Construction of Special Quadrilaterals

Q. Where is the circumcenter of a right-angled triangle located in relation to the triangle?

1. on the triangle
2. outside the triangle
3. inside the triangle
4. none of these

Q.

Construct a quadrilateral MIST where MI = 3.5 cm, IS = 6.5 cm, Angle M = ${75}^{\circ }$, Angle I = ${105}^{\circ }$ and Angle S = ${120}^{\circ }$.

Q.

If you are given AB = 5cm, BC =6cm, CD = 7cm, DA = 6cm and $\angle$ABC=${60}^{\circ }$. Can you draw the quadrilateral?

1. Yes

2. No

3. Maybe

4. With one more infomation, it is possible

Q.

Construct the following quadrilaterals.

(i) Quadrilateral LIFT

LI = 4 cm

IF = 3 cm

TL = 2.5 cm

LF = 4.5 cm

IT = 4 cm

(ii) Quadrilateral GOLD

OL = 7.5 cm

GL = 6 cm

GD = 6 cm

LD = 5 cm

OD = 10 cm

(iii) Rhombus BEND

BN = 5.6 cm

DE = 6.5 cm

Q.

If you are given AB = 5 cm, BC = 6 cm, CD = 7 cm, DA = 6 cm and $\angle$ ABC= ${60}^{\circ }$, can you draw a quadrilateral?

1. Yes

2. No

3. Maybe

4. What's a quadrialteral ?

Q.

If you are given AB = 5 cm, BC = 6 cm, CD = 7 cm, DA = 6 cm and $\angle ABC$ = ${60}^{\circ }$, is it possible to draw the quadrilateral ABCD?

1. Yes

2. No

3. Maybe

4. What's a quadrilateral?

Q.

If the length of the diagonals of the rhombus is known, we can find out the side of the rhombus.

1. True

2. False

Q.

Is it possible to construct a square if only one of its diagonals is given?

1. With 4 other measurements, Yes

2. Yes

3. No

4. With measurement of a side, Yes

Q.

If you have AB = 3 cm, BC = 4 cm, CD = 5 cm & and DA = 6 cm, can you draw the quadrilateral ABCD? If you can, will this quadrilateral be unique?

1. Yes;Yes

2. Yes;No

3. No;Yes

4. No;No

Q.

If you know that side of a square is 4cm, you also know:

1. Length of diagonals

2. Length of each side

3. Both A and B

4. Only B

Q.

Is it possible to construct a rhombus AJUN with AU = 24 cm and JN = 10 cm? If yes, what is the length of the side of the rhombus?

1. Yes, 11 cm

2. Yes 12 cm

3. Yes 13 cm

4. No, it is not possible

Q.

If we know that one side of the rectangle is 8 cm, can we construct a unique rectangle?

1. Yes, we can

2. With measurement of one angle, yes

3. With measurement of two angle, yes

4. No, its not possible

Q.

Is it possible to construct a unique quadrilateral ABCD with AB = 5cm, BC = 6cm, CD= 7cm , $\angle$ ABC = ${45}^{\circ }$ and $\angle$ BCD = ${55}^{\circ }$?

1. Yes, it is possible

2. No, two such quadrilaterals can be constructed

Q. Construct the Quadrilateral DEAR where
DE = 4 cm, EA = 5 cm, AR = 4.5 cm, $\angle E={60}^{\circ },\angle A={90}^{\circ }$

Q. Which of these is not a property of rectangle?

1. Opposite sides are equal.
2. Adjacent sides are perpendicular to each other.
3. The diagonals are of equal length and intersect perpendicularly.
4. The diagonals are of equal length and bisect each other.

Q. If you are looking at a triangle where the orthocenter, the centroid and the circumcenter lie at the same point, what type of triangle are you looking at?

1. Scalene triangle
2. Isosceles triangle
3. Equilateral triangle
4. Right-angled triangle

Q.

If I combine 2 equilateral triangles along a side, what quadrilateral do I get?

1. square

2. rectangle

3. none of these

4. rhombus

Q.

If AB = 5 cm, BC = 6 cm, CD = 7 cm, DA = 6 cm and $\angle$ ABC= ${60}^{\circ }$ are given, then can you draw a quadrilateral?

1. Yes

2. No

3. Maybe

4. Atleast one more measurement is required.

Q. Construct a quadrilateral ABCD where AB = 3.5 cm, BC = 6.5 cm, $\angle A={75}^{\circ },\angle B={105}^{\circ }$ and $\angle C={120}^{\circ }$