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Question
State, 'true' or 'false'
Every rhombus is a parallelogram.
Options
True
False
Solution
True
A parallelogram is a quadrilateral with opposite sides parallel and equal.
Since opposite sides of a rhombus are parallel, and all the sides of the rhombus are equal, a rhombus is a parallelogram.
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RELATED QUESTIONS
Diagonal AC of a parallelogram ABCD bisects ∠A (see the given figure). Show that
- It bisects ∠C also,
- ABCD is a rhombus
In parallelogram ABCD, two points P and Q are taken on diagonal BD such that DP = BQ (see the given figure). Show that:
- ΔAPD ≅ ΔCQB
- AP = CQ
- ΔAQB ≅ ΔCPD
- AQ = CP
- APCQ is a parallelogram
ABCD is a trapezium in which AB || CD and AD = BC (see the given figure). Show that
- ∠A = ∠B
- ∠C = ∠D
- ΔABC ≅ ΔBAD
- diagonal AC = diagonal BD
[Hint: Extend AB and draw a line through C parallel to DA intersecting AB produced at E.]
ABCD is a rectangle with ∠ABD = 40°. Determine ∠DBC .
State, 'true' or 'false'
Every parallelogram is a rhombus.
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(i) the area o || gm QTSR
(ii) the area of the rectangle PQRS
(iii) the area of the triangle PQS.
In the given figure area of ∥ gm PQRS is 30 cm2. Find the height of ∥ gm PQFE if PQ = 6 cm.
In the figure, AE = BE. Prove that the area of triangle ACE is equal in area to the parallelogram ABCD.
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Each angle of a rectangle is a right angle.
The opposite sides of a rectangle are equal in length.
The diagonals of a square are perpendicular to one another.
The opposite sides of a trapezium are parallel.
A figure is said to be regular if its sides are equal in length and angles are equal in measure. Can you identify the regular quadrilateral?
