Ll congruence theorem and LA congruence theorem

LL- If the two legs of a right triangle are congruent to the two legs of another triangle, then the triangles are congruent.
LA-If the leg and an acute angle of one right triangle are congruent to the corresponding leg and an acute angle of another right triangle, then the right triangles are congruent.

1. LL Congruence theorem and LA Congruence Theorem Elton John B. Embodo

2. Statement of the aim Identify whether triangles are congruent through LL Congruence theorem or LA Congruence theorem; Give additional congruent parts to complete the proof for congruent triangles; Prove that the triangles are congruent by using LL Congruence theorem and LA Congruence theorem.

3. For Group 1 and group 2 For group 3 and group 4 Draw a horizontal line having a length 10cm and name it as . Draw a vertical line perpendicular to having a length 12cm and name it as . Connect the Point A and Point S to form a right triangle name . Draw a right triangle and name it as . Make sure that is the right angle. measures 10cm. Using a protractor, make sure that measures 45 degrees. Do the following in your group

4. Figures of group 1 and 2

5. Figures of Group 3 and Group 4

6. Ll congruence theorem If the legs of one right triangle are congruent to the legs of another triangle, then the two triangles are congruent. If and are right angles, and then .

7. 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 triangle, then the triangles are congruent. If and are right triangles, and then .

8. Directions: Give additional congruent parts to complete the proof for congruent triangles through LL Congruence theorem or LA Congruence theorem. State the congruence that possibly prove them. 1. 2.

9. 3. 4.

10. assignment Directions: Prove the following pairs of triangles by using LL Congruence Theorem and LA Congruence Theorem. Prove that through LL and LA Congruence theorem.