GEOMETRY HELP One student wrote “ CPA MPA by SAS” for the diagram below. Is the student correct? Explain. There are two pairs of congruent sides and one.

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GEOMETRY HELP One student wrote “ CPA MPA by SAS” for the diagram below. Is the student correct? Explain. There are two pairs of congruent sides and one pair of congruent angles, but the congruent angles are not included between the corresponding congruent sides. The triangles are not congruent by the SAS Postulate, but they are congruent by the HL Theorem. The diagram shows the following congruent parts. CA MA  CPA  MPA PA Congruence in Right Triangles LESSON 4-6 Additional Examples Quick Check

GEOMETRY HELP XYZ is isosceles. From vertex X, a perpendicular is drawn to YZ, intersecting YZ at point M. Explain why XMY XMZ. Congruence in Right Triangles LESSON 4-6 Additional Examples Quick Check

GEOMETRY HELP Write a two–column proof. Given:  ABC and  DCB are right angles, AC DB Prove: ABC DCB StatementsReasons 3. AC DB3. Given 4. BC CB 4. Reflexive Property of Congruence 5. ABC DCB 5. If the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and a leg of another right triangle, then the triangles are congruent. (HL Theorem). Quick Check Congruence in Right Triangles LESSON 4-6 Additional Examples 1.  ABC and  DCB are 1. Given right angles. 2. ABC and DCB are 2. Definition of a right triangle right triangles.