document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=543003>Question 543003</A>: <I><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" src=\"http://knitonequilttoo.typepad.com/.a/6a00d83452c3e669e20120a93f6ebe970b-500wi\" /><BR>\n" );
document.write( "(The middle of the quilt looks like the image that I'm working with)\r<BR>\n" );
document.write( "\n" );
document.write( "13. <font color=red><b>Quilting</b></font> Many quilts feature squares that are made up of triangles. Explain why placing four congruent isosceles right triangles as shown above always result in a square.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "I know that it must have something to do with the diagonals of a square and how they create perpendicular lines, but I'd really appreciate it if someone could help explain this to me a little farther. \r<BR>\n" );
document.write( "\n" );
document.write( "Thanks in advance.\r<BR>\n" );
document.write( "\n" );
document.write( "(I apologize if this is in the wrong section) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #354727 by </B><A HREF=/tutors/aboutme.mpl?userid=scott8148><B>scott8148(6628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=scott8148><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=scott8148><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=354727\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> yes, the diagonals of a rhombus are perpendicular; but not all rhombuses are squares\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the four congruent isosceles right triangles all have the same hypotenuse, so the quadrilateral formed is a rhombus\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the base angles of four congruent isosceles right triangles are all 45º, so when two are adjacent (to form a corner)<BR>\n" );
document.write( "___ the corner is a right angle - making the rhombus a square </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );