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GradeQuadrilateral, Quadrilateral

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In the figure, ABCD is a quadrilateral. Name the pairs of opposite angles.

Show that the sum of all sides of a quadrilateral is greater than the sum of the diagonals.

Three angles of a quadrilateral are equal. The fourth angle measures \[120^\circ \]. What is the measure of each of the equal angles?

In an isosceles trapezoid \[ABCD\], \[AB = CD = 5\]. The top base \[ = 8\] and the bottom base \[ = 14\]. What is the area of this trapezoid?

Prove that the sum of 4 angles in a quadrilateral is $360$?

How to find the area of this quadrilateral?

A computer system is advertised with a \[14 - inch\] monitor. The measurement of the monitor is along the diagonal of the screen. The height of the monitor screen is \[9\] inches. What is the width of the monitor screen?

Find the length of the side if the diagonals of the rhombus are 16 and 18?

In the above, a quadrilateral ABCD is drawn to circumscribe a circle, with center O, in such a way that the sides AB, BC, CD and DA touch the circle at the points P, Q, R and S respectively. Prove that AB + CD = BC + DA.

Fill in the blanks:

A quadrilateral has ____ diagonals?

A quadrilateral has ____ diagonals?

: In the diagram \[ABCD\] is a rectangle and point \[E\] lies on \[AB\]. Triangle \[DEC\] has \[\left| \!{\underline {

{DEC} }} \right. = {90^ \circ }\], \[DE = 3\] and \[EC = 4\]. The length of \[AD\] is

A.2.4

B.2.8

C.1.8

D.3.2

{DEC} }} \right. = {90^ \circ }\], \[DE = 3\] and \[EC = 4\]. The length of \[AD\] is

A.2.4

B.2.8

C.1.8

D.3.2

Give reasons for the following.

Squares, rectangles, parallelograms are all quadrilaterals.

Squares, rectangles, parallelograms are all quadrilaterals.

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