Number of Measurements Necessary for Construction of a Unique Quadrilateral

Q.

Any 3 measurements are enough to construct a triangle.

1. True

2. False

Q. Construct 85 degree using compass and ruler.

Q.

Can you construct a unique triangle with any 3 possible measurements of angles?

1. Yes, it is possible to constuct a unique triangle

2. Cannot be determined

3. It is possible to constuct many triangles with this information but not a unique triangle

4. No, it is impossible to constuct any triangle with this information

Q. Can we construct a unique quadrilateral when 4 sides of the quadrilateral are given?

1. Yes, we can.
2. It's never possible.
3. Possible when a diagonal is given.
4. Cannot determine.

Q.

Construct the following quadrilateral: Quadrilateral $\text{ABCD}$ where $\text{AB = 4.5 cm}$, $\text{BC = 5.5 cm}$, $\text{CD = 4 cm}$, $\text{AD = 6 cm}$ and $\text{AC = 7 cm}$.

Q.

Fill in the blanks:

A quadrilateral has ______ sides, __________ vertices, _______angle and _________ diagonals.

Q.

A diagonal of a quadrilateral divides it into _____ congruent triangles.

1. Two

2. Three

3. Four

4. None of the Above

Q.

Four measurements are sufficient to draw a unique quadrilateral.

1. True

2. False

Q.

Construct an equilateral triangle of height 6 cm. Measure approximate length of the its side.

Q.

Construct an equilateral triangle of height 4.5 cm. Measure approximate length of the its side.

Q.

in quadrilateral abcd ab=5cm, angle a= 50°, ac=4 cm, bd= 5 cm, ad=6 cm.can be construct unique quadrilateral.

Q.

Construct an isosceles triangle XYZ in which base YZ = 5.8 cm and altitude from X on YZ is 3.8 cm.

Q.

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

1. True

2. False

Q.

Construct a triangle PQR in which PQ = 5.5 cm, PR = 6.2 cm and length of the perpendicular from P on QR is 4 cm.

Q.

Which of the following instruments can't be used to construct a right angle?

1. Ruler

2. Compass

3. Set Square

4. Options 1 & 2

Q. If AB = BC = CD = DA = 4 cm, then the quadrilateral ABCD could be a rhombus or a .

1. square
2. parallelogram
3. rectangle
4. none of the above

Q. A unique quadrilateral can be pictured as a combination of 2 triangle, with the diagonal as a base.
True/False.

1. True
2. False

Q.

Construct an isosceles triangle whose altitude is 5 cm and whose vertex angle is 80°.

Q.

Can you construct a unique triangle with any 3 possible measurements of sides or angles?

1. With 3 sides, Yes; With 3 angles, No

2. Yes

3. With 3 angles, Yes; With 3 sides, No

4. No, not possible

Q.

Construct an equilateral triangle of height 3.5 cm. (Optional)

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 AB = BC = CD = DA = 4 cm, then the quadrilateral ABCD could be a rhombus or a .

1. parallelogram
2. none of the above
3. square
4. rectangle

Q.

Construct an equilateral triangle of height 4.3 cm. (Optional)

Q.

Construct an equilateral triangle of height 5.2 cm. Measure approximate length of the its side.

Q. The minimum number of measurements required to construct a quadrilateral is ___. Choose the most appropriate answer to fill in the blank.

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

Q.

Pinku was a hard working student who used to learn without understanding. He was asked to construct a triangle say ABC and was given the base length of the triangle BC, one of the base angles say $\angle$ B and the sum of the other two sides (AB + AC). He went about constructing the triangle in the following way:

He drew the base BC with the given dimension, drew the $\angle$ B along the ray BX with the angle known to him already. He then took B as centre and (AB + AC) as radius and cuts an arc on the ray BX intersecting the ray at D.

He then joins D to C. He then draws a perpendicular bisector of the line DC and the perpendicular bisector intersecting on the ray intersects the ray at point A. The teacher then asked him as to why he did what he did, she started from the back and asked him as to how the intersection of the ray and the perpendicular bisector gives A.

Which of the following is the reason for him drawing the perpendicular bisector and intersecting it with the ray?

1. Since the perpendicular bisector would get AD = AC which is like flipping the point D about the perpendicular bisector and merging it with point C

2. To get point A is the mid point of the line segment BD

3. To get ∆ ABC and ∆ ADC congruent

4. None of the above

Q. Construct a quadrilateral in which AB=4.6cm , DC=5.3 , angle A=60 degrees, angleB=100degrees , anglec=120degrees .

Q.

The sum of all the angles of a triangle is ___ degrees.

Q. The minimum number of measures required to construct a square is/are

1. length of one side
2. length of all sides
3. length of opposite sides
4. measure of one angle

Q.

While constructing quadrilateral PQRS with 3 sides and 2 diagonals which of the following geometric tool is not used?

1. Compass

2. Protractor

3. None of These

4. Ruler