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प्रश्न
All the angles of a quadrilateral are equal to each other. Find the measure of each. Is the quadrilateral a parallelogram? What special type of parallelogram is it?
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उत्तर
\[\text{ Let the angle be x }. \]
\[\text{ All the angles are equal .} \]
\[ \therefore x + x + x + x = 360°\]
\[4x = 360°\]
\[x = 90°\]
\[\text{ So, each angle is 90°and quadrilateral is a parallelogram . It is a rectangle } .\]
संबंधित प्रश्न
The following figure is parallelogram. Find the degree values of the unknowns x, y, z.
The following figure is parallelogram. Find the degree values of the unknown x, y, z.
In the adjacent figure HOPE is a parallelogram. Find the angle measures x,y and z. State the geometrical truths you use to find them.
Diagonals of parallelogram ABCD intersect at O as shown in the following fegure. XY contains O, and X, Y are points on opposite sides of the parallelogram. Give reasons for each of the following:
(i) OB = OD
(ii) ∠OBY = ∠ODX
(iii) ∠BOY = ∠DOX
(iv) ∆BOY ≅ ∆DOX
Now, state if XY is bisected at O.
Which of the following statement is true for a rhombus?
It is a parallelogram.
Which of the following statement is true for a rhombus?
It can be a square.
The diagonals of a quadrilateral are perpendicular to each other. Is such a quadrilateral always a rhombus? If your answer is 'No', draw a figure to justify your answer.
Construct a rhombus whose diagonals are of length 10 cm and 6 cm.
State with reason whether the following statement is ‘true’ or ‘false’.
Every rhombus is a rectangle.
Diagonals PR and QS of a rhombus PQRS are 20 cm and 48 cm respectively. Find the length of side PQ.
