6. The following triangles are congruent by the
SSS Postulate.
•If m∠B=2x−5 and
m∠Y=3x−65, what
is the exact
measure of ∠B?
7. Since the two triangles are congruent, we
know via CPCTC that:
•Through the SSS postulate….
•∠A≅∠X
•∠B≅∠Y
•∠C≅∠Z
8. We need an equation to solve for the value of x.
From CPCTC, ∠B and ∠Y are congruent or equal in
measure, then we set both expressions equal to
each other.
•m∠B=m∠Y
•2x−5=3x−65
•65−5=3x−2x
•x=60
9. Use CPCTC in proofs only after showing that
two triangles are congruent.
10. If both triangles ABC and PQR are said to be
congruent, then ∠BAC is congruent to which
angle?
11. Objectives
•At the end of this lesson, you should be
able to write two-column proofs
involving congruent triangles.