Two sticks each of length 7 cm are crossing each other such that
they bisect each other at right angles. What shape is formed by
joining their end points? Give reason.
wo sticks each of length 5 cm are crossing each other such that
they bisect each other. What shape is formed by joining their end
points? Give reason.
The ratio between exterior angle and interior angle of a regular
polygon is 1:5. Find the number of sides of the polygon.
The point of intersection of diagonals of a quadrilateral divides one
diagonal in the ratio 1:2. Can it be a parallelogram? Why or why
not?
The adjacent angles of a parallelogram are (2x – 4)° and (3x – 1)°.
Find the measures of all angles of the parallelogram
A photo frame is in the shape of a quadrilateral. With one diagonal
longer than the other. Is it a rectangle? Why or why not?
PQRS is a rectangle. The perpendicular ST from S on PR divides ∠S
in the ratio 2:3. Find ∠TPQ.
In a rectangle ABCD, AB = 25 cm and BC = 15. In what ratio does
the bisector of ∠C divide AB?
Of the four quadrilaterals— square, rectangle, rhombus and
trapezium— one is somewhat different from the others because of its
design. Find it and give justification.
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