4.4 – Prove Triangles Congruent by
SAS and HL
Consider a relationship involving two sides, and the
angle they form, their included angle.
Any time you form an angle of the same measure
with the pencils, the side formed by connecting the
pencil points will have the same length. In fact, any
two triangles formed in this way are congruent.
4.4 – Prove Triangles Congruent by
SAS and HL
4.4 – Prove Triangles Congruent by
SAS and HL
Example 1:
Write a proof.
4.4 – Prove Triangles Congruent by
SAS and HL
Example 2:
Decide if there is enough info to prove the two
triangles congruent by SAS.
4.4 – Prove Triangles Congruent by
SAS and HL
In a right triangle, the sides adjacent to the
right angle are called the legs. The side
opposite the right angle is called the
hypotenuse of the right triangle.
4.4 – Prove Triangles Congruent by
SAS and HL
4.4 – Prove Triangles Congruent by
SAS and HL
Example 3:
Decide if there is enough information to prove
the triangles congruent. If so, state what
theorem does so.