You are given two points A and B on plane. How many squares can you draw on the same plane Class 9

You are given two points A and B on plane. How many squares can you draw on the same plane Class 9

Question 1.

You are given two points A and B on plane. How many squares can you draw on the same plane with A and B on the boundary? How many squares can you draw on the plane with A and B as the corners of the square? Class 9

Answer:

i. Infinitely many squares can be drawn with A and B on the boundary.

ii. Only two squares can be drawn with A and B as adjacent corners of the square on the same plane.

Question 2.

Draw ∆ABC with AB = 5 cm, ∠A = 70° and ∠B = 60°. Draw the circumcircle of ∆ABC. Is the centre inside or outside the triangle? Class 9

Solution:

Steps of construction:

i. Draw ∆ABC as per the given measurement.

ii. Draw perpendicular bisectors of sides AC and BC.

iii. Name the point of intersection of perpendicular bisectors as O.

iv. With O as centre and radius equal to OA draw a circle.