EASY
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Both the diagonals of a rhombus are equal.

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Important Questions on Quadrilaterals

EASY
Construct a rhombus GATE when GA=4.4 cm, G=30°.
EASY
In a rhombus, _____ angles are equal and all sides are equal.
HARD

The diagonals of a rhombus are 16 cm and 12 cm. Find the length of each side of the rhombus.

MEDIUM
Construct a rhombus ABCD when AB=5.9 cm, BD=6.3 cm.
MEDIUM
Prove that AC2+BD2=4AB2 in a rhombus ABCD.
HARD

Construct a rhombus ABCD in which AB=4 cm and diagonal AC=6.5 cm.

EASY
Construct a rhombus GATE when AT=5 cm, AE=6.3 cm.
HARD

The lengths of the diagonals of a rhombus are 16 cm and 12 cm respectively. The length of each side of the rhombus is 

EASY
The diagonals of a rhombus bisect each other at _____ angles.
HARD

Prove that the diagonals of a rhombus bisect each other at right angles.

EASY
A parallelogram with all sides equal is called a:
EASY
Atul is playing in a playground which is of the form of a parallelogram. He observes that the diagonals of the playground are 80 m and 60 m long. So, the playground can be the shape of _____.
HARD

Construct a square, each of whose diagonals measure 5.8 cm.

MEDIUM
Construct a rhombus with sides of length 2.3cm and a diagonal of length 4cm.
HARD

The lengths of the diagonals of a rhombus are 16 cm and 12 cm respectively. Find the length of each of its sides.

MEDIUM
Construct a rhombus with side 6 cm and one diagonal 8 cm. Measure the other diagonal.
MEDIUM
ABCD is a rhombus with perimeter 24.8 cm . The length of each of its sides is:
EASY
The two diagonals are not necessarily equal in a
HARD

Construct a rhombus the length of whose diagonals are 6 cm and 8 cm.

MEDIUM

Which of the following steps is INCORRECT while constructing a rhombus ABCD, given that AC=8 cm and BD=6 cm?

Step 1: Draw AC=8 cm.

Step 2: Draw PQ, the perpendicular of AC. PQ intersects AC at point O.

Step 3: With O as centre and radius equal to 3 cm, drawn an arc cutting OP at D.

Step 4: With O as centre and radius equal to 3 cm, draw another arc cutting OQ at B.

Step 5: Join AB,BC,CD and DA.