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Triangle Congruence Proofs Examples. If i made a typo, please let me know. Explain using geometry concepts and theorems:

The following example requires that you use the sas property to prove that a triangle is congruent. A triangle is said to be congruent to each other if two sides and the included angle of one triangle is equal to the sides and included angle of the other triangle. Proofs involving isosceles triangles often require special consideration because an isosceles triangle has several distinct properties that do not apply to normal triangles.

(more about triangle types) therefore, when you are trying to prove that two triangles are congruent, and one or both triangles, are isosceles you have a few theorems that you can use to make your life easier.

The hypotenuse of a right triangle is the longest side. Hence, the congruence of triangles can be evaluated by knowing only three values out of six. If the hypotenuse and one leg of a right triangle are equal to the hypotenuse and one leg of another right triangle, then the two right triangles are congruent. Congruent triangle proofs (part 3) you have seen how to use sss and asa, but there are actually several other ways to show that two triangles are congruent. What about the others like ssa or ass. Sal proves that a point is the midpoint of a segment using triangle congruence.