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One student wrote “ CPA MPA by SAS” for the diagram below. Is the student correct? Explain.

The diagram shows the following congruent parts. CA MA  CPA  MPA PA PA. Congruence in Right Triangles. LESSON 4-6. Additional Examples. One student wrote “ CPA MPA by SAS” for the diagram below. Is the student correct? Explain.

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One student wrote “ CPA MPA by SAS” for the diagram below. Is the student correct? Explain.

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  1. The diagram shows the following congruent parts. CAMA CPAMPA PAPA Congruence in Right Triangles LESSON 4-6 Additional Examples One student wrote “ CPAMPA 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. Quick Check

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

  3. 2. ABC and DCB are 2. Definition of a right triangle right triangles. 3. ACDB3. Given 4. BCCB4. Reflexive Property of Congruence 5. ABCDCB5. 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). Congruence in Right Triangles LESSON 4-6 Additional Examples Quick Check Write a two–column proof. Given: ABC and DCB are right angles, ACDB Prove: ABCDCB Statements Reasons 1. ABC and  DCB are 1. Given right angles.

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