document.write( "Question 255370: I need help with my geometery proofs.
\n" ); document.write( "Given: BF is parrallel to CD
\n" ); document.write( "Prove: AB/AC=BF/CD (ab over ac is equal to bf over cd)
\n" ); document.write( "This is a 2 column proof.
\n" ); document.write( "Picture: One little triangle is inside of a bigger triangle. Both triangles share the same vertex angle.
\n" ); document.write( "Statements:
\n" ); document.write( "1. BF is parrallel to CD.
\n" ); document.write( "2. Angle 1 is congruent to Angle C, Angle 3 is congruent to Angle C.
\n" ); document.write( "3. Angle A is congruent to Angle A.
\n" ); document.write( "4. Triangle ABF is similar to Triangle ACD.
\n" ); document.write( "5. AB/AC=BF/CD\r
\n" ); document.write( "\n" ); document.write( "Reasons:
\n" ); document.write( "1. Givens
\n" ); document.write( "2. Corresponding angles are congruent.
\n" ); document.write( "3. Congruence of angles is reflexsive.
\n" ); document.write( "4. Angle Angle similarity
\n" ); document.write( "5. Def of similar Angles.\r
\n" ); document.write( "\n" ); document.write( "Thanks so much!
\n" ); document.write( "

Algebra.Com's Answer #187639 by richwmiller(17219)\"\" \"About 
You can put this solution on YOUR website!
I would have mentioned parallel lines intersected by a transversal forms angles which are congruent.
\n" ); document.write( "We have line AC intersecting BE and CD
\n" ); document.write( "and line AD intersecting lines BE and CD
\n" ); document.write( "Since (given) BE is parallel to CD, then angles ABE and ACD are congruent and angles AEB and ADC are congruent.
\n" ); document.write( "triangles CAD and BAE share angle BAE all three angles are congruent .
\n" ); document.write( "Since all three angles are congruent the triangles are similar.
\n" ); document.write( "since the triangles are similar their corresponding sides are proportional
\n" ); document.write( "therefore blah blah QED\r
\n" ); document.write( "\n" ); document.write( "PS you didn't say where angle 1 and angle 3 are
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