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Warm-Up
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Day 13 - Triangle Congruence Postulates
SWBAT to prove triangles are congruent using SSS, SAS, ASA, AAS and HL
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Mini-Assessment #3 Date: Thursday 10/31 (Periods 2, 4) or Friday 11/01 (Periods 1, 3) Covers: Day 10A – Pythagorean Theorem Day 10B – Similar Right Triangles / Geometric Mean Day 11 – Parallel Lines & Transversals (Corresponding Angles, Alternate Interior Angles, Alternate Exterior Angles, Same Side Interior Angles, etc) Day 12 – Isosceles Triangle, Exterior Angle, Triangle Sum
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Polygon Exterior Angle-Sum Theorem
The of the measures of the exterior angles of a polygon, one at each vertex, is 360. sum
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Find the measures of the exterior angles.
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Informal Geometry 12/7/2018 Congruent Triangles 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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ORDER MATTERS!!!! In a congruence statement Everything matches up.
Informal Geometry 12/7/2018 Congruence Statement In a congruence statement ORDER MATTERS!!!! Everything matches up.
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Corresponding Parts of Congruent Triangles are Congruent
CPCTC Corresponding Parts of Congruent Triangles are Congruent
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Complete each congruence statement.
B If ABC DEF, then BC ___ EF A C D F E
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Complete each congruence statement.
B If ABC DEF, then A ___ D A C D F E
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Complete each congruence statement.
B If ABC DEF, then C ___ F A C D F E
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Fill in the blanks If CAT DOG, then AC ___ OD
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BAT MON N T ___ _____ ONM _____ MO ATB NM ____ BA TB
Fill in the blanks BAT MON N T ___ _____ ONM _____ MO NM ____ ATB BA TB
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Fill in the blanks BCA ____ ____ GFE EGF CAB
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Complete the congruence statement.
MKL _____ JKN
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Complete the congruence statement.
ABD _____ CBD
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There are 5 ways to prove triangles congruent.
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Side-Side-Side (SSS) Congruence Postulate
All Three sides in one triangle are congruent to the three sides in the other triangle
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Side-Angle-Side (SAS) Congruence Postulate
Two sides and the INCLUDED angle of one triangle are congruent to two sides and the included angle of a second triangle.
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Angle-Side-Angle (ASA) Congruence Postulate
Two angles and the INCLUDED side (the side is in between the 2 marked angles)
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Two Angles and One Side that is NOT included
Angle-Angle-Side (AAS) Congruence Postulate A S A S Two Angles and One Side that is NOT included
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There is one more way to prove triangles congruent, but it’s only for RIGHT TRIANGLES…Hypotenuse Leg
HL
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Your Only Ways To Prove Triangles Are Congruent
SSS SAS ASA AAS HL NO BAD WORDS Your Only Ways To Prove Triangles Are Congruent
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2 markings you can add if they aren’t marked already
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Reason: reflexive property
Share a side Reason: reflexive property Vertical Angles Reason: Vertical Angles are congruent
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CW: Practice Worksheet #1 – 9
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Homework WS #1 – 12
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