Category : 9th Class
QUADRILATERAL
FUNDAMENTALS
TYPES OF QUADRILATERAL
A quadrilateral which sides are equal and each angle is equal to \[{{90}^{{}^\circ }}\] is called square.
Diagonals of square are equal and cut each other at\[{{90}^{{}^\circ }}\].
i.e., \[AB=BC=CD=DA\].
\[\angle A=\angle B=\angle C=\angle D\]
and \[AC=CD\].
A quadrilateral whose all angles arc right angle and. each pair of opposite sides are equal is called Rectangle.
i.e., \[\angle A=\angle \mathbf{B}=\angle C=\angle D={{90}^{{}^\circ }}\], and \[AB=CD,AD=BC\] The diagonals of rectangle are equal and bisect each other at right angle. Each diagonal divides rectangle into congruent triangles.
i.e., \[AC=BD\] and \[\Delta ADC=\Delta ABC\], \[\Delta ABD=\Delta BCD\]
\[AB\parallel CD\]
\[AB\parallel CD\text{ }and\text{ }AD=BC\].
i.e., \[AD=BC,AB=CD\]
i.e., \[\angle A=\angle C\] and \[\angle B=\angle D\].
\[\angle C+\angle D={{180}^{{}^\circ }}\]and \[\angle D+\angle A={{180}^{{}^\circ }}\]
i.e., \[\Delta ABC=\Delta ADC\]
\[\Delta ABD=\Delta BCD\]
i.e., \[AB\parallel CD\]and \[BC\parallel 2AD\]
i.e., \[\angle A=\angle C\] and \[\angle B=\angle D\]
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