Objective: (same as Day 3)
GA QCC: #16
Lesson: Triangle Congruence (HL)
NAME: ___________________________
1. In previous days' lessons on congruence of triangles, the postulates/theorems applied to any type of triangles. Can you list all 4 of the postulates/theorems?
___________________________________________________
2. There is one more postulate/theorem to prove congruence of triangles, but it only applies to right triangles:
HL: Hypotenuse-Leg Triangle (Congruence) Theorem
It says that if the hypotenuse and a leg of a right triangle are congruent to the hypotenuse and the corresponding leg of a second right triangle, then the 2 triangles are congruent. Notice in the triangles below that the 2 triangles are congruent by the HL Theorem. (It can be shown by a 15 step geometry proof or by the Pythagorean Theorem that will be covered later in this instructional block.)
3. In the following figure, what postulate/theorem would you use to prove the triangles are congruent?__________________
Why?___________________________________________________________
4. In the following figure, what postulate/theorem would you use to prove the triangles are congruent? ____________________
Why?___________________________________________________________
5. What additional congruence (of parts of triangles) in the figure below would you need to know in order to show that the triangles are congruent by the indicated method?
5a. SAS: _______________________________________
5b. AAS: _______________________________________
5c. ASA: _______________________________________
5d. HL: ________________________________________