begin with the angle measurements. Measure the angles of polygon ABCD and the angles of the reflected image. Record the measure of each angle to the nearest degree.

Answer 1

Answer:

ABCB AGHBGHCGHDGH

90°  90°

45°  45°

135°  135°

90°  90°

Step-by-step explanation:

Answer 2

The measure of each angle of the reflected polygon is same as the corresponding angle of the original one.

What is the reflection of polygon about a line?

By reflection about a line, the polygon changes its position such that the distance of every point from the original one will be the same as the distance from every corresponding point of the reflected one from that line.

So according to the question,

Let polygon ABCD is reflected about line GH then the reflected polygon will be A'B'C'D'

Let ∠ABC= 120°

∠BCD= 80°

∠CDA= 70°

∠DAC= 90°

Now if we measure the corresponding angle of the reflected polygon A'B'C'D', then the reflected corresponding angle will be

∠A'B'C'= 120°

∠B'C'D'= 80°

∠C'D'A'= 70°

∠D'A'C'= 90°

Therefore the measure of each angle of the reflected polygon is the same as the corresponding angle of the original one.

Learn more about reflection

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