Question

1. Show that the point (0, -1), (6, 7), (-2,3) and (8,
3) are the vertices of a rectangle.​

Answer 1

Step-by-step explanation:

Let the points of rectangale such that AB=CD and AD=BC are: A(0,-1), B(6,7),C(-2,3), D(8,3).

Distance=√(x2-x1)²+(y2-y1)².

Then:

AB=CD:

√(6-0)²+(7+1)²=√(-2-8)²+(3-3)²

√36+64=√100

√100units=√100units.

AD=BC:

√(8-0)²+(3+1)²=√(-2-6)²+(3-7)²

√8²+4²=√(-8)²+(-4)²

√64+16=√64+16.

√80units=√80units.

The opposite sides are equal.

Hence, the given points are vertices of a rectangle.

Hope helps u.

Answer 2

Answer:

answer attached in photo