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GEOMETRY Unit 3, Triangles
Name ________________________
Notes 5-3, Congruent Triangles
Date __________ Period _________
5-3, Congruent Triangles
Definition of Congruent Triangles –

When identifying the corresponding parts of congruent triangles, you need to look for the
same congruent markings.
o
For congruent segments, _____________________________________
o
For congruent angles, ________________________________________
1.
a. List the pairs of congruent angles for the triangles ___________________________
b. List the pairs of congruent sides for the triangles ____________________________
c. Since the sides and angles of the triangles are congruent, we write ________________
2.
a. List the pairs of congruent angles for the triangles __________________________
b. List the pairs of congruent sides for the triangles ___________________________
c. Since the sides and angles of the triangles are congruent, we write ________________
Geometry
Unit 3 – Congruent Triangles
* Remember: The way to write the congruence of the triangles is to have the congruent
angles listed in ____________________ order in the triangles names.
3.
a. List the pairs of congruent angles for the triangles __________________________
b. List the pairs of congruent sides for the triangles ___________________________
c. Since the sides and angles of the triangles are congruent, we write ____________
4.
a. List the pairs of congruent angles for the triangles __________________________
b. List the pairs of congruent sides for the triangles ___________________________
c. Since the sides and angles of the triangles are congruent, we write ________________
2
Geometry
5.
Unit 3 – Congruent Triangles
Given: C is the midpoint of AE
C is the midpoint of BD
a. List the pairs of congruent angles for the triangles __________________________
b. List the pairs of congruent sides for the triangles ___________________________
c. Since the sides and angles of the triangles are congruent, we write ________________
6.
Given:
BM is a  bisector to AC
BM bisects ABC
a. List the pairs of congruent angles for the triangles __________________________
b. List the pairs of congruent sides for the triangles ___________________________
c. Since the sides and angles of the triangles are congruent, we write ________________
3
Geometry
7.
Given:
Unit 3 – Congruent Triangles
AC bisects BAD
AC bisects BCD
a. List the pairs of congruent angles for the triangles __________________________
b. List the pairs of congruent sides for the triangles ___________________________
c. Since the sides and angles of the triangles are congruent, we write ________________
4