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.
A 90-degree clockwise rotation will have the following effects on the triangle:
1. Angle transformation: Each angle of the triangle will be rotated 90 degrees in a clockwise direction. For example, a 90-degree angle in the original pre-image will become a 0-degree angle in the resulting image. Similarly, a 60-degree angle will become a 150-degree angle, and so on.
2. Side lengths: The side lengths of the triangle will remain unchanged. A rotation does not alter the lengths of the sides.
3. Congruency: The original pre-image and the resulting image will not be congruent. Congruency between two figures exists if they have the same shape and size. Since a rotation changes the orientation of the figure without altering its shape or size, the resulting image will have a different orientation and, therefore, will not be congruent to the original triangle.
In summary, a 90-degree clockwise rotation will impact the angles of the triangle by rotating them 90 degrees clockwise. The side lengths will remain unchanged, and the resulting image will not be congruent to the original pre-image.