document.write( "Question 1182374: I am working on Proportions and Similar Triangles. The practice question asks me to fill in proofs for the statements. The type of theorem I am working with is Side Splitter Theorem. For the additional practices, I would like to know how the proofs are given to the statement, I understand the algebraic equations related to the theorem, but I don't understand the definition that fits perfectly with the statement. Here is the practice assignment I attempted: \r
\n" ); document.write( "\n" ); document.write( "Given: △QXY with RS←→∥XY←→ \r
\n" ); document.write( "\n" ); document.write( "Prove: XR/RQ=YS/SQ\r
\n" ); document.write( "\n" ); document.write( "Statements:
\n" ); document.write( "1.△QXY with RS←→∥XY←→
\n" ); document.write( "2.∠1=∠3,∠2≅∠4
\n" ); document.write( "3.△QXY∼△QRS
\n" ); document.write( "4.XQRQ=YQSQ
\n" ); document.write( "5.XQ=XR+RQ,YQ=YS+SQ
\n" ); document.write( "6.XR+RQ/RQ=YS+SQ/SQ
\n" ); document.write( "7.XR/RQ=YS/SQ\r
\n" ); document.write( "\n" ); document.write( "What are the proofs for the statements? \n" ); document.write( "
Algebra.Com's Answer #812437 by ikleyn(52847)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "In this site, there is an entire textbook on Geometry, written by me.\r
\n" ); document.write( "\n" ); document.write( "See the link\r
\n" ); document.write( "\n" ); document.write( "https://www.algebra.com/algebra/homework/Triangles/GEOMETRY-your-online-textbook.lesson\r
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\n" ); document.write( "\n" ); document.write( "This link leads you to the list of topics.\r
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\n" ); document.write( "\n" ); document.write( "Among these topics, there is a topic \"Similar triangles\".\r
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\n" ); document.write( "\n" ); document.write( "Click on it. \r
\n" ); document.write( "\n" ); document.write( "You will see the list of lessons, related to this topic\r
\n" ); document.write( "\n" ); document.write( "    - Similar triangles \r
\n" ); document.write( "\n" ); document.write( "    - Similarity tests for triangles \r
\n" ); document.write( "\n" ); document.write( "    - Proofs of Similarity tests for triangles \r
\n" ); document.write( "\n" ); document.write( "    - In a triangle a straight line parallel to its side cuts off a similar triangle (**)\r
\n" ); document.write( "\n" ); document.write( "    - Problems on similar triangles (*)\r
\n" ); document.write( "\n" ); document.write( "    - Similarity tests for right-angled triangles \r
\n" ); document.write( "\n" ); document.write( "    - Problems on similarity for right-angled triangles\r
\n" ); document.write( "\n" ); document.write( "    - Problems on similarity for right-angled and acute triangles \r
\n" ); document.write( "\n" ); document.write( "    - One property of a median in a triangle \r
\n" ); document.write( "\n" ); document.write( "    - One property of a trapezoid \r
\n" ); document.write( "\n" ); document.write( "    - Miscellaneous problems on similar triangles (*)\r
\n" ); document.write( "\n" ); document.write( "    - Solved problems on similar triangles (*)\r
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\n" ); document.write( "\n" ); document.write( "It is what the normal educated student should know regarding similarity of triangles.\r
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\n" ); document.write( "\n" ); document.write( "Read it, and you will find there many facts and theories you should know.\r
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\n" ); document.write( "\n" ); document.write( "If this list seems too long for you, I marked (*) the lessons you should look at first and foremost.\r
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