5.5 Proving Triangle Congruence by SSS OBJ: Students will be able to use Side-Side-Side (SSS) Congruence Theorem and Hypotenuse-Leg (HL) Congruence Theorem.

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Presentation transcript:

5.5 Proving Triangle Congruence by SSS OBJ: Students will be able to use Side-Side-Side (SSS) Congruence Theorem and Hypotenuse-Leg (HL) Congruence Theorem.

Do Now 2. a) Find b) Find the value of x.

Side-Angle-Side (SSS) Congruence Theorem If 3 sides of one triangle are congruent to 3 sides of another triangle, then they are congruent

Remember! Adjacent triangles share a side, so you can apply the Reflexive Property

Example 1: Use SSS to explain why ∆ABC  ∆CDA.

Example 2: Determine if the triangles are congruent. Explain your reasoning.

Terms: Hypotenuse: side opposite the right angle Legs: In a right triangle, the adjacent sides to the right angle

HL (Hypotenuse 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 use HL ?

Example 4: Show the two angles are congruent.