Question

show that points (0, -1), (2, 1), (0, 3) and (-2, 1) are vertices of a square

Answer 1

Answer:

Step-by-step explanation:

☆ Let the points

A(0,-1)

B(2,1)

C(0,3)

D(-2,1)

☆ Here is steps

1 Find the distance between A and B i.e AB

2 Find the distance between B and C i.e BC.

3 Find the distance between C and D i.e CD.

4 Find the distance between D and A i.e DA.

☆ Also find the distance of AC and BD .Take both of these as Diagonal of square.

☆ By using Distance formula you can find the sides and Diagonal .

☆ Criteria for square

☆ All sides are equal.

☆ Diagonals are equal.

☆ If the above points follow this criteria .Then ABCD is an square.

☆ Hope that this helps you ☆