Quadrilaterals Quiz

The question is followed by two statements A and B. Indicate your response based on the following directives. Rahim plans to draw a square JKLM with point O on the side JK but is not successful. Why is Rahim unable to draw the square? A: The length of OM is twice that of OL. B: The length of OM is 4 cm.

1. If statement (A) alone is sufficient, but statement (B) is not
2. If Statement (B) alone is sufficient but statement (A) is not
3. If Both statements together are sufficient, but neither statement alone is sufficient
4. Statements (A) and (B) together are not sufficient

Answer: (a) If statement (A) alone is sufficient, but statement (B) is not

What is the minimum number of quadrilateral surfaces in which a convex polygon with 11 vertices can be decomposed?

1. 4
2. 3
3. 5
4. 6

Answer: (c) 5

Two equilateral triangles of side 10√3 cm are joined to form a quadrilateral. What is the altitude of the quadrilateral?

1. 12 cm
2. 18 cm
3. 20 cm
4. 15 cm

Answer: (d) 15 cm

Given question consists of two statements, Assertion (A) and Reason(R). For selecting the correct answer,use the following code: Assertion: In ΔABC, median AD is produced to X such that AD = DX. Then ABXC is a parallelogram. Reason: Diagonals AX and BC bisect each other at right angles.

1. Both Assertion (A) and Reason (R) are the true and Reason (R) is a correct explanation of Assertion (A).
2. Both Assertion (A) and Reason (R) are the true but Reason (R) is not a correct explanation of Assertion (A).
3. Assertion (A) is true and Reason (R) is false.
4. Assertion (A) is false and Reason (R) is true.

Answer: (c) Assertion (A) is true and Reason (R) is false.

A rhombus has sides of length 1 m and area 1/2 m2. Find the angle between the two adjacent sides of the rhombus.

1. 20o
2. 25o
3. 20o
4. 30o

Answer: (d) 30o

Let ABC is a right-angled with AC as its hypotenuse. Then, which of the following option is correct?

1. AC3 > AB3 + BC3
2. AC2 > AB2 + BC2
3. AC > AB + BC
4. AB > AC + BC

Answer: (a) AC3 > AB3 + BC3

A square sheet of paper ABCD is so folded that B falls on midpoint M of CD. In what ratio does crease divide?

1. 7 : 4
2. 5 : 3
3. 4 : 1
4. 8 : 5

Answer: (b) 5 : 3

ABCD is a cyclic quadrilateral such that AC ⊥BD. AC meets BD at E. Find the value of EA2 + EB2 + EC2 + ED2 in terms of radius of the circle.

1. r
2. 4r2
3. 5r
4. r2

Answer: (b) 4r2

WXYZ is a side square length of 30 cm. V is a midpoint on XY and P is a point inside the square with PV perpendicular to XY. PW = PZ = PV - 5. Find the value of PV.

1. 22 cm
2. 10 cm
3. 5 cm
4. 6 cm

Answer: (a) 22 cm

In a quadrilateral ABCD, ∠B = 90o and AD2 = AB2 + BC2 + CD2 . Then, find the value of ∠ACD.

1. 90o
2. 60o
3. 30o
4. 50o

Answer: (a) 90o