Question

What effect will a translation 3 units down and 2 units left have on a polygon? Please address how it could impact the angles, side lengths, and congruency between the original pre-image and the image.

Answer 1

When a polygon is translated 3 units down and 2 units left, the angles and side lengths remain the same, and the translated image is congruent to the original pre-image.

Step-by-step explanation:

A translation 3 units down and 2 units left will have the following effects on a polygon:

• Angles: The angles of the polygon will remain the same. Translation does not change the measure of angles.
• Side Lengths: The lengths of the sides of the polygon will remain the same. Translation preserves side lengths.
• Congruency: The translated image will be congruent to the original pre-image. Congruent polygons have the same shape and size.