Construction of a Rhombus When One Side and One Diagonal Are Given.

Q.

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

Q. The length of one of the diagonals of a rhombus is equal to the length of one of the its sides. Find the angles of the rhombus. [4 MARKS]

Q.

Draw the following:

A rhombus whose diagonals are 5.2 cm and 6.4 cm long.

Q. Construct a rhombus $NICE$ with $NI=4cm$ and $IE=5.6cm$

Q. 39. Construct a rhombus whose diagonals are 6cm and 8cm .justify

Q. Construct rhombus $ABCD$ such that: $AB=4.4cm$, $BD=5.4cm$

Q.

One side and one diagonal of a rhombus ABCD are 4.5 cm and 5.5 cm, respectively.

Q. □ABCD is a rhombus. One of its side is 5 cm and one diagonal is 8 cm. Construct □ABCD and measure the other diagonal.

Q. Construct a rhombus of side $6cm$ and one diagonal of length $10cm$. The acute angle in the rhombus is equal to:

1. ${33}^{\circ }$
2. ${42}^{\circ }$
3. ${55}^{\circ }$
4. ${67}^{\circ }$

Q. Construct a rhombus ABCD, when :
One side = $5.4$ cm and Diagonal is $7.0$ cm.

Q. Construct a rhombus of side 5.5 cm and one of its diagonals of 7.4 cm.

Q.

Construct a rhombus whose one side is 4.5 cm and one diagonal is 5 cm.

Q. Using ruler and compasses only, construct rhombus $ABCD$ with sides of length $4cm$ and diagonal $AC$ of length$5cm$. Measure $\angle ABC$.

Q.

To construct rhombus ABCD given CD =5 cm and diagonal BD =8.5 cm, which of the properties of rhombus do we use?

1. Diagonals bisect each other.

2. Opposite angles are equal.

3. Diagonals bisect each other at right angles.

4. All sides of a rhombus are equal.

Q. Construct a rhombus ABCD, when :
One side = $5.0$ cm, and height = $2.6$ cm.

Q. Construct a rhombus ABCD in which AB = 4.2 cm and one diagonal is 6.5 cm

Q. Construct a rhombus of side $6cm$ and one diagonal of length $10cm$. The area of the rhombus is:

1. $33c{m}^2$
2. $44c{m}^2$
3. $55c{m}^2$
4. $66c{m}^2$

Q. Construct rhombus $ABCD$ such that: $AB=3.2cm$, $AC=4.8cm$

Q. Construct a rhombus BEST in which BE= $4.5$ cm and ET= $6.0$ cm then measure the diagonals BS.

Q. Construct a rhombus of side $6cm$ and one diagonal of length $10cm$. The length of the other diagonal is:

1. $4.2cm$
2. $6.6cm$
3. $5.5cm$
4. $7.4cm$

Q. Construct a rhombus ABCD, when :
Diagonal AC = $6.0$ cm and height = $3.5$ cm.

Q. Question 191
Construct a rhombus CLUE in which CL = 7.5 cm and LE = 6 cm.

Q.

Which property of a rhombus do we use to construct a rhombus given one side and a diagonal?

1. Sides of a rhombus are equal
   

2. Diagonals of a rhombus are not equal

3. Diagonals bisect each other
   

4. Diagonals bisect each other at right angles
   

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