Question

Plot the points A(−2, − 2), B(4, −2), ( 8, 3) and D(−3, 3 ) on the Cartesian plane. Join them in order and identify the figure so formed. Join AC and BD. Also write the coordinates of the points of intersection of both the diagonals with the X-axis as well as the Y-axis.

Answer 1

The shape formed is trapezium

Explanation:

Diagonal BD point of intersection with the y-axis = (0, 9) ,

Point of intersection of diagonal BD with the x-axis = (1.2, 0)

Diagonal AC point of intersection with the y-axis = (2, 0),

Point of intersection of diagonal AC with the x-axis = (0, 1)

Length of segment DC = 10.99 ≈ 11

Length of segment AB = 6.04

Length of segment DA = 5.13

Length of segment CA = 6.38

The perimeter of the formed trapezium = 11 + 5.13 + 6.38 + 6.04 = 28.55

The area of the trapezium = 1/2*(sum of parallel sides)*distance between the parallel sides

The parallel sides are DC and AB

The area of the trapezium = 1/2*(6.04+11)*5 = 42.6 unit.