Bellringer

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Bellringer

• Statements Reasons

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Proving Congruence ASA, AAS

• Chapter 4-5

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ASA Postulate

• Angle Side Angle Congruence If two angles and
  the included side of one triangle are congruent
  to two angles and the included side of another
  triangle then the triangles are congruent.

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Use ASA in proofs

• Statements Reasons

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AAS Postulate

• Angle-Angle-Side Congruence If two angles and a
  non included side of one triangle are congruent
  to the corresponding two angles and side of a
  second triangle then the triangles are congruent

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Use AAS in proofs

• Given
• Prove
• Statements Reasons

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HL Postulate

• Hypotenuse-Leg Congruence If the hypotenuse and
  a leg of one right triangle are congruent to the
  hypotenuse and corresponding leg of another right
  triangle, then the triangles are congruent.

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Bellringer

• Statements Reasons

Angle RVS is right
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Example

• Statements Reasons

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Example

• Given QP is parallel to SR
• Prove QR is congruent to PS

• Given
• Prove
• Statements Reasons