Question

How are rigid transformations used to justify the sas congruence theorem?

Answer 1

Answer:Rigid transformations preserve segment lengths and angle measures.

A rigid transformation, or a combination of rigid transformations, will produce congruent figures.

In proving SAS, we started with two triangles that had a pair of congruent corresponding sides and congruent corresponding included angles.

We mapped one triangle onto the other by a translation, followed by a rotation, followed by a reflection, to show that the triangles are congruent.

Step-by-step explanation:

Sample Response: Rigid transformations preserve segment lengths and angle measures. If you can find a rigid transformation, or a combination of rigid transformations, to map one triangle onto the other, then the triangles are congruent. To prove SAS, we started with two distinct triangles that had a pair of congruent corresponding sides and a congruent corresponding included angle. Then we performed a translation, followed by a rotation, followed by a reflection, to map one triangle onto the other, proving the SAS congruence theorem.

Answer 2

Answer:

Rigid transformations preserve segment lengths and angle measures.

A rigid transformation, or a combination of rigid transformations, will produce congruent figures.

In proving SAS, we started with two triangles that had a pair of congruent corresponding sides and congruent corresponding included angles.

We mapped one triangle onto the other by a translation, followed by a rotation, followed by a reflection, to show that the triangles are congruent.

Step-by-step explanation:

(Just copy and paste) ^^^that is also the explaination