(This proof could be used after G.CO.10 has been taught. Determining that a quadrilateral is a parallelogram and then applying its properties is used to complete this proof.) Given: where is the midpoint of and is the midpoint of. D E ∆ABC, || and = DE Construct an auxiliary line that is parallel to through and extend C until it intersects the new parallel line at point F. b) Proof by Similarity (Formal Classic Approach) – (This proof could be used after G.SRT.3 has been taught. The similarity criteria of SAS is used to complete the proof.) where is the midpoint of and is the midpoint of. Given: D E ∆ABC, Prove: || and = DE
(This proof could be used after G.CO.10 has been taught. Determining that a quadrilateral is a parallelogram and then applying its properties is used to complete this proof.) Given: ∆ABC, where D is the midpoint of and E is the midpoint of. || and DE = Construct an auxiliary line that is parallel to through C and extend until it intersects the new parallel line at point F. b) Proof by Similarity (Formal – Classic Approach) (This proof could be used after G.SRT.3 has been taught. The similarity criteria of SAS is used to complete the proof.) Given: ∆ABC, where D is the midpoint of and E is the midpoint of. Prove: || and DE =
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