How does the criteria for triangle congruence (ASA, SAS, and SSS) follow from the definition of congruence in terms of rigid mot

Question

Nana76 [90]

3 years ago

14

How does the criteria for triangle congruence (ASA, SAS, and SSS) follow from the definition of congruence in terms of rigid mot

ions?

Mathematics

2 answers:

andrew11 [14] · Answer 1 · 2022-04-23T12:32:11+03:00

<h2>Answer with explanation:</h2>

A rigid motion is a transformation of a figure which does not change shape and the size of the original figure.

i.e. It preserves the side-length and measure of interior angles of a figure.

Thus , if we use rigid motions to transform a triangle then all the corresponding side-lengths and measure of interior angles of a figure remains exactly same.

That' how ,the criteria for triangle congruence (ASA, SAS, and SSS) directly follow from the definition of congruence in terms of rigid motions.

Contact [7] · Answer 2 · 2022-04-23T10:44:56+03:00

Contact [7]3 years ago

3 0

Congruence triangles have the same size and shape
Rigid motion keeps the same distance between the points that are transformed
A rigid motion can be sliding,rotating, or flipping
SAS-2 corresponding sides+2 corresponding angles that are congruent.
hopefully this helps :3