Points on a Circle.

Geometry Level 2

Points $J$ , $K$ and $L$ lie on a circle whose centre is point $O$ . If segment $JK$ passes through point $O$ , which of the following is true about ∆ $LOK$ ?

All three angles are exactly less than 90˚ At least two of the angles have the same measures. One angle measures exactly 90˚ Seg

KO

= Seg

KL

1 solution

Saswata Saha
Feb 22, 2015

Since segment JK passes through centre O,it has to be a diameter.And L can be any other point on the circle(mind that J,K,L are on the circle,not inside or outside).Now if a triangle LOK is drawn,the segments OL=OK,as radii of the same circle are equal.Therefore LOK becomes an isoceles triangle.And thus,last option D is the correct answer.

Points on a Circle.

1 solution

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