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4.4: Prove Triangles Congruent by ASA and AAS

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Presentation on theme: "4.4: Prove Triangles Congruent by ASA and AAS"— Presentation transcript:

1 4.4: Prove Triangles Congruent by ASA and AAS
GEOMETRY: Chapter 4 4.4: Prove Triangles Congruent by ASA and AAS

2 Postulate 21: Angle-Side-Angle (ASA) Congruence Postulate
If two angles and the included side of one triangle are congruent to two angles and the included side of a second triangle, then the two triangles are congruent. (The included side is the side in between the two angles.) Images taken from: Geometry. McDougal Littell: Boston, P. 249.

3 Theorem 4.5: Angle-Angle-Side (AAS) Congruence Theorem
If two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of a second triangle, then the two triangles are congruent. Images taken from: Geometry. McDougal Littell: Boston, P. 249.

4 Ex. 1 Can the triangles be proven congruent with the information given in the diagram? If so, state the postulate or theorem you would use. a. ASA Congruence Postulate b. AAS Congruence Theorem c. cannot be proven with given info Images taken from: Geometry. McDougal Littell: Boston, P. 250.

5 Flow proofs—you have written two-column proofs and paragraph proofs
Flow proofs—you have written two-column proofs and paragraph proofs. A flow proof uses arrows to show the flow of a logical argument. Each reason is written below the statement it justifies.

6 Ex. 2. In the diagram, Images taken from: Geometry. McDougal Littell: Boston, P. 251.

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8 Ex. 2 Flow Chart Below: Images taken from: Geometry. McDougal Littell: Boston, P. 251.

9 Ex. 3. In the diagram, Images taken from: Geometry. McDougal Littell: Boston, P. 251.

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11 Ex. 3: Flow Chart Below: Images taken from: Geometry. McDougal Littell: Boston, P. 251.


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