EASY
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The point of intersection of the bisectors of the angles of any triangle is called

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Important Questions on Geometry

HARD

If the coordinates of the mid-points of the sides of a triangle are 5,2, (3,3) and 2,2. Find its centroid.

EASY

Where does the orthocentre lie in the case of a right angled triangle?

MEDIUM

The point of intersection of the perpendicular bisectors of the sides of a triangle is called:

MEDIUM

In figure, point G is the point of concurrence of the medians of PQR. If GT=2.5, find the lengths of PT.

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MEDIUM

In ABC, the median AD, BE and CF passes through the point G. If AD=7.5 cm, then find GD (in cm) (correct up to one decimal place)

EASY
Name the triangle for which centroid, circumcentre, orthocentre and incentre coincide with each other.
MEDIUM

The point of two external angle bisector for any side of a triangle and internal angle bisector of the angle opposite side chosen is called 

EASY

Write the quadrants in which the following points lie:

-4,7

EASY

Where does the orthocentre lie in the case of an obtuse-angled triangle?

EASY
If the centroid of the triangle formed by the points a,b,(b,c) and
(c,a) is at the origin, then a3+b3+c3=
EASY

In triangle PQR, PS is a median and QS=3.5 cm and QR=k cm, find the value of k.

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EASY
The incentre of a triangle is determined by
MEDIUM

Find in how many points do the three medians of a triangle meet.

HARD

In an obtuse - angled triangle, the obtuse angled is 110°. Find the angle made on its orthocentre.

MEDIUM

The circumcentre is defined as:

EASY

Where does the orthocentre lie in the case of an acute-angled triangle?

MEDIUM
G is the centroid of the equilateral ABC. If AB=10 cm, then length of the AG is :
MEDIUM

In ABC, the median AD, BE and CF passes through the point G. If GF=4 cm then, find GC.