2.11 – SSS, SAS, SSA.

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Presentation transcript:

2.11 – SSS, SAS, SSA

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

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

Angle formed where two sides meet Included Angle: Angle formed where two sides meet

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

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

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

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

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

There is no ASS in geometry!

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

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

b. ____________________

c. ____________________

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 ____________

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 ____________

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 ____________

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.

a.

b.

c.

d.

e.