Question

Angle B has a measure of 60∘ and is reflected across the line y=x and translated left 14 units to angle B′.

What is the measure of angle B′?

Answer 1

`B' = 60^\circ`

Explanation:

Given

`B = 60^\circ`

Reflected and translated to B'

Required

Find the measure of B'

When an angle is reflected and/or translated (irrespective of the number of units of reflection and translation), the resulting angle always equal the initial angle.

This is so because, reflection and translation are rigid transformations and as such, they do not alter the length of measurements.

Hence:

`B' = 60^\circ`