Construction of Quadrilateral 2 Adjacent Sides and 3 Angles Are Given

Q.

Construct a quadrilateral MORE where MO = 6 cm , OR = 4.5 cm, $\angle M={60}^{\circ },\angle O={105}^{\circ },\angle R={105}^{\circ }$. [4 MARKS]

Q. To construct a quadrilateral we need to know two diagonals and ___ sides.

1. 3
2. 4
3. 5
4. 2

Q.

Find the angle x in the given figure.
[2 MARKS]

Q. If we have the measures of 2 adjacent sides and minimum angles, we can construct a unique quadrilateral.

1. 1
2. 2
3. 3
4. 4

Q. The measurements of a quadrilateral are given as AB $=4cm$, CD $=5cm$, $\angle$ABC $={75}^{\circ }$, $\angle$BCD $={45}^{\circ }$ and $\angle$CDA $={135}^{\circ }$. Can you construct a unique quadrilateral ABCD?

1. Yes
2. No
3. With the measure of $\angle DAB$, yes.
4. With the measure of BC, yes.

Q.

The quadrilateral ABCD is given below. What all measurements will you need to draw the quadrilateral ABCD?

Q. For constructing a unique quadrilateral when 2 sides and 3 angles are given, the length of sides are mandatory.

1. two opposite
2. two adjacent
3. any two

Q.

During the construction of a quadrilateral for which 2 sides and 3 angles are known, how is the 4th point plotted?

1. Using arcs

2. Using angle and length

3. Using 2 angles

4. Using only length

Q.

If measure of sides of a quadrilateral are given as AB = 4cm, CD = 5cm, and angles are given as ∠ ABC = ${75}^{\circ }$, ∠ BCD = ${35}^{\circ }$ and ∠ CDA = ${135}^{\circ }$, can you construct a quadrilateral ABCD?

1. Yes

2. No

3. With the measure of BC, Yes

4. With the measure of $\angle$ DAB, Yes

Q.

If we have measurements of 2 adjacent sides and minimum of ___ angles, we can construct a unique quadrilateral.

1. 2

2. 1

3. 4

4. 3

Q.

Is it possible to construct a unique quadrilateral ABCD with AB = 4cm, AD = 6 cm, $\angle$ABC = ${60}^{\circ }$ , $\angle$DAB = ${75}^{\circ }$,

$\angle$ADC = ${85}^{\circ }$? If yes, construct it and find $\angle$BCD.

1. yes,

2. yes,

3. No, it is impossible

4. yes,