Question

the end points of a diaginal of a square are (0,-1) and (0,5) find the end points of the other diagonal

Answer 1

Answer:

(4,2)

Step-by-step explanation:

Given

One end of diagonal of square is (2,0) and slope is 1

Let other end of diagonal is (x,y)

then m=1

1=

x−2

y

x−2=y----(1)

The length of side of square is 2 hence

By pythagoras theoram length of diagonal be

8

(x−2)

2

+y

2

=

8

On squaring both sides

(x−2)

2

+y

2

=8

from eq (1)

2y

2

=8

y

2

=4

y=±2=2,−2

x=4,0

Possible coordinates are (4,2) and (0,−2)