document.write( "Question 1099765: Can you please help me answer a proof question? B is the midpoint of segment AE; B is the midpoint of segment CD. Prove: angle ADB is congruent to angle ECB. (Triangles, they are triangles) \n" ); document.write( "

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AB is congruent with EB because B is the midpoint of AE
\n" ); document.write( "BC is congruent with BD because B is the midpoint of CD
\n" ); document.write( "Point B, belonging to lines AE and CD is the intersection of those lines
\n" ); document.write( "Two pairs of vertical angles are formed by the intersection of those lines.
\n" ); document.write( "Angles ABD and EBC are one of those vertical pairs.
\n" ); document.write( "Because they are a pair of vertical angles, angles ABD and EBC are congruent.
\n" ); document.write( "Triangles ABD and EBC are congruent by side-angle-side congruency,
\n" ); document.write( "because they have
\n" ); document.write( "AB congruent with EB,
\n" ); document.write( "BD congruent with BC,
\n" ); document.write( "and between those pairs of congruent sides they have
\n" ); document.write( "angle ABD congruent with angle EBC.
\n" ); document.write( "Because Corresponding Parts of Congruent Triangles are Congruent (CPCTC),
\n" ); document.write( "angle ADB is congruent with angle ECB. \n" ); document.write( "

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