Plot the points A(2,2),B(2,-3),C(8,-3),D(8,2). Join them in order. Name the figure formed and find its area.
Answers
To plot:- A(2,2), B(2,-3), C(8,-3), D(8,2)
here when I plotted, and counted the distance between two vertex By distance formula
I got, AD = BC = 6 and AB = CD = 5.
- Let me tell you how to calculate Distance by Distance Formula
A = (2,2) = (x1, y1) and D = (8,2) = (x2, y2)
- By distance formula
d(AD) = √((x2 - x1)² + (y2 - y1)²)
= √(( 8 - 2)² + (2 - 2)²)
= √((6)² + 0²)
= √(36 + 0) = √36 = 6
•°• AD = 6
similarly, AD = BC = 6 and AB = CD = 5.
The Given Figure plotted in the graph is a rectangle, as opposite sides are equal and all angle is 90°.
A(□ ABCD) = l × b = 5 × 6 = 30
A(■ABCD) = 30 unit²
Answer The Area of the plotted figure is 30 unit² .
Figure is a trapezium and the coordinates of the point of intersection of AC with the y axis are (0,-1).
Step-by-step explanation:
The vertices of a quadrilateral are A(-2,-2), B(4,-2), C(8,3), D(-3,3).
Plot these points on a coordinate plane and join them in order as shown below.
From the below figure it is clear that the figure ABCD is a trapezium because only two opposite sides are parallel and other two sides are non-parallel.
Now, join AC and BD as shown below.
From the figure we can say that the line AC intersect the y-axis at (0,-1).
Therefore, the coordinates of the point of intersection of AC with the y axis are (0,-1).
