Question

A triangle is shown on the graph:

A coordinate plane is shown. A triangle has vertices at negative 6 comma 2, negative 5 comma 5, negative 2 comma 2.
What effect will a 90-degree clockwise rotation have on the triangle? Be sure to address how it could impact the angles, side lengths, and any congruency between the original pre-image and the image.

Answer 1

9514 1404 393

Answer:

the image is congruent with the original, angles and lengths are unchanged

Explanation:

Translation, rotation, and reflection are known as "rigid transformations". Effectively, you can cut the figure from some rigid material, and move it according to any of these transformations without causing it to deform in any way.

All lengths and angles retain their measures when the figure is rotated about any point, through any angle. The rotated figure is congruent with the original.

__

Here, the triangle is defined in the second quadrant. Rotating it 90° clockwise will move it to the first quadrant. The transformation of coordinates is ...

(x, y) ⇒ (y, -x)