WarmUp 3 Exercises EXAMPLE Use the HypotenuseLeg Congruence
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Warm-Up 3 Exercises EXAMPLE Use the Hypotenuse-Leg Congruence Theorem Write a proof. GIVEN PROVE WY XZ, WZ ZY, XY ZY 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.
Warm-Up 3 Exercises EXAMPLE Use the Hypotenuse-Leg Congruence Theorem STATEMENTS 1. WY REASONS 1. Given XZ 2. WZ ZY, XY ZY 3. 4. lines Z and Y are right angles WYZ and XZY are 4. Definition of a right triangles. L 5. ZY 6. 2. Given 3. Definition of WYZ 5. Reflexive Property of Congruence YZ XZY 6. HL Congruence Theorem
Warm-Up Exercises GUIDED PRACTICE for Examples 3 and 4 Use the diagram at the right. 3. Redraw ACB and DBC side by side with corresponding parts in the same position.
Warm-Up Exercises GUIDED PRACTICE for Examples 3 and 4 STATEMENTS REASONS L 5. BC 5. Reflexive Property of Congruence 6. ACB CB DBC 6. HL Congruence Theorem
Warm-Up Exercises GUIDED PRACTICE for Examples 3 and 4 Use the diagram at the right. 4. Use the information in the diagram to ACB DBC prove that STATEMENTS 1. AC DB 2. AB BC, CD BC REASONS 1. Given 2. Given 3. Definition of 3. C 4. ACB and DBC are 4. Definition of a right triangles. B lines
Daily Homework Quiz Warm-Up Exercises Is there enough given information to prove the triangles congruent? If there is, state the postulate or theorem. FGH, HJK 2. ANSWER HL Thm.
