Respuesta :

maddyj0204

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

MrRoyal

When a shape is transformed by rigid transformation, the sides lengths and angles remain unchanged.

Rigid transformation justifies the SAS congruence theorem by keeping the side lengths and angle, after transformation.

Assume two sides of a triangle are:

[tex]AB = 5cm[/tex]

[tex]BC = 4cm[/tex]

And the angle between the two sides is:

[tex]\theta = 90^o[/tex]

When the triangle is transformed by a rigid transformation (such as translation, rotation or reflection), the corresponding side lengths and angle would be:

[tex]A'B' = 5cm[/tex]

[tex]B'C' = 4cm[/tex]

[tex]\theta = 90^o[/tex]

Notice that the sides and angles do not change.

Hence, rigid transformation justifies the SAS congruence theorem by keeping the side lengths and angle, after transformation.

See attachment for the illustration of rigid transformation.

Read more about rigid transformations at:

https://brainly.com/question/1761538

Ver imagen MrRoyal