Similar Triangle Proofs Page 5-7. A CB HF E Similar Triangle Proof Notes To prove two triangles are similar, you only need to prove that 2 corresponding.

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Presentation transcript:

Similar Triangle Proofs Page 5-7

A CB HF E Similar Triangle Proof Notes To prove two triangles are similar, you only need to prove that 2 corresponding angles are congruent. After proving similar triangles, you can add the following two steps - Corresponding sides of similar triangles are in proportion - The product of the means equals the product of the extremes

A CB HF E Similar Triangle Proof Notes Statement Reason 2. Corresponding sides of similar triangles are in proportion 3. The product of the means equals the product of the extremes

StatementReason 1. Given 2. Given Pg. 6 #1 3. Perpendicular segments form a right angle 5. Reflexive postulate 7. Corresponding sides of similar triangles are in proportion 4. All right angles are congruent

StatementReason 1. Given 2. Parallel lines cut by a transversal form congruent alternate interior angles Pg. 6 #2 4. Corresponding sides of similar triangles are in proportion

StatementReason 1. Given 2. Vertical angles are congruent Pg. 6 #4 4. Corresponding sides of similar triangles are in proportion

StatementReason 1. Given 2. Given Pg. 6 #5 3. Perpendicular segments form right angles 4. All right angles are congruent 6. Corresponding sides of similar triangles are in proportion 7. The product of the means equals the product of the extremes

StatementReason 1. Given 2. Given Pg. 7 #27 4. An angle bisector divides an angle into two congruent parts 3. Angles opposite congruent sides of a triangle are congruent

StatementReason 1. Given 2. Given Pg. 7 #29 3. Perpendicular segments form right angles 4. All right angles are congruent 5. Reflexive postulate If LM=6, TS=9 and MS=4, find RM

StatementReason 1. Given 2. Given Pg. 7 #30 3. Perpendicular segments form right angles 4. All right angles are congruent 5. Reflexive postulate If DE=5, AD=6 and AB=18, find BC