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5.5 Proving Triangle 5.5 Proving Triangle Congruence by SSSCongruence by SSSOBJ: Students will be able to use Side-Side-Side (SSS) Congruence Theorem and Hypotenuse-Leg (HL) Congruence Theorem.
Do NowDo Now
2.
a) Find b) Find the value of x.
A
Side-Angle-Side (SSS) Congruence Side-Angle-Side (SSS) Congruence TheoremTheorem If 3 sides of one triangle are congruent to 3 sides of another triangle, then they are congruent
Remember!Remember!Adjacent triangles share a side, so you can apply the Reflexive Property
Example 1: Use SSS to explain why Example 1: Use SSS to explain why ∆∆ABCABC ∆ ∆CDACDA..
Example 2: Determine if the Example 2: Determine if the triangles are congruent. triangles are congruent. Explain your reasoning. Explain your reasoning.
Terms:Terms:Hypotenuse: side opposite the
right angleLegs: In a right triangle, the
adjacent sides to the right angle
HL (Hypotenuse HL (Hypotenuse Leg)Leg)
If the hypotenuse and a leg of a
right triangle are congruent to the hypotenuse and a leg of another right triangle, then they are
congruent.
Example 3: Can you Example 3: Can you use HL ?use HL ?
Example 4: Show Example 4: Show the two angles are the two angles are
congruent.congruent.