Coordinate Geometry · Class 9 · CBSE Mathematics
The points A(1, 2), B(6, 2), C(6, 5), and D(1, 5) are vertices of a quadrilateral in order. Identify the quadrilateral and find its perimeter.
Practice question from Coordinate Geometry (Class 9 · CBSE Mathematics), with the correct answer and a step-by-step solution.
medium · Subjective · Q-0B59E8
The points A(1, 2), B(6, 2), C(6, 5), and D(1, 5) are vertices of a quadrilateral in order. Identify the quadrilateral and find its perimeter.
Answer: AB and CD are horizontal with length 5 units, while BC and DA are vertical with length 3 units. Therefore, ABCD is a rectangle, and its perimeter is 2(5 + 3) = 16 units.
Solution
A and B have the same ordinate, so units. B and C have the same abscissa, so units; similarly, the opposite sides have equal lengths. Thus the quadrilateral is a rectangle with perimeter units.
More from Coordinate Geometry
- A point is 4 units to the left of the y-axis and 3 units above the x-axis. What are its coordinates?
- Point A has coordinates (5, -2), and point B has coordinates (-3, 7). The coordinates of a point P having the same abscissa as A and the sa…
- Point Q lies in the fourth quadrant, has ordinate -6, and is at equal distances from the x-axis and the y-axis. What are the coordinates of…
- Which statement correctly describes the point (-6, 0)?
Practise more Mathematics
Sign up free for adaptive practice on this chapter, with instant feedback and hints on every question.
Start practising freeFree to start · No credit card needed