Geometry

Quadrilaterals

Easy

Consider the following statements:

Which is/are true?

(A) The sum of any two sides of a triangle is greater than the third side.

(B) The median of a triangle divides it into two triangles of equal area.

(C) The diagonals of a parallelogram bisect each other.

(D) The diagonals of rhombus are equal and bisect each other.

Choose the correct answer from the options given below:

(A), (B) and (C) only

(A), (B) and (D) only

(B), (C) and (D) only

(A), (B), (C) and (D)

✅ Correct Option: 1

(A) is the triangle inequality and is true. (B) is true because the median splits the base into two equal parts with the same height, giving equal areas. (C) is a standard property of parallelograms and is true. (D) is false: the diagonals of a rhombus bisect each other at right angles but are equal only in the special case of a square. Hence (A), (B) and (C).

2026: 14 May Shift 2

If each side of a square is increased by 40%, find the percentage change in its area.

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The area of Trapezum DGCE is.

2026: 30 May Shift 2

If the side of a square is increased by 8 cm, its area increases by 120 sq. cm. Find the side of the square.

2026: 19 May Shift 2

The length of one pair of opposite sides of a square is increased by 4 cm on each side; the ratio of the length and the breadth of the newly formed rectangle becomes 5 : 3. Find the area of the original square?

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If A (1, 2), B(4, y), C(x, 6) and D(3, 5) are the vertices of a parallelogram ABCD, then find the values of x and y.

2025: 29 May Shift 2

If the points P(8,5), Q(4,8), R(0,5) and S(4,k) are the vertices of a rhombus, taken in order, then the value of k is

Solution

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