Q1. Show that the
points A (0, 0), B(3, 0);
C(4, 1) and D(1, 1)
form a parallelogram.
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Step-by-step explanation:
Given points are
A(0,0),B(3,0),C(4,1) and D(1,1)
A quadrilateral is a parallelogram if the opposite sides are equal.
by Distance formula between two points
Distance = √(x2 -x1)² +(y2-y1)²
AB= √ (3-0)² - (0-0)²
= √9 -0
= 3 units---------------(i)
BC = √(4- 3)² + (1-0)²
= √1+1
= √2 units-------------------(ii)
CD = √(1-4)² + (1-1)²
= √ 9+0
= 3 units-----------------(iii)
AD = √(1-0)² + (1-0)²
= √1+1
= √2--------------------------(iv)
from (i),(ii),(iii),iv
AB = CD
BC=AD
therefore ABCD will make a parallelogram...
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