reason. This one is actually just an algebraic manipulation. Proposition 94: Proportion Lemma AD AE Given points A, B, C, D, and E with A-D-B and A-E-C then АВ -if and only if АС %3D DB ЕС Iost of the exercises are to provide proofs and illustrations in Euclidean Geometry. Most of

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Prove the following. This precedes the AA Triangle Similarity Theorem, so you cannot use it as a
reason. This one is actually just an algebraic manipulation.
Proposition 94: Proportion Lemma
AD
AE
AD
AE
Given points A, B, C, D, and E with A-D-B and A-E-C then
АВ
if and only if
DB
ЕС
Most of the exercises are to provide proofs and illustrations in Euclidean Geometry. Most of
these proofs make use of the AA Triangle Similarity Theorem. They may also use the SAS
Postulate and/or the ASA, AAS, or SSS Triangle Congruence Theorems or they use the
Transversals to Parallel Lines Theorem. You may use paragraph style proofs for the proofs in
this homework set. However, you should still be sure to completely justify each step of your
proofs.
Transcribed Image Text:Prove the following. This precedes the AA Triangle Similarity Theorem, so you cannot use it as a reason. This one is actually just an algebraic manipulation. Proposition 94: Proportion Lemma AD AE AD AE Given points A, B, C, D, and E with A-D-B and A-E-C then АВ if and only if DB ЕС Most of the exercises are to provide proofs and illustrations in Euclidean Geometry. Most of these proofs make use of the AA Triangle Similarity Theorem. They may also use the SAS Postulate and/or the ASA, AAS, or SSS Triangle Congruence Theorems or they use the Transversals to Parallel Lines Theorem. You may use paragraph style proofs for the proofs in this homework set. However, you should still be sure to completely justify each step of your proofs.
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