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Proving Triangles Congruent
Angle-Side- Angle (ASA) 1. A D 2. AB DE 3. B E ABC DEF B A C E D F included side
The side between two angles Included Side GI HI GH
Name the included angle: Y and E E and S S and Y Included Side SY E YE ES SY
Angle-Angle-Side (AAS) 1. A D 2. B E 3. BC EF ABC DEF B A C E D F Non-included side
Warning: No SSA Postulate A C B D E F NOT CONGRUENT There is no such thing as an SSA postulate!
Warning: No AAA Postulate A C B D E F There is no such thing as an AAA postulate! NOT CONGRUENT
Hypotenuse Leg (HL) If the hypotenuse and a leg of a right triangle are congruent to the hypotenuse and leg of another right triangle, then the triangles are congruent.
The Congruence Postulates SSS correspondence ASA correspondence SAS correspondence AAS correspondence SSA correspondence AAA correspondence
Name That Postulate SAS ASA SSS SSA (when possible)
Name That Postulate (when possible) HL SAS AAA SSA
Name That Postulate (when possible) SAS SAS SAS Reflexive Property Vertical Angles Reflexive Property SSA
Name That Postulate (when possible)
Name That Postulate
Let’s Practice Indicate the additional information needed to enable us to apply the specified congruence postulate. For ASA: For SAS: B D For AAS: A F A F AC FE
Proving Triangles Congruent. How much do you need to know... need to know about two triangles to prove that they are congruent?
Proving Triangles Congruent. Two geometric figures with exactly the same size and shape. Review of Congruence A C B DE F.
Proving Triangles Congruent Free powerpoints at
Blue – 3/9/2015 Gold – 3/10/2015. Last 2 classes, we talked about 3 ways we can determine triangle congruence. CPCTC – All 3 sides and 3 angles of.
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Do-Now 2) Find the value of x & the measure of each angle. 5x – 4 4x ° 1) Find the value of x. 4x x – 10 3x + 1 5x – 4 + 4x + 14 = 100 9x.
Proving Triangles Congruent. Two geometric figures with exactly the same size and shape. The Idea of a Congruence A C B DE F.
Congruent Figures. Two geometric figures with exactly the same size and shape. Corresponding angles are congruent. Corresponding sides are congruent.
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Proving Triangles Congruent jc-schools.net/PPT/geometrycongruence.ppt.
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Proving RightTriangles Congruent Free powerpoints at
Lesson 4-3: SSS, SAS, ASA 1 Lesson 4-3 Proving Triangles Congruent (SSS, SAS, ASA, AAS, HL)
Unit 1 1 CCGPS Analytic Geometry Proving Triangles Congruent (SSS, SAS, ASA, AAS, HL)
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1 MM1G3c Proving Triangles Congruent (AAS, HL). 2 Postulates AAS If two angles and a non included side of one triangle are congruent to the corresponding.
Bell Work Wednesday, August 7, 2013 List two acts that will results in a student having a teacher conference.
& 5.2: Proving Triangles Congruent p , Adapted from:
Unit 2 Part 4 Proving Triangles Congruent. Angle – Side – Angle Postulate If two angles and the included side of a triangle are congruent to two angles.
2.3: Exploring Congruent Triangles M(G&M)–10–4 Applies the concepts of congruency by solving problems on or off a coordinate plane; or solves problems.
Hypotenuse – Leg Congruence Theorem: HL. Hypotenuse-Leg Theorem (HL) If the hypotenuse and leg of a right triangle are congruent to the hypotenuse and.
Similarity & Congruency Dr. Marinas Similarity Has same shape All corresponding pairs of angles are congruent Corresponding pairs of sides are in proportion.
Given: Δ ABC ≅ Δ DEF The corresponding line segments and the corresponding angles are congruent. Methods to prove 2 triangles congruent: SSS SAS ASA AAS.
Take papers from your folder and put them in your binder. Place your binder, HW and text on your desk. YOUR FOLDERS SHOULD BE EMPTY current EXCEPT FOR.
7/2/ : Analyzing Triangle Congruence Expectations: G2.3.1: Prove that triangles are congruent using the SSS, SAS, ASA, and AAS criteria and that.
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Proving Triangles Congruent. Steps for Proving Triangles Congruent 1.Mark the Given. 2.Mark … reflexive sides, vertical angles, alternate interior angles,
Congruent Triangles have six sets of corresponding parts! Three sets of corresponding sides Three sets of corresponding angles.
Side-side-side (SSS) postulate If three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.
Triangles and Lines – Congruent Triangles Congruent triangles are triangles that share equal corresponding parts.
Triangle Proofs. USING SSS, SAS, AAS, HL, & ASA TO PROVE TRIANGLES ARE CONGRUENT STEPS YOU SHOULD FOLLOW IN PROOFS: 1. Using the information given, ______________.
Chapter 4: Congruent Triangles Objective: To recognize congruent triangles and their corresponding parts. Key Vocabulary: Congruent Triangles.
Bell-Ringer Given:, m
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Triangle Congruency Classifying Triangles by Sides Equilateral Triangle 3 congruent sides Isosceles Triangle At least 2 congruent sides Scalene Triangle.
WARM UP 1)List the six congruencies if the following is true. 2)Plot the points and locate point C so that F(7,5) A(-2,2) T(5,2)
Blue – 3/2/2015 Gold – 3/3/2015. Bell Ringer: Finish the two-column proof. Prove:ΔLMN ΔPON 2. LNM PNO 2. _________________ StatementsReasons 3.
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