![]() SAS, SSS, AAS and HL (Hypotenuse Leg)) follow from the definition of congruence in terms of rigid. If the hypotenuse and an acute angle of a right triangle are congruent to the hypotenuse and an acute angle of another right triangle, then the two triangles are congruent. 8 Explain how the criteria for triangle congruence (ASA. If a leg and an acute angle of one right triangle are congruent to the corresponding parts of another right triangle, then the two right triangles are congruent. If the hypotenuse and one leg of a right triangle are equal to the hypotenuse and one leg of another right triangle, then the two right triangles are congruent. If two angles and non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle, then the two triangles are congruent. Angle-Angle-Side (AAS) Congruence Postulate If two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the two triangles are congruent.Ĥ. Angle-Side-Angle (ASA) Congruence Postulate If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the two triangles are congruent.ģ. 30-60-90 triangles 30-60-90 triangles are right triangles whose acute angles are 30\circ 30 and 60\circ 60. The ratios come straight from the Pythagorean theorem. Side-Angle-Side (SAS) Congruence Postulate Google Classroom Learn shortcut ratios for the side lengths of two common right triangles: 45-45-90 and 30-60-90 triangles. If three sides of one triangle is congruent to three sides of another triangle, then the two triangles are congruent.Ģ. Side-Side-Side (SSS) Congruence Postulate Other Triangle Congruence Postulates and Theoremsġ. Hence, the two triangles ABC and CDE are congruent by Leg-Leg theorem. ![]() (i) Triangle ABC and triangle CDE are right triangles.
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