Triangle Congruence

It is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices.

• Triangle

• Angle

• Square

• Polygon

Name the corresponding angle or side.

• A

• B

• C

• D

All three corresponding sides are equal and all the three corresponding angles are equal in measure.

• Equal

• Congrence of Triangles

• Triangles

• Parallel Triangles

Two triangles are congruent if two angles and the included side of one triangle are equal to the two sides and the included angle of the other triangle.

• SSS Congruence

• SAS Congruence

• AAA Congruence

• ASA Congruence

Two triangles have two pairs of congruent sides and the included angle.

• SSS

• SAS

• AAS

• ASA

The sides that are in the same position in any different 2-dimensional shapes.

• Corresponding Sides

• Vertical Sides

• Opposite Sides

• Side by Side

The triangles shown are congruent. Which of the following statements must be true?

• ∠A ≅ ∠D

• ∠B ≅ ∠E

• BC ≅ FD

• AB ≅ DE

The two triangles are congruent as suggested by their appearance. Find the value of c.

• 38

• 3

• 4

• 5

If ∆ABC ≅∆XYZ, find the value of variable x.

• 15

• 45

• 90

• 3

If ∆ABC ≅ ∆ADC, find m ∠BAC.

• 10

• 20

• 30

• 40