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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
All rhombuses are parallelograms.
Two adjacent angles of a parallelogram are as 1 : 2. Find the measures of all the angles of the parallelogram.
In a parallelogram ABCD, AB = 10 cm, AD = 6 cm. The bisector of ∠A meets DC in E, AEand BC produced meet at F. Find te length CF.
Which of the following statement is true for a rhombus?
It has two pairs of equal sides.
Which of the following statement is true for a rhombus?
Two of its angles are at right angles
Which of the following statement is true for a rhombus?
It is a quadrilateral.
Show that each diagonal of a rhombus bisects the angle through which it passes.
ABCD is a rhombus whose diagonals intersect at O. If AB = 10 cm, diagonal BD = 16 cm, find the length of diagonal AC.
Identify all the quadrilateral that have Four sides of equal length
Diagonals of a quadrilateral are perpendicular to each other. Is such a quadrilateral always a rhombus? Give a figure to justify your answer.
