Question

Show that the points (-4,-1), (-2,-4), (4,0and (2,3) are the vertices of a rectangle

Answer 1

Step-by-step explanation:

find the sides of the rectangle with distant formula

let A(-4,-1) B(-2,-4) C (4,0) D (2,3)

find AB,BC, CD, AD, AC, BD

AB =CD= √13

BC =AD = √52

AC= BD =√65

THEREFORE opposite sides are equal and diagonals

are equal

hence it proves properties of rectangle it is a rectangle