Triangle Congruence Review

If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.

• Side-Side-Side (SSS) Congruence Postulate
• Angle-Angle-Side (AAS) Congruence Theorem
• Side-Angle-Side (SAS) Congruence Postulate
• Angle-Side-Angle (ASA) Congruence Postulate

If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.

• Side-Side-Side (SSS) Congruence Postulate
• Angle-Angle-Side (AAS) Congruence Theorem
• Side-Angle-Side (SAS) Congruence Postulate
• Angle-Side-Angle (ASA) Congruence Postulate

Tags

CCSS.HSG.SRT.B.5

If two angles and the nonincluded side of one triangle are congruent to the corresponding angles and the nonincluded side of another triangle, then the triangles are congruent.

• Side-Side-Side (SSS) Congruence Postulate
• Angle-Angle-Side (AAS) Congruence Theorem
• Side-Angle-Side (SAS) Congruence Postulate
• Angle-Side-Angle (ASA) Congruence Postulate

Tags

CCSS.HSG.SRT.B.5

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

• Side-Side-Angle (SSA) Congruence Postulate
• Hypotenuse-Leg (HL) Congruence Theorem
• Angle-Side-Angle (ASA) Congruence Postulate
• Side-Side-Side (SSS) Congruence Postulate

Tags

CCSS.HSG.SRT.B.5

If three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.

• Side-Side-Side (SSS) Congruence Postulate
• Angle-Angle-Angle (AAA) Congruence Postulate
• Side-Angle-Side (SAS) Congruence Postulate
• Side-Side-Angle (SSA) Congruence Postulate

The Triangle Sum Theorem states that the sum of the angles of a triangle equal how many degrees?

• 90
• 30
• 150
• 180

Tags

CCSS.8.G.A.5

If two sides of a triangle are congruent, then the angles opposite the sides are congruent.

• Isosceles Triangle Theorem
• Converse of the Isosceles Theorem
• Exterior Angles Theorem
• Converse of the Equilateral Corollary

The measure of an exterior angle of a triangle is equal to the sum of the measures of its remote interior angles.
m∠4 = m∠1 + m∠2

• Triangle Sum Theorem
• Exterior Angle Theorem
• Third Angles Theorem
• Congruent Triangles Theorem

The measure of each angle of an equiangular triangle is 

• complementary
• supplementary
• 60°
• 45°

If two angles of one triangle are congruent to two angles of another triangle, then the third pair of angles are congruent.

• Triangles Sum Theorem
• Third Angles Theorem
• AAA
• CPCTC