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Congruent triangles have 3 congruent sides and 3 congruent angles. The parts of congruent triangles that “match” are called corresponding parts.

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Presentation on theme: "Congruent triangles have 3 congruent sides and 3 congruent angles. The parts of congruent triangles that “match” are called corresponding parts."— Presentation transcript:

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2 Congruent triangles have 3 congruent sides and 3 congruent angles. The parts of congruent triangles that “match” are called corresponding parts.

3 In a congruence statement ORDER MATTERS!!!! Everything matches up.

4 Corresponding Parts of Congruent Triangles are Congruent

5 Complete each congruence statement. C A E D B F If  ABC   DEF, then BC  ___ EF

6 Complete each congruence statement. C A E D B F If  ABC   DEF, then  A  ___ DD

7 Complete each congruence statement. C A E D B F If  ABC   DEF, then  C  ___ FF

8 Fill in the blanks If  CAT   DOG, then AC  ___ OD

9 Fill in the blanks  BAT   MON  T  ___ _____   ONM _____  MO NM  ____ NN  ATB BA TB

10 Fill in the blanks  BCA   ____  ____   GFE EGF CAB

11 Complete the congruence statement.  _____   JKN MKL

12 Complete the congruence statement.  _____   CBD ABD

13 There are 5 ways to prove triangles congruent (4.1 – 4.8).

14 Side-Side-Side (SSS) Congruence Postulate All Three sides in one triangle are congruent to all three sides in the other triangle

15 Side-Angle-Side (SAS) Congruence Postulate Two sides and the INCLUDED angle (the angle is in between the 2 marked sides)

16 Angle-Angle-Side (AAS) Congruence Postulate Two Angles and One Side that is NOT included

17 Angle-Side-Angle (ASA) Congruence Postulate Two angles and the INCLUDED side (the side is in between the 2 marked angles)

18 There is one more way to prove triangles congruent, but it’s only for RIGHT TRIANGLES…Hypotenuse Leg

19 Your Only Ways To Prove Triangles Are Congruent NO BAD WORDS

20 2 markings you can add if they aren’t marked already

21 Share a side Reason: reflexive property Vertical Angles Reason: Vertical Angles are congruent

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23 Homework WS #1 – 12


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