Congruent Triangle Vocabulary

Triangle that has three congruent angles

• Straight Angle

• Right Triangle

• Isosceles Triangle

• Equiangular Triangle

• Equilateral
• Isosceles
• Scalene
• Acute

Triangle that has two congruent sides

• Isosceles Triangle

• Scalene Triangle

• Acute Triangle

• Obtuse Triangle

Triangle that has three congruent sides

• Equilateral Triangle

• Acute Triangle

• Equiangular Triangle

• Exterior Angle

• isosceles triangle
• scalene triangle
• right triangle
• equilateral triangle

• isosceles triangle
• right trianlge
• scalene triangle
• equilateral triangle

If two pair of corresponding angles in a pair of triangles are congruent, then the triangles are similar.

• Exterior Angle Theorem

• Angle Angle Criterion(AA)

• Angle, Side, Angle Theorem (ASA)

• Side, Side, Side Theorem (SSS)

When three sides of a triangle are congruent to the corresponding sides of another triangle, the triangles are said to be congruent.

• SSS Congruence

• SAS Congruence

• ASA Congruence

• AAS Congruence

When two angles and the included side of a triangle are congruent to two angles and the included side of another triangle, the triangles are said to be congruent.

• SSS

• SAS

• ASA

• AAS

If the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and leg of another right triangle, the triangles are congruent.

• SSS

• SAS

• AAA

• HL