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Transcript
Triangle Congruence by ASA and AAS Lesson 4-3 Geometry Additional Examples Suppose that F is congruent to C and I is not congruent to C. Name the triangles that are congruent by the ASA Postulate. The diagram shows N If F C, then F Therefore, FNI A C CAT D and FN G GDO by ASA. CA GD. Triangle Congruence by ASA and AAS Lesson 4-3 Geometry Additional Examples Write a paragraph proof. Given: A Prove: B, AP APX It is given that A APX BP BPY B and AP BP. BPY by the Vertical Angles Theorem. Because two pairs of corresponding angles and their included sides are congruent, APX BPY by ASA. Triangle Congruence by ASA and AAS Lesson 4-3 Geometry Additional Examples Write a Plan for Proof that uses AAS. Given: B Prove: D, AB || CD ABC CDA Because AB || CD, BAC Interior Angles Theorem. DCA by the Alternate Then ABC CDA if a pair of corresponding sides are congruent. By the Reflexive Property, AC ABC CDA by AAS. AC so Triangle Congruence by ASA and AAS Lesson 4-3 Geometry Additional Examples Write a two-column proof that uses AAS. Given: B D, AB || CD Prove: ABC CDA Statements Reasons 1. B 1. Given D, AB || CD 2. BAC 3. AC 4. DCA CA ABC 2. If lines are ||, then alternate interior angles are . 3. Reflexive Property of Congruence CDA 4. AAS Theorem
