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4.2: Triangle Congruency by SSS and SAS
Objectives: Students will be able to… Prove two triangles congruent using the SSS and SAS Postulates.
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Side-Side-Side (SSS)Postulate
If 3 sides of one triangle are to 3 sides of another triangle, then the triangles are . (Notice the order in which the congruency statement is given)
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What else do we know is congruent? Which two triangles are congruent?
B C A D What else do we know is congruent? Which two triangles are congruent? 3. How do you know?
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Included Angles and Sides
is included between Angle B and Angle X is included between NB and NX. B X Which side is included between angle N and angle B? Which angle is included between BX and NX?
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Side-Angle-Side (SAS) Postulate
If 2 sides and the included angle of one triangle are to 2 sides and the included angle of another triangle, then the 2 triangles are Side-Angle-Side (SAS) Postulate Again, notice the order of the congruency statement.
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Name the triangle congruence postulate, if any, that you can use to prove each pair of triangles congruent. Then write a congruency statement. K L Q P O M N 3. J M N A S R P C
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1. What other information do you need to prove by SSS?
7 A B 6 8 C D 7 2. From the information given, can you prove ? Explain. D E B A C
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