Prove Isosceles Triangle

Which of the following is a correct statement and reason for the proof shown?

For isosceles triangles, when we are given that two sides are congruent we can prove that ______________________.

• two angles are congruent

• the third side is congruent

• three angles are congruent

• no other relationships exist

Fill in statement #4.

When we are given two angles of a triangle are congruent, we can prove ____________________.

• three sides are congruent

• two sides are congruent

• three angles are congruent

• no other relationships exist

In order to prove relationships in an isosceles triangle, we must __________________________.

• use AAS to prove it is congruent to another triangle

• split the triangle into one acute and one obtuse triangle

• divide the triangle into two right triangles

• use two angle bisectors

Fill in statement #3.

Fill in reason .

• Symmetric Property

• CPCTC

• Transitive Property

• Reflexive Property

Fill in reason #4.

• ASA

• HL

• SSA

• SAS

Fill in reason .

• Prove

• Base angles of an isosceles triangle are congruent.

• CPCTC

• definition of angle bisector

• 56

• 62

• 68

• 112