document.write( "Question 1187856: Given: P is the midpoint of TQ and RS.
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\n" ); document.write( "Here is a link to the image: https://imgur.com/a/lPPnBBA
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Algebra.Com's Answer #818858 by MathLover1(20850)\"\" \"About 
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The Angle-Side-Angle Postulate (ASA) states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.\r
\n" ); document.write( "\n" ); document.write( "in your case given P is the midpoint of TQ and RS\r
\n" ); document.write( "\n" ); document.write( "then TP=QP and RP=SP, so these two pairs of corresponding sides are equal\r
\n" ); document.write( "\n" ); document.write( "if given vertical angles are congruent, means\r
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\n" ); document.write( "\n" ); document.write( "△TPR ≅ △QPS by SAS postulate
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