EASY
Earn 100

Define incentre of a triangle.

Important Questions on Constructions

MEDIUM
Construct an incircle of an equilateral triangle with side 5cm
EASY
The circumscribed circle or circumcircle of a polygon is a circle that passes through all the _____ of the polygon. (sides/vertices)
EASY

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In the above figure, AD, BE and CF are the altitudes of the ABC and they meet at the point O. Therefore, O is 

EASY
The triangle whose ortho centre is its vertex point is called.
MEDIUM

Match each term with the correct definition:

(a) bisect (i) draw accurately (using only a straight edge and compass)
(b) inscribe (ii) divide into two halves
(c) construct (iii) draw a shape inside a circle, so that all its vertices touch the circumference
EASY
The incircle or inscribed circle of a triangle is the largest circle contained in the triangle; it touches the three _____. (angles/sides)
EASY

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In the above figure, AD, BE and CF are the interior angle bisectors of the ABC and they meet at the point O. Therefore, O is the 

EASY

Altitudes of a triangle meet at a point. The point is called _____.

EASY
The point of intersection of three altitudes of a triangle is called _____
MEDIUM

The bisectors of angles A and B of a scalene triangle ABC meet at O.

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OR and OQ are drawn perpendiculars to AB and CA respectively. What is the relation between OR and OQ ?

EASY

The bisectors of angles P and Q of a scalene PQR meet at O. What is the relation between angle PRO and angle QRO?

MEDIUM
O is the orthocentre of triangle ABC, if BAC=40° then BOC=
EASY
_____ of a triangle is defined as the point of intersection of all the three interior angle bisectors of the triangle.
MEDIUM

Match each term with the correct definition:

(a) perpendicular (i) line crossing the centre of the circle, from one side to the other
(b) circumference (ii) at right angles
(c) diameter (iii) outside edge of a circle
EASY
The incircle or inscribed circle of a triangle is the largest circle contained in the triangle; it touches the three _____. (angles/sides)
EASY

Perpendicular bisectors of the sides AB and AC of a triangle ABC meet at O. What do you call the point O?

MEDIUM
Some regular polygons are impossible to inscribe in a circle, using only a scale and a compass. Select the number of sides of these polygons:
EASY
The meeting point of the angle bisectors of a triangle is called the _____.
EASY
A circle passing through all the vertices of a regular hexagon is called a circumscribed circle of the polygon, and its centre is called _____.
EASY
_____ of a triangle is defined as the point where the three altitudes of a triangle meet.