Drawing Height in Parallelogram and Construct Area Relation

[size=150][b]In Figure gived parallelograms ABCD and EFGH and [GI], which is extension of [FG]. [br][/b][br][b]Chapter 1: Make the desired operation on the figure according to the following commands.[/b][br][list=1][*]Using [icon]/images/ggb/toolbar/mode_orthogonal.png[/icon] icon in Menu draw a segment, which perpendicular to DC, from point A to segment DC in first parallelogram.[/*][*]With [icon]https://www.geogebra.org/images/ggb/toolbar/mode_intersect.png[/icon]icon determine the intersection point of this segment and segment DC. [/*][*]Press "Name" in [icon]https://www.geogebra.org/images/ggb/toolbar/mode_showhidelabel.png[/icon] button and entitle this point as J. [/*][*]Draw a straight line, which perpendicular to GI straight line, from point H to GI in second parallelogram by the help of [icon]/images/ggb/toolbar/mode_orthogonal.png[/icon] icon.[br][/*][*]Determine a contact point on GI straight line by the help of [icon]/images/ggb/toolbar/mode_intersect.png[/icon] icon. [/*][*]Press the "Name" in [icon]/images/ggb/toolbar/mode_showhidelabel.png[/icon] button and entitle this point as K. [br][/*][/list][br][b]Chapter 2: Answer the following questions according to your geometry worksheets. [/b][/size][br][list=1][size=100][size=150][*]Express the lengths of segments AJ and HK by use of the squares floor.[/*][*]How can we correlate segments AJ and HK with a geometric concept[/*][*]Express the lengths of segments DC and BC by use of the squares floor.[/*][*]Find the area of ABCD parallelogram by use of count of squares. (Tip: Consider that the two half square are a complete square.)[/*][*]Find the product lAJl . lDCl and lHKl . lGFl, and compare with area of paralleogram. [/*][*]How is the area of the parallelogram calculated? [/*][/size][/size][/list][br]
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