Math 8 Q3-L3.4-Right-Triangle-Congruence.pptx

Math 8 3rd Quarter lesson 3.4: RIGHT TRIANGLE CONGRUENCE

1. Lesson 3.4: Right Triangle Congruence

2. Hypotenuse – longest side and always the side opposite the right angle leg leg hypotenuse right angle acute angle acute angle RIGHT TRIANGLE

3. LL Congruence Theorem If the legs of one right triangle are congruent to the legs of another right triangle, then the triangles are congruent.

4. If , , then ∆ ABC≅∆DEF by LL Theorem  

5. LA Congruence Theorem If a leg and an acute angle of one right triangle are congruent to a leg and an acute angle of another right triangle, then the triangles are congruent.

6. If , ∠A≅∠D , then ∆ ABC≅∆DEF by LA Theorem  

7. HyL Congruence Theorem If the hypotenuse and a leg of one right triangle are congruent to the corresponding hypotenuse and a leg of another triangle, then the triangles are congruent.

8. If , , then ∆ ABC≅∆DEF by HyL Theorem  

9. HyA Congruence Theorem If the hypotenuse and an acute angle of one right triangle are congruent to the corresponding hypotenuse and an acute angle of another right triangle, then the triangles are congruent.

10. If ∠B≅∠E , , then ∆ ABC≅∆DEF by HyA Theorem  

11. SEATWORK #1: Show that the two triangles are congruent by writing a conditional statement of correspondence. 2. 1. B A T M E N

12. 4. 3. 5. K I M J U N P E T A C