Advertisements
Advertisements
प्रश्न
A parallelogram PQRS is constructed with sides QR = 6 cm, PQ = 4 cm and ∠PQR = 90°. Then PQRS is a ______.
विकल्प
square
rectangle
rhombus
trapezium
Advertisements
उत्तर
A parallelogram PQRS is constructed with sides QR = 6 cm, PQ = 4 cm and ∠PQR = 90°. Then PQRS is a rectangle.
Explanation:
Given PQRS is a parallelogram such that PQ = 4 cm, QR = 6 cm and ∠PQR = 90°
∠PQR + ∠SRQ = 180° ...[∵ Sum of interior angles on same side of transversal is 180°]
`\implies` ∠SRQ = 90°
Similarly, all the interior angles are 90°.
Hence, PQRS is a rectangle.
APPEARS IN
संबंधित प्रश्न
ABC is a right-angled triangle and O is the mid point of the side opposite to the right angle. Explain why O is equidistant from A, B and C. (The dotted lines are drawn additionally to help you)
Which of the following statement is true for a rectangle?
Its diagonals are perpendicular.
Which of the following statement is true for a rectangle?
All rectangles are squares.
Fill in the blank of the following, so as to make the statement true:
A square is a rectangle in which .....
The following figure is a rectangle in which x: y = 3: 7; find the values of x and y.
If diagonals of a quadrilateral are equal, it must be a rectangle.
Every parallelogram is a rectangle.
In rectangle READ, find ∠EAR, ∠RAD and ∠ROD
In rectangle PAIR, find ∠ARI, ∠RMI and ∠PMA.
Quadrilateral EFGH is a rectangle in which J is the point of intersection of the diagonals. Find the value of x if JF = 8x + 4 and EG = 24x – 8.
