Question

Question explain why all right angles are congruent. responses right angles are all the same size. right angles are all the same size. all right angles are supplementary. all right angles are supplementary. corners of squares are right angles, and all squares are congruent. corners of squares are right angles, and all squares are congruent. all right angles have a measure of $90\degree$ , and all angles with the same measure are congruent.

Answer 1

All right angles are congruent because they all measure exactly 90 degrees. This consistency makes right angles fundamental in geometric principles and ensures that calculations in trigonometry and other mathematical areas that involve right angles are reliable.

Step-by-step explanation:

All right angles are congruent because they all have the same angle measure of 90 degrees. This is a fundamental principle in geometry, where an angle that measures 90 degrees is defined as a right angle. By this definition, all right angles will always have the same size, making them congruent to each other. Congruent angles are angles that have the same angle measure.

When dealing with shapes like squares, all corners are right angles, and this is true for all squares regardless of their size, further illustrating the point that right angles are congruent. Moreover, in a right-angled triangle, the sides and the Pythagorean Theorem rely on the right angle as a consistent, defining feature. The consistency and predictability of right angles make them a cornerstone in various mathematical principles including trigonometry, where calculations based on right angles (and their congruence) produce reliable results.