Triangle Congruence, Triangle Congruence Practice

AEB ≅ CED by SAS

Congruence? how?

Side Angle Side

Congruence? how?

ABC ≅ AED by SSS

Congruence? how?

ABC ≅ DEF by ASA

Congruence? how?

HL

congruence? how?

ABC ≅ DEF by AAS

congruence? how?

Angle Angle Side

congruence? how?

ADT ≅ EDT by SSS

congruence? how?

ABC ≅ XYZ by SAS

congruence? how?

CAB ≅ ZYX by AAS

congruence? how?

Hypotenuse Leg

congruence? how?

not enough information

congruence? how?

CPCTC

Corresponding parts of congruent triangles are congruent.

Congruent Figures

Figures that have the same size and shape.

Congruent Triangles

Triangles where all three angles and all three sides are congruent. The equal sides and angles may not be in the same position (if there is a reflection or rotation)

Equilateral

A triangle whose sides are all congruent

Equiangular

A triangle whose angles are all congruent

Isosceles triangle

A triangle with 2 congruent sides and 2 congruent angles.

Not congruent - SSA

Congruence? How?

Not congruent - AAA

Congruence? How?