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Geometry - Quadrilaterals and Polygons

Multiple Choice Questions

ABCD is a cyclic quadrilateral. Diagonals AC and BD meets at P. If $angle APB space equals space 110 degree$ and $angle CBD space equals space 30 degree$ , then $angle ADB$ measures

$80 degree$
$70 degree$
$30 degree$
$30 degree$

866 Views

In the given figure, POQ is a diameter and PQRS is a cyclic quadrilateral. If $angle PSR space equals space 130 degree$ , then the value of $angle RPQ$ is

$40 degree$
$45 degree$
$35 degree$
$35 degree$

637 Views

If ABCD is a cyclic parallelogram, then the $angle straight A$ is

$60 degree$
$80 degree$
$90 degree$
$90 degree$

510 Views

The length of the two parallel sides of a trapezium are 16m and 20 m respectively. If its height is 10 m, its area in square metres is:

271 Views

Which of the following is not true for a rhombus?

All sides are congruent
Opposite sides are parallel
Diagonals are equal
Diagonals are equal

277 Views

6.
The length of the two adjacent sides of a rectangle inscribed in a circle are 5cm and 12 cm respectively. Then the radius of the circle will be

6 cm

6.5 cm

8 cm

8 cm

6.5 cm

increment ACD comma

AC squared space equals space AD squared space plus space DC squared AC squared space equals space left parenthesis 12 right parenthesis squared plus space left parenthesis 5 right parenthesis squared AC squared space equals space 144 plus 25 AC squared space equals space 169 AC space equals 13 space cm

therefore

Radius of the circle =

AC over 2 space equals space 13 over 2 space equals space 6.5 space cm

234 Views

In a cyclic quadrilateral ABCD, $angle BCD space equals space 120 degree$ and passes through the centre of the circle. Then $angle ABD space equals space ?$

$30 degree$
$40 degree$
$50 degree$
$50 degree$

470 Views

Two regular polygons are such that the ratio between their number of sides is 1:2 and the ratio of measures of their interior angles is 3:4. Then the number of sides of each polygon are