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4.3 & 4.4 Proving Triangles are Congruent
Side-Side-Side (SSS) Congruence Postulate:If 3 sides of one triangle are congruent to 3 sides of another triangle, then the two triangles are congruent.
Side-Angles-Side (SAS) Congruence PostulateIf 2 sides are congruent and the angle between the sides are congruent then the triangles are congruent.
Angle-Side-Angle (ASA) Congruence PostulateIf 2 angles are congruent and the side between them is congruent then the triangles are congruent.
Angle-Angle-Side (AAS) Congruence TheoremIf 2 angles are congruent and the non-included side is congruent then the triangles are congruent.
Overall, the 4 postulates to prove Triangles Congruent are…SSS SAS ASA AAS *Order matters!
Practice Questions: Are the following triangles congruent? If so, by which postulate?
Practice Questions: Name the included angle between side AB and BC:
Practice Questions: Is it possible to prove that the triangles are congruent? If so, state the postulate or theorem you would use.
Hypotenuse – Leg Congruence Theorem: HL
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Section 4-3 Triangle Congruence (ASA, AAS) SPI 32C: determine congruence or similarity between triangles SPI 32M: justify triangle congruence given a diagram.
4.4 & 4.5 Proving Triangles Congruent
Proving Triangles Congruent At the end of this lesson, you should be able to prove two triangles are congruent by using ASA and AAS Postulates.
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Chapter 4.5 Notes: Prove Triangles Congruent by ASA and AAS Goal: You will use two more methods to prove congruences.
4.5 – Prove Triangles Congruent by ASA and AAS
Proving Triangles Congruent. Two geometric figures with exactly the same size and shape. Review of Congruence A C B DE F.
Triangle Congruence Students will be able to apply the Triangle Congruence Postulates in order to solve problems.
4-2: Triangle Congruence by SSS and SAS 4-3: Triangle Congruence by ASA and AAS 4-4: Using Corresponding Parts of Congruent Triangles.
Proving Triangles Congruent Geometry Ch 04 A BowerPoint Presentation.
Proving Triangles Congruent. Warm Up Objectives Can you prove triangles congruent using SSS, SAS, ASA, AAS, and HL?
TODAY IN GEOMETRY… Go over proofs from HW #5 4.4 WS Warm Up Learning Goal: 4.5 You will use postulates Angle-Side-Angle and Angle-Angle-Side to prove.
Chapter 4: Congruent Triangles
Triangle Congruence: SSS, SAS, ASA, AAS, and HL
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