document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1193730>Question 1193730</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Use the following image to answer the questions below:\r<BR>\n" );
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document.write( "a. What information would you need to determine if the figure is a parallelogram? Name multiple ways to determine if the figure is a parallelogram.<BR>\n" );
document.write( "b. What information would you need to determine if the figure is a rhombus? A square? A rectangle?<BR>\n" );
document.write( "c. Two of your friends are arguing: Marlon argues that a parallelogram is also a trapezoid; Tamara argues that a parallelogram is not a trapezoid. List some of the reasons Marlon might argue that parallelograms are also trapezoids based on the similarities between the figures.<BR>\n" );
document.write( "d. List some of the reasons Tamara might argue that parallelograms are not trapezoids based on the differences between the figures.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #825764 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52781)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=825764\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .\r<BR>\n" );
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document.write( "An arbitrary quadrilateral on a plane is a parallelogram if and only if\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- the opposite sides are parallel;<BR>\n" );
document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- the opposite sides are of equal length;<BR>\n" );
document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- each diagonal divides it in two congruent triangles;<BR>\n" );
document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- the diagonals bisect each other;<BR>\n" );
document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- the opposite angles are congruent;<BR>\n" );
document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- the sum of any two consecutive angles is equal to 180°.\r<BR>\n" );
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document.write( "On parallelograms and their properties see and read the lessons\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/Parallelograms/In-a-parallelogram-each-diagonal-divides-it-in-two-congruent-triangles.lesson>In a parallelogram, each diagonal divides it in two congruent triangles</A>\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/Parallelograms/Properties-of-the-sides-of-a-parallelogram.lesson>Properties of the sides of a parallelogram</A> \r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/Parallelograms/Properties-of-the-sides-of-parallelograms.lesson>Properties of the sides of parallelograms</A> \r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/Parallelograms/Properties-of-diagonals-of-parallelograms.lesson>Properties of diagonals of parallelograms</A> \r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/Parallelograms/Opposite-angles-of-a-parallelogram-are-congruent.lesson>Opposite angles of a parallelogram</A>\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/Parallelograms/Consecutive-angles-of-a-parallelogram.lesson>Consecutive angles of a parallelogram</A>\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=https://www.algebra.com/algebra/homework/Parallelograms/PROPERTIES-OF-PARALLELOGRAMS.lesson>PROPERTIES OF PARALLELOGRAMS</A>\r<BR>\n" );
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document.write( "in this site.\r<BR>\n" );
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document.write( "By the definition, <B>a rhombus is a parallelogram which has all the sides of the same length</B>.\r<BR>\n" );
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document.write( "As a parallelogram, any rhombus has all the properties of a parallelogram listed above.\r<BR>\n" );
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document.write( "Rhombis (plural of <I>rhombus</I>) have additional properties.\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- -in a rhombus, each diagonal divides it in two congruent isosceles triangles.\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- in a rhombus, the two diagonals are perpendicular. \r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- in a rhombus, the diagonals are the angle bisectors. \r<BR>\n" );
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document.write( "On rhombis and their properties see and read the lessons\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/Parallelograms/Diagonals-of-a-rhombus-are-perpendicular.lesson>Diagonals of a rhombus are perpendicular</A>\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/Parallelograms/Diagonals-of-a-rhombus-bisect-its-angles.lesson>Diagonals of a rhombus bisect its angles</A>\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=https://www.algebra.com/algebra/homework/Parallelograms/PROPERTIES-OF-RHOMBIS.lesson>PROPERTIES OF RHOMBIS</A>\r<BR>\n" );
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document.write( "in this site.\r<BR>\n" );
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document.write( "Also, &nbsp;you have this free of charge online textbook on Geometry\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;<A  rel=nofollow HREF=https://www.algebra.com/algebra/homework/Triangles/GEOMETRY-your-online-textbook.lesson>GEOMETRY - YOUR ONLINE TEXTBOOK</A> \r<BR>\n" );
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document.write( "in this site.\r<BR>\n" );
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document.write( "The referred lessons are the part of this textbook under the topics \"<U>Properties of parallelograms</U>\"<BR>\n" );
document.write( "and \"<U>Properties of rhombis</U>\".\r<BR>\n" );
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document.write( "Save the link to this online textbook together with its description\r<BR>\n" );
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document.write( "Free of charge online textbook in GEOMETRY<BR>\n" );
document.write( "https://www.algebra.com/algebra/homework/Triangles/GEOMETRY-your-online-textbook.lesson\r<BR>\n" );
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document.write( "to your archive and use it when it is needed.\r<BR>\n" );
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