Construction of a Quadrilateral When Two Adjacent Sides and Three Angles Are Given

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Question 3
Construct the Parallelogram HEAR where
HE=5cm, EA=6cm, $\angle R={85}^{\circ }$

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Question 2
Construct the Quadrilateral PLAN where
PL=4 cm, LA = 6.5 cm, $\angle P={90}^{\circ },\angle A={110}^{\circ },\angle B={85}^{\circ }$

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Construct the following quadrilateral: Parallelogram $\text{HEAR}$ where$\text{HE = 5 cm}$, $\text{EA = 6 cm}$ and$\angle R=85°$.

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Question 4
Construct the Rectangle OKAY where
OK=7 cm, KA= 5cm

Q. Construct a quadrilateral EFGH, where EF = 6cm, FG = 5.2 cm, $\angle E=75°$, $\angle F=\frac{2}{3}\angle G$ and $\angle F+\angle G=150°$. Measure the value of $\angle H$.

1. 115°
2. 125°
3. 85°
4. 135°

Q. To construct a unique quadrilateral, the minimum number of measurements required is

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

Q.

Construct a parallelogram ABCD whose two diagonals AC = 5.4 cm, BD = 4.8 cm and the acute angle between the diagonals is ${60}^{\circ }$ [4 MARKS]

Q.

Construct the Quadrilateral $MORE$ where
Given $MO=6cm$, $OR=4.5cm$, $\angle M={60}^{\circ },\angle O={105}^{\circ }\angle R={105}^{\circ }$

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Construct a quadrilateral ABCD where AB=5.5 cm, BC=3.7 cm, $\angle A={60}^{\circ }$ $\angle B={105}^{\circ }$ and $\angle D={90}^{\circ }$.

Q.

Construct a parallelogram whose diagonal is $5.4\mathrm{cm}$ and $6.2\mathrm{cm}$ and an angle between them is $70°$.

Q. What are the parameters required to construct a quadrilateral?

1. Four sides and one angle
2. Two sides and one included angle
3. Four sides
4. (a) and (b) above.

Q.

Construct a quadrilateral PQRS where PQ=3.5 cm, QR=6.5 cm, $\angle P=\angle R={105}^{\circ }$ and $\angle S={75}^{\circ }$

Q. Construct a quadrilateral $MATH$ with $MA=4cm,AT=3.6cm,TH=4.5cm$, $MH=5cm$ and $\angle A={85}^{\circ }$. Also find its area.

Q. Construct the Parallelogram HEAR where HE = 5cm, EA = 6cm, $\angle R={85}^{\circ }$.

Q.

Question 3
Construct a rectangle with adjacent sides of length 5cm and 4cm.

Q. Construct a quadrilateral PQRS in which PQ=QR=5cm , angle P=100 degree, angle Q=80 degree and angle R=100 degree.Write the steps also

Q.

Construct a quadrilateral ABCD, where AB = 3.5 cm, BC = 3 cm, CD = 4 cm and $\angle C={120}^{\circ }$ and $\angle B={75}^{\circ }$. [4 MARKS]

Q. Construct a quadrilateral $ABCD$ in which $AB=3.6\text{cm},\angle ABC={80}^{\circ },BC=4\text{cm},\angle BAD={120}^{\circ }$, and $AD=5\text{cm}$.
Steps of construction are:
(i) Make $\angle BAY={120}^{\circ }$
(ii) Join $CD$
(iii) With $B$ as centre and radius equal to $4\text{cm}$, draw an arc, cutting $BX$ at $C$.
(iv) Draw $AB=3.6\text{cm}$
(v) With $A$ as centre and $5\text{cm}$ as radius, draw an arc, cutting $AY$ at $D$.
(vi) Make $\angle ABX={80}^{\circ }$
Choose the correct order of steps of construction.

1. (i), (vi), (ii), (iv), (v), (iii)
2. (i), (iii), (ii), (iv), (vi), (v)
3. (i), (ii), (iii), (iv), (v), (vi)
4. (iv), (vi), (iii), (i), (v), (ii)

Q.

What is drawn in the first step in constructing a quadrilateral for which 2 sides and 3 angles are known?

1. Arc

2. Line Segment

3. Triangle

4. None of these

Q.

Construct the following quadrilateral.
Quadrilateral $PLAN$ where
$PL=4cm$
$LA=6.5cm$
$\angle P={90}^{\circ }$
$\angle A={110}^{\circ }$
$\angle N={85}^{\circ }$

Q. What figure is formed by joining the mid points of the pairs of adjacent sides of a quadrilateral?

1. Quadrilateral
2. Parallelogram
3. Rhombus
4. Trapezium

Q. Can a quadrilateral be constructed when the length of 3 sides 1 diagonal and the measure of an angle is given write the step to construct such a quadrilateral

Q. Construct a quadrilateral ABCD such that triangle ABC is equilateral with side 6 cm and sum of any two consecutive angles of this quadrilateral is 180

Q. Construct a quadrilateral EFGH, where EF = 6cm, FG = 5.2 cm, $\angle E=75°$, $\angle F=\frac{2}{3}\angle G$ and $\angle F+\angle G=150°$. Measure the value of $\angle H$.

1. 125°
2. 85°
3. 135°
4. 115°

Q. ABCD is a quadrilateral and the measure of AB, BC , CD and AC are known. Which of the following parameter required for the construction of a unique quadrilateral ABCD ?

1. $AD$
2. $\angle ADB$
3. $\angle BAC$
4. $\angle BCA$

Q. Question 76
Fill in the blanks to make the statements true.​​​​​​​
​​​​​​​A quadrilateral can be constructed uniquely if its three sides and ___ angles are given.

Q.

Question 1
Construct the Quadrilateral MORE where
Given MO=6cm, OR = 4.5 cm, $\angle M={60}^{\circ },\angle O={105}^{\circ }\angle R={105}^{\circ }$

Q.

Question 2
Construct the Quadrilateral PLAN where
PL=4 cm, LA = 6.5 cm, $\angle P={90}^{\circ },\angle A={110}^{\circ },\angle B={85}^{\circ }$

Q. Construct $\square$LMNO such that
$$\begin{array}{cc}& I\left(LM\right)=I\left(LO\right)=6cm\\ & I\left(ON\right)=I\left(NM\right)=4.5cm,I\left(OM\right)=7.5cm.\end{array}$$

Q. Question 52
To construct a unique rectangle, the minimum number of measurements required is
(a) 4
(b) 3
(c) 2
(d) 1