MEDIUM
Earn 100

Construct a rhombus with side 6 cm and one diagonal 8 cm. Measure the other diagonal.

Important Questions on Constructions

HARD

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

MEDIUM
In the construction of a rhombus with side 6 cm and one diagonal equal to 8 cm, what is the measure of the other diagonal?
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.

HARD

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

MEDIUM

A rhombus can be constructed if the measure of one side and _____ or _____ is known.

 

MEDIUM

Steps of construction of a Rhombus, whose one side is 4 cm and a diagonal is equal to 6 cm are given below.

Step 1: Mark the points of intersection of arcs above PR as S and below PR as Q.

Step 2: With R as a centre, draw arcs of 4 cm above and below of PR.

Step 3: Draw PR=6 cm.

Step 4: Join PQ, QR, RS and PS.

Step 5: With P as the centre, draw arcs of 4 cm above and below of PR.

Identify the correct order of construction of the Rhombus.

HARD

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

MEDIUM
A quadrilateral ABCD in which AC=6 cm and  BD=4cm are perpendicular to each other is a _____ . (Square/Rhombus/Parallelogram)
EASY
Necessary conditions for the construction of unique rhombus are
EASY
To construct a unique rectangle, the minimum number of measurements required is
HARD

Construct a rectangle ABCD whose adjacent sides are 11 cm and 8.5 cm.

MEDIUM

Construct quadrilateral with the measurements given below:

Rhombus  NICE with NI=4 cm and IE=5.6 cm

HARD
Is it possible to construct a rhombus BEND with BN=5.6cm and DE=6.5cm?
HARD

Construct a rectangle PQRS in which QR=3.6 cm and diagonal PR=6 cm. Measure the other side of the rectangle.

EASY
Step I & Step V are in correct order while constructing an equilateral triangle one of whose altitudes measures 5cm. Which of the following options is CORRECT while arranging the remaining steps in CORRECT order?
Step I: Draw a line XY.
i From P, set off PA=5cm, cutting PQ at A.
(ii) From P, draw PQXY.
(iii) Mark any point P on XY.
Step V: Construct PAB=30° and PAC=30°, meeting XY at B and C respectively.
MEDIUM

The correct order of steps of construction of an equilateral ABC of side 5 cm is

Step 1: With C as centre and radius 5 cm, draw another arc to cut the first arc at A.

Step 2: We draw a line segment BC of length 5 cm.

Step 3: Join AB & AC.

Step 4: With B as centre and radius 5 cm, draw an arc.

MEDIUM
A/An _____ Triangle can be constructed when the length of only one side is given.
MEDIUM
A quadrilateral PQRS in which QS=6 cm and PR=8 cm are perpendicular to each other, is a _____. (Kite/Rhombus/Parallelogram)
MEDIUM
Can you construct a unique rectangle PQRS, if you know only the lengths PQ and QR?
MEDIUM

Construct quadrilaterals for measurements given below:

A rhombus SOAP with SA=4.3 cm, OP=5 cm