Question

The construction of copying is started below. The next step is to set the width of the compass to the length of . How does this step ensure that the new angle will be congruent to the original angle?

Answer 1

Congruent angles are angles that have equal measurements

The step ensures the angles are congruent by creating radii of equal lengths.

How the step ensures the angles are congruent

When the width of the compass is set to the length AP (from the complete question), it gives a path to create an angle congruent to angle APB.

The angle APB would have the same radii (BP and AP) and the same width as the congruent angle that would be created.

Hence, the step ensures the angles are congruent by creating radii of equal lengths.

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