Show that the points (1,7),(4,2),(-1,-1) and …
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Yogita Ingle 6 years, 7 months ago
Given points are (1,7),(4,2),(-1,-1),(-4,4)
Let the points are A,B,C,D.
Distance formula = √(x₂-x₁)²+(y₂-y₁)²
AB = √(4-1)²+(2-7)²
= √9+25
= √34
BC = √(-1-4)²+(-1-2)²
= √25+9
= √34
CD = √(-4-(-1))²+(4-(-1))²
= √9+25
= √34
DA = √(1-(-4))²+(7-4)²
= √25+9
= √34
We know that the all sides of the square are equal.
Here by the distance formula, we got the for sides equal .
So,from this we can say that these points are the vertices of a square.
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