Correspondence and Congruence 4-2A

What is a correspondence?

What are congruent triangles?

Consider page 256

Congruent figures can be slid, flipped and turned until they overlap exactly.

The Right MatchLook at the two triangles below the

Consider, page 256. Use a protractor and ruler to list all of the angles and segments that are congruent.

Identify the vertices of the two triangles that match up with one another.

∆ABC ∆___. What does the order of the letters tell you about the congruent parts of the triangle?

Try It Write a congruence statement for the

triangles shown on page 257.

TUSMNO

Definitions• A correspondence between two geometric

figures is any way of pairing up their vertices.• A congruence correspondence matches

the vertices so that all pairs of corresponding parts are congruent.

Corresponds to

The corresponds to symbol is

The order of the letters in the correspondence statement specifies the corresponding sides and corresponding angles.

RSTABC

Corresponding sides and angles

Corresponding AnglesRA

Corresponding sides

A B

C

R S

T

SB TC AB RS

BC ST

AC RT

DefinitionTwo triangles are congruent triangles

if and only if all of their corresponding parts are congruent.

• What is a correspondence?A way of pairing the vertices and /or sides of a

geometric figure.

• What are congruent triangles?Two triangles whose vertices match and whose

sides match.

Assignment 4-2APage 258, 1-16, 31-34