EASY
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Necessary conditions for the construction of unique rhombus are

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Important Questions on Constructions

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

With a ruler and compass only, construct the following angle:

150°.

HARD

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

MEDIUM
Construct a rectangle ABCD if AB=7 cm and BC=5 cm.
MEDIUM
Draw a line segment of length 5 cm. Construct the perpendicular bisector of this line segment.
HARD
Construct an equilateral triangle, given its side and justify the construction.
MEDIUM
Construct a rectangle ABCD when AB=6.2 cm and BC=4.5 cm.
MEDIUM

Construct quadrilaterals for measurements given below:

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

MEDIUM
Draw any ABC. Through A, draw a line perpendicular to BC.
HARD

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

MEDIUM
Construct a rhombus ABCD when AB=5.9 cm, BD=6.3 cm.
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
Construct a rhombus with side 6 cm and one diagonal 8 cm. Measure the other diagonal.
MEDIUM
Construct a rectangle ABCD if: AB=5.5 cm and BC=4.5 cm.
HARD

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

HARD

Copy AOB shown in the given figure. Using a ruler and compass, construct an angle equal to 212times AOB.

Question Image

MEDIUM

Construct quadrilateral with the measurements given below:

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

HARD

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

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.