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Geometry - Quadrilaterals and Polygons

Multiple Choice Questions

1.
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

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

80 degree

angle BPC space equals space 180 degree minus 110 degree space equals space 70 degree space equals space angle APD space space space space space space space space space space space space space space space space space space space space space space space space space because space space angle DBC space equals space angle CAD space equals space 30 degree therefore space space space space angle ADB space equals space 180 degree minus left parenthesis 70 degree plus 30 degree right parenthesis space equals space 180 degree minus 100 degree space equals space 80 degree space space space

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

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

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