A quadrilateral has vertices in the order (0, -1), (-2, 3), (6, 7) and (8, 3). The quadrilateral is a: Option 1: Trapezium Option 2: Square Option 3: Rhombus Option 4: Rectangle

Answer: Rectangle. Solution: Slopes: AB = -2, BC = 1/2, CD = -2, DA = 1/2. Opposite sides are parallel and adjacent sides are perpendicular (product of slopes = -1). Sides: AB = √20, BC = √80, so adjacent sides differ. It has four right angles but unequal adjacent sides, hence a rectangle.

Geometry

Quadrilaterals

Hard

A quadrilateral has vertices in the order $(0, -1)$ , $(-2, 3)$ , $(6, 7)$ and $(8, 3)$ . The quadrilateral is a:

Trapezium

Square

Rhombus

Rectangle

✅ Correct Option: 4

Slopes: AB $= -2$ , BC $= \frac{1}{2}$ , CD $= -2$ , DA $= \frac{1}{2}$ . Opposite sides are parallel and adjacent sides are perpendicular (product of slopes $= -1$ ).

Sides: AB $= \sqrt{20}$ , BC $= \sqrt{80}$ , so adjacent sides differ. It has four right angles but unequal adjacent sides, hence a rectangle.

2022: 17 Aug Shift 1

In parallelogram ABCD, angle A is greater than angle B by 10 $\degree$ , then measure of angle D is

2023: 11 June Shift 2

The distance between two parallel sides of a trapezium is 15 m and its area is 480 m $^2$ . If one of the parallel sides is 20 m long, then length of the other side is:

2022: 6 Oct Shift 1

The area of Trapezum DGCE is.

2023: 7 June Shift 1

If perimeter of a rhombus is 104 cm and length of one of its diagonals is 48 cm, then area of the rhombus (in cm $^2$ ) is :

2025: 3 June Shift 2

The area of a rectangle whose length is 5 more than twice its width is 75 square unit. What is the perimeter of the rectangle?

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.

A quadrilateral has vertices in the order (0,−1)(0, -1)(0,−1), (−2,3)(-2, 3)(−2,3), (6,7)(6, 7)(6,7) and (8,3)(8, 3)(8,3). The quadrilateral is a:

Solution

Related questions:

Keyboard Shortcuts

CUET General Test Past Year Questions (Topic-Wise)

A quadrilateral has vertices in the order $(0, -1)$ , $(-2, 3)$ , $(6, 7)$ and $(8, 3)$ . The quadrilateral is a: