MEDIUM
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Construct a rhombus ABCD, in which length of the side CD=6 cm and diagonal BD=8.5 cm.

Important Questions on Practical Geometry

EASY
Construct a rectangle ABCD when AB=6.5 cm and AC=7.2 cm.
MEDIUM
Draw a line segment of length 5 cm. Construct the perpendicular bisector of this line segment.
HARD

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

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

MEDIUM

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

150°.

MEDIUM
Construct a rectangle ABCD when AB=6.2 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.

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.
MEDIUM
Construct a rhombus ABCD when AB=5.9 cm, BD=6.3 cm.
HARD

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

Question Image

HARD
Construct a rectangle ABCD when AB=5.5 cm, COB=22.5° where O is the intersecting point of AC and BD.
HARD

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

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

HARD
Construct an equilateral triangle, given its side and justify the construction.
MEDIUM
Construct a rectangle ABCD if AB=7 cm and BC=5 cm.