Triangles

Q.

Find the measure of each angle of an Equilateral Triangle.

Q. Two angles are called ________ angles, if the sum of their measures equals ${180}^o$.

1. complementary
2. straight
3. supplementary
4. right

Q. Which shape is often used in the construction of bridges and towers?

1. Triangle
2. Square
3. Pentagon
4. Hexagon

Q.

The number of perpendicular bisectors that can be drawn of a given line segment is:

1. $0$

2. $1$

3. $2$

4. Infinitely many.

Q. In the given figure, the value of x is

1. ${46}^{\circ }$
2. ${150}^{\circ }$
3. ${110}^{\circ }$
4. ${64}^{\circ }$

Q. AM is a median of a triangle ABC Is AB+BC+AC greater than 2AM ?
(Consider the sides of triangle ABM and triangle AMC .

Q.

Define altitude. How many altitudes can there be in a triangle?

Q. If triangle ABC is congruent to triangle PQR, then angle A corresponds to angle

1. P
2. Q
3. R
4. None

Q. Every line that divides a given line segment into two equal parts is a

1. perpendicular
2. bisector
3. parallel line
4. perpendicular bisector

Q.

A __ connects a vertex of a triangle to the mid-point of the opposite side.

Q.

Calculate the angles of a triangle, if they are in the ratio 4:5:6.

Q.

Calculate the unknown marked angles in each figure.

Q. Which of the following is a possible combination of the angles of a triangle?

1. Obtuse, right and acute
2. Obtuse, obtuse, acute
3. Acute, acute, acute
4. Right, right, right

Q. In a triangle 𝐴𝐵𝐶, ∠𝐴=${45}^{\circ }$ and ∠𝐵=${75}^{\circ }$. Find ∠𝐶.

Q. A truck weighing $1000kgf$ changes its speed from $36km{h}^{-1}$ to $72km{h}^{-1}$ in $2$ minutes.$(g=10m{s}^{-2})$. Calculate the work done by the engine

1. $1.5\times {10}^{4}J$
2. $1\times {10}^{5}J$
3. $7.2\times {10}^{5}J$
4. $0J$

Q. In a right angled triangle one angle is 30andtheather angle is xand the exterior angle of the triangle is y . find the measure of x And y?

Q.

What is a perpendicular bisector?

Q. A line segment joining the vertex of a triangle to the mid point of the opposite side is called as ________.

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

Q.

How many altitudes does a triangle have?

1. $1$

2. $3$

3. $6$

4. $9$

Q. Median is a line that connects the vertex of a triangle to the ___ of the opposite side.

1. three fourth point
2. one fourth point
3. vertex
4. midpoint

Q. Compare the sum of the angles of an acute-angled triangle (x) with that of an obtuse-angled triangle (y).

1. Cannot find
2. x > y
3. x = y
4. x < y

Q.

In an isosceles triangle (where the base is the side which is not equal to any other side), the altitude drawn to the base is the median.

1. True

2. False

Q. If triangle ABC is congruent to triangle PQR, then angle A corresponds to angle

1. P
2. Q
3. R
4. None

Q. If two angles of a triangle are ${60}^{\circ }$ each, then the triangle is a / an ______ triangle.

1. Isosceles but not equilateral
2. scalene
3. equilateral
4. right-angled

Q.

Write True or False :

In a triangle, there may be two obtuse angles.

1. True
2. False

Q. A line segment joining the vertex of a triangle to the mid point of the opposite side is called as ________.

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

Q. Equilateral triangle is an example of ________ .

1. acute angled triangle
2. obtuse angled triangle
3. right angled triangle
4. scalene triangle

Q. Equilateral triangle is an example of ________ .

1. acute angled triangle
2. scalene triangle
3. obtuse angled triangle
4. right angled triangle

Q. The six elements of a triangle are its ‘a’ sides and ‘b’ angles. Then the value of $a\times b$ is .

1. 3
2. 6
3. 9

Q.

In the given figure, BI is the bisector of ∠ABC and CI is the bisector of ∠ACB. Find ∠BIC