Show that the points (1, 7), (4, 2), (−1, −1) and (−4, 4) are the vertices of a square.
Answers
since these r sides of a square lengths of all sides must be equal
So calculate distance between each and every point .If all the distances r equal then these points will be sides of a square
Answer:
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
PLS MAKE ME BRAINLIEST AND GIVE ME 5 STARS.
Step-by-step explanation: