Transformations and congruence text answers unit 2 lesson 12
1) Describe a transformation that would map triangle ABC onto triangle DEF.
A possible transformation that would map triangle ABC onto triangle DEF is a translation. This involves sliding each point of triangle ABC in the same direction and distance to create triangle DEF.
2) Explain how to determine if two figures are congruent.
Two figures are congruent if they have the same shape and size. To determine if two figures are congruent, you can compare their corresponding sides and angles. If all corresponding sides are equal in length and all corresponding angles are equal in measure, then the figures are congruent.
3) Give an example of a transformation that would create congruent figures.
Rotating a figure by a certain angle of rotation would create a congruent figure. For example, if you rotate a triangle 180 degrees around its center point, the resulting triangle will have the same shape and size as the original triangle, and therefore they are congruent.