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2.11 – SSS, SAS, SSA

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If you were given three side lengths of a triangle, can you create two different triangles? _________ no

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**congruent congruent Side-Side-Side (SSS) Congruence Postulate**

Side-Side-Side (SSS) Congruence Postulate If 3 sides of one triangle are _____________ to three sides of a second triangle, then the two triangles are ________________. congruent congruent

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**Angle formed where two sides meet**

Included Angle: Angle formed where two sides meet

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**Use the diagram to name the included angle between the given pair of sides.**

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**1. Use the diagram to name the included angle between the given pair of sides.**

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**1. Use the diagram to name the included angle between the given pair of sides.**

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If you were given two side lengths and the included angle measure, can you create two different triangles? ___________ no

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SAS Congruence included If two sides and the _____________ angle of one triangle are __________ to two sides and the included angle of a second triangle, then the two triangles are ____________ congruent congruent

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**There is no ASS in geometry!**

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If you were given two side lengths and the angle not included, can you create two different triangles? _______ yes

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**Ex 1: Decide whether the triangles are congruent**

Ex 1: Decide whether the triangles are congruent. Explain your reasoning. a. ____________________

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**b. ____________________**

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**c. ____________________**

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**Δ______ ≅ Δ_______ by ____________**

Ex 2: Mark the picture using vertical angles or reflexive property. Then complete the congruence statement or state that there is not enough information. Δ______ ≅ Δ_______ by ____________

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**Δ______ ≅ Δ_______ by ____________**

Mark the picture using vertical angles or reflexive property. Then complete the congruence statement or state that there is not enough information. Δ______ ≅ Δ_______ by ____________

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**Δ______ ≅ Δ_______ by ____________**

Mark the picture using vertical angles or reflexive property. Then complete the congruence statement or state that there is not enough information. Δ______ ≅ Δ_______ by ____________

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Ex 3: Mark the picture with the given information and add marks for vertical angles or reflexive property, if needed. Then complete the congruence statement or state that there is not enough information.

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a.

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b.

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c.

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e.

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