Concurrency of Medians of a Triangle

Q.

Median and altitude of an isosceles triangle are one and the same.

1. True

2. False

Q.

The point at which all the three medians of triangle intersect is called the orthocentre.

1. False

2. True

Q.

Define a median of a triangle. How many medians can a triangle have?

Q. Are the median and altitude the same line segments for an equilateral triangle?

1. False
2. True

Q.

One vertex of the equilateral triangle with centroid at the origin and one side as $\mathrm{x}+\mathrm{y}-2=0$ is

1. $(–1,–1)$

2. $(2,2)$

3. $(–2,–2)$

4. None of these

Q. AD, BE and CF, the altitudes of triangle ABC are equal. Prove that triangle ABC is an equilateral triangle.

Q. What do we call the point where the three altitudes of a triangle meet?

1. Incircle
2. Perimeter
3. Orthocenter
4. Circumcenter

Q.

If altitude from one vertex bisects the opposite side, then the triangle is isosceles.

1. True
2. False

Q.

Medians of a triangle are not concurrent.

1. True

2. False

Q. ABC is a triangle in which altitudes BE and CF to sides AC and AB are equal. Show that triangle ABE equal and congruent to triangle ACF

Q. If O is the centre of a circle of radius r and AB is a chord of the circle at a distance r/2 from O, then ∠BAO =

(a) 60°

(b) 45°

(c) 30°

(d) 15°

Q.

Median and altitude of an isosceles triangle is same. (True/False)

1. False

2. True

Q.

State true or false :

A triangle can have only one median.

1. True
2. False

Q.

Centroid can lie outside the triangle.

1. False

2. True

Q.

In the following figure, AD and EF are medians. What’s the length of FC?

1. 2 cm
2. 1 cm
3. 3 cm
4. 4 cm

Q.

Median and altitude of an isosceles triangle are one and the same.

1. True

2. False

Q.

In a ___ triangle the median, altitude and angular bisector from one vertex coincides.

Q.

AD and BE and CF are altitudes of ∆ABC .If AD =, BE= CF prove ABC is equilateral triangle

Q.

What is the major difference between bisector, perpendicular, altitu aland median.

Q.

In triangle ABC, altitude BE = altitude CF. Then triangle ABC is

1. Scalene triangle

2. Equilateral triangle

3. Right angled triangle

4. Isosceles triangle

Q.

Can you name the altitude of the triangle given in the figure?

1. AE

2. AD

3. AF

4. AG

Q.

The altitude AD of a ΔABC, in which ∠A is obtuse and AD = 10cm. If BD = 10√3cm, then ∠A = ?

1. 115^o

2. 100^o

3. 105^o

4. 110^o

Q. Match names of the line AD with respect to the triangle ABC.

1. Altitude
2. Angle Bisector
3. Median

Q. Draw a median on the non congruent side of an isosceles triangle. Is it the altitude or an angle bisector too?

Q.

Can you name the altitude of the triangle given in the figure?

1. AE

2. AD

3. AF

4. AG

Q.

In $△$ABC, the medians BE and CF intersect at G. AD is a line meeting BC at D. If GD is 1.5 cm, then find the value of AD.

1. 3 cm
2. 4 cm
3. 4.5 cm
4. 2.5 cm

Q.

The point of intersection of medians is known as centroid. The centroid divides the median in the ratio________.

1. Incentre

2. Centroid

3. Circumcentre

4. Orthocentre

Q.

In the following figure, AD and EF are medians. What’s the length of FC?

1. 4 cm
2. 2 cm
3. 1 cm
4. 3 cm

Q.

In the figure, $L,MandN$ are respectively the mid-points of sides $AB,BCandAC$of $△ABC.$
$CL$ is$\_\_\_\_\_\_$ corresponding to the side$AB.$

Q.

In the figure, $L,MandN$are respectively the mid-points of the sides $AB,BCandAC$of $△ABC$

$AQ$ is$\_\_\_\_$ corresponding to the side $BC$.