EXAMPLE 3 Use the Hypotenuse-Leg Congruence Theorem Write a proof.

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Presentation transcript:

EXAMPLE 3 Use the Hypotenuse-Leg Congruence Theorem Write a proof. GIVEN WY XZ, WZ ZY, XY ZY PROVE WYZ XZY SOLUTION Redraw the triangles so they are side by side with corresponding parts in the same position. Mark the given information in the diagram.

EXAMPLE 3 Use the Hypotenuse-Leg Congruence Theorem STATEMENTS REASONS WY XZ Given WZ ZY, XY ZY Given Definition of lines Z and Y are right angles Definition of a right triangle WYZ and XZY are right triangles. L ZY YZ Reflexive Property of Congruence WYZ XZY HL Congruence Theorem

GUIDED PRACTICE for Examples 3 and 4 Use the diagram at the right. Redraw ACB and DBC side by side with corresponding parts in the same position.

GUIDED PRACTICE for Examples 3 and 4 STATEMENTS REASONS L BC CB Reflexive Property of Congruence ACB DBC HL Congruence Theorem

GUIDED PRACTICE for Examples 3 and 4 Use the diagram at the right. Use the information in the diagram to prove that ACB DBC STATEMENTS REASONS AC DB Given AB BC, CD BC Given Definition of lines C B Definition of a right triangle ACB and DBC are right triangles.

Daily Homework Quiz Is there enough given information to prove the triangles congruent? If there is, state the postulate or theorem. 2. FGH, HJK ANSWER HL Thm.