Congruent Triangles

Two triangles Δ A B C and Δ P Q R are shown below, where ∠ B A C = 2 x − 4 then determine the value of x .

Are the two triangles congruent? If yes, which postulate?

What is the value of x?

What is the value of x?

Are the two tringles congruent? If yes, by what theorem?

What is the value of x?

What is the measure of angles M?

The _____ postulate states that if three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.

What is x?

What is the value of x?

The _____ postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.

If an Isosceles triangle has base angles of 76°. Then what is the measure of the vertex angle?

What is x?

Angles A and D are right angles. If AB = DF and AC = DE, are these triangles congruent? If yes, by what theorem?

If two sides of a triangle are congruent, then the _________________ opposite those sides are congruent.

The _____ postulate states that if if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.