Which of the following theorems is used only to prove the congruence of two right triangles?

True or False: The SAS Theorem, ASA Theorem, SSS Theorem, and AA Theorem are all theorems that prove triangles to be congruent.

Fill in the blanks to the proof below. We are proving that the base angles of isosceles triangles, , are congruent. This is a proof of the isosceles triangle theorem.

Consider the following theorem: If two triangles have two pairs of congruent corresponding sides and their included angle is congruent, then these two triangles are congruent. When proving this theorem, what information do we assume to begin the proof?

Which of the following is the altitude rule?

What is the first step to any proof?

Prove that if one side of a triangle is longer than another side of the same triangle, then the angle opposite the longer side will be greater than the angle opposite the shorter side. Use the information that for triangle .

True or False: The Base Angles Converse states that if two base angles are congruent, then their opposite sides are congruent.

The triangle inequality theorem states that if you have a triangle then

Fill in the blanks for the proof of the theorem below using triangle

To begin this proof we first must let there exist the triangle , where the length of and is a shared side between the two triangles.

Fill in the blanks below to complete the proof for the HL Theorem. Use the figure below to find the given information.