Lines in a Triangle

Q. The perpendicular line segment from a vertex of a triangle to its opposite side is called

1. a median
2. an altitude
3. an angle bisector.
4. a perpendicular bisector.

Q. The sides BC, CA and AB of $\Delta ABC$ are produced in order to form exterior angles $\angle ACD$, $\angle BAF$ and $\angle CBE$ respectively, then $\angle BAF+\angle ACD+\angle CBE$ is ______ degree(s).

1. 360

Q. Find the value of x in the below diagram given that, $\angle ACB$ = 25${}^o$, $\angle CBA$ = 15${}^o$ and CD is the height of C from the extended line segment BA: [4 MARKS]

Q. The perpendicular line segment from a vertex of a triangle to its opposite side is called .

1. a median
2. an altitude
3. a bisector

Q. Two angles of a triangle are of measures ${65}^{\circ }$ and ${25}^{\circ }$. Find the measures of the third angle.

1. ${90}^{\circ }$
2. ${75}^{\circ }$
3. ${60}^{\circ }$
4. ${30}^{\circ }$

Q.

State whether the statement is true or false.
Median and altitude of an isosceles triangle are one and the same.

1. True

2. False

Q.

Given that the lengths of the sides of a triangle are 6m, 6m, 8m. What is the type of triangle? What are the various properties of such triangles? [3 MARKS]

Q. A perpendicular drawn from a vertex to the opposite side of a triangle is known as

(a) an altitude
(b) a median
(c) an angle bisector
(d) a bisector

Q.

In a triangle the perpendicular line drawn from the vertex to the opposite side is ________

1. Isosceles

2. Scalene

3. Equilateral

4. Right angled

Q. In any triangle, the centroid divides the median in the ratio:

1. $3:1$
2. $1:1$
3. $2:1$
4. $3:2$

Q.

What is median in triangle ?

Q.

The number of right angles in a straight angle is ______ and in a complete angle is ________.

1. 2, 4

2. 4, 2

3. 1, 2

4. 2, 2

Q. Which of the following relation is true?

1. x + y + z = A + z
2. x + y + z = A
3. x + y + z = z
4. A + z = x + y

Q. An equilateral triangle is symmetrical about each of its
(a) altitudes
(b) medians
(c) angle bisectors
(d) all the above

Q.

The point of intersection of medians is called___ .

Q. Match the special lines of a triangle given on the left with the name of their point of intersection.

1. centroid
2. incentre
3. orthocentre

Q.

For constructing $\Delta$LMN exactly identical to $\Delta$ABC, the measurements of .

1. LM
2. MN and LN
3. LN

Q.

If the angles of a triangle are x; $x^{\circ }$ and $x^{\circ },$ then the triangle is___

1. Scalene

2. Right angled

3. Equilateral

4. Isosceles

Q.

The sides BC, CA and AB of $\Delta ABC$ are produced in order to form exterior angles $\angle ACD$ , $\angle ABG$, and $\angle CAE$ then $\angle ACD+\angle CAE+\angle ABG$ is

1. 

2. 

3. 

4. 

Q. The point of concurrency of median of a triangle is called ___________.

1. Incentre
2. Circumcentre
3. Orthocentre
4. Centroid

Q. A triangle

(a) may not have an altitude
(b) can have at most 3 altitudes
(c) has three altitudes
(d) has only one altitude

Q.

Line segments joining the vertices to the mid-points of the opposite sides of a triangle are known as

1. medians

2. heights

3. altitudes

4. angle bisectors

Q. Line segments joining the vertices to the mid-points of the opposite sides of a triangle are known as

(a) medians
(b) altitudes
(c) heights
(d) angle bisectors

Q.

The point of intersection of the three medians of a triangle is called its _______.

1. Equilateral Triangle

2. Scalene Triangle

3. Right Triangle

4. Isosceles Triangle

Q. The point of concurrence of the altitudes of a triangle is called

1. Circumcentre
2. Orthocentre
3. Incentre
4. Centroid

Q.

In a triangle, all the medians meet at point A. Similarly, all the altitudes meet at point N. For which triangle, point A is same as point N?
[1 MARK]

Q.

Two angles of a triangle are ${60}^o$ and ${40}^o$. Find its third angle.

1. ${60}^o$

2. ${70}^o$

3. ${80}^o$

4. ${85}^o$

Q.

The point of intersection of medians is called___ .

Q.

The angles of a triangle can be ${36}^o,{45}^{o}and{99}^o$

1. True

2. False

Q. Find the value of the unknown [2 MARKS]

(a)



(b)