Questions

1 Mark Question

Take a timed test

43 questions · self-marked practice — reveal the answer and mark yourself.

Question 11 Mark
In the following, state if the statement is true (T) or false (F):
Every right triangle is scalene.
Answer
False.
Solution:
A right triangle can also be an isosceles triangle.
View full question & answer
Question 21 Mark
Fill in the blank with the correct word/ symbol to make it a true statement:
A triangle has _____ angles.
Answer
A triangle has three angles.
View full question & answer
Question 31 Mark
Fill in the blank with the correct word/ symbol to make it a true statement:
A triangle whose one angle is a right angle is known as _________.
Answer
A triangle whose one angle is a right angle is known as a right triangle.
View full question & answer
Question 41 Mark
Fill in the blank with the correct word/ symbol to make it a true statement:
A triangle has _____ sides.
Answer
A triangle has three sides.
View full question & answer
Question 51 Mark
In Figure, the length (in cm) of each side has been indicated along the side. State for each triangle angle whether it is scalene, isosceles or equilateral:
Answer
This triangle is an equilateral triangle because all its three sides are equal.
View full question & answer
Question 61 Mark
In Figure, the length (in cm) of each side has been indicated along the side. State for each triangle angle whether it is scalene, isosceles or equilateral:
Answer
This triangle is an isosceles triangle because two of its sides are equal.
View full question & answer
Question 71 Mark
In the following, the measures of three angles are given. State in which cases the angles can possibly be those of a triangle:
59°, 72°, 61°
Answer
59°, 72°, 61° is not equal to 180°
Therefore not a triangle.
View full question & answer
Question 81 Mark
Fill in the blank with the correct word/ symbol to make it a true statement:
A triangle whose all the sides are equal is known as ________.
Answer
A triangle whose all the sides are equal is known as an equilateral triangle.
View full question & answer
Question 91 Mark
In the following, state if the statement is true (T) or false (F):
A triangle has three sides.
Answer
True.
View full question & answer
Question 101 Mark
Take three collinear points A, B and C on a page of your note book. Join AB. BC and CA. Is the figure a triangle? If not, why?
Answer
No, the figure is not a triangle. By definition a triangle is a plane figure formed by three non-parallel line segments.
View full question & answer
Question 111 Mark
Fill in the blank with the correct word/ symbol to make it a true statement:
A triangle has ________ parts.
Answer
A triangle has six (three sides + three angles) parts.
View full question & answer
Question 121 Mark
There are five triangles. The measures of some of their angles have been indicated. State for each triangle whether it is acute, right or obtuse.
Answer
This is a right triangle because one of its angles is 90°.
View full question & answer
Question 131 Mark
In the following, state if the statement is true (T) or false (F):
The interior of a triangle includes its vertices.
Answer
False.
Solution:
The interior of a triangle is the region enclosed by the triangle and the vertices are not enclosed by the triangle.
View full question & answer
Question 141 Mark
P is a point in the interior of $\triangle \text{ABC}$ as shown in Fig. State which of the following statements are true (T) or false (F):
Answer
False.
Solution:
We know that the sum of any two sides of a triangle is greater than the third side: it is not true for the given triangle.
View full question & answer
Question 151 Mark
In the following, state if the statement is true (T) or false (F):
Any three line-segments make up a triangle.
Answer
False.Solution:
Any three non-parallel line segments can make up a triangle.
View full question & answer
Question 161 Mark
In the following, the measures of three angles are given. State in which cases the angles can possibly be those of a triangle:
45°, 61°, 73°
Answer
45°, 61°, 73° is not equal to 180°
Therefore not a triangle.
View full question & answer
Question 171 Mark
In the following, state if the statement is true (T) or false (F):
Each acute triangle is equilateral.
Answer
False.
Solution:
Each acute triangle is not an equilateral triangle, but each equilateral triangle is an acute triangle.
View full question & answer
Question 181 Mark
In Figure, the length (in cm) of each side has been indicated along the side. State for each triangle angle whether it is scalene, isosceles or equilateral:
Answer
This triangle is a scalene triangle because no two sides are equal.
View full question & answer
Question 191 Mark
In the following, state if the statement is true (T) or false (F):
The triangular region includes the vertices of the corresponding triangle.
Answer
True.
Solution:
The triangular region includes the interior region and the triangle itself.
View full question & answer
Question 201 Mark
P is a point in the interior of $\triangle \text{ABC}$ as shown in Fig. State which of the following statements are true (T) or false (F):
Answer
False.
Solution:
We know that the sum of any two sides of a triangle is greater than the third side: it is not true for the given triangle.
View full question & answer
Question 211 Mark
In the following, state if the statement is true (T) or false (F):
An equilateral triangle is isosceles also.
Answer
True.
Solution:
In an equilateral triangle, any two sides are equal.
View full question & answer
Question 221 Mark
Take three non-collinear points A. B and C on a page of your notebook. Join AB, BC and CA. What figure do you get? Name the triangle. Also, name.
The angle opposite to side AB
Answer
$\angle \text{B}$
View full question & answer
Question 231 Mark
There are five triangles. The measures of some of their angles have been indicated. State for each triangle whether it is acute, right or obtuse.
Answer
This is an obtuse triangle because one of its angles is 110°, which is greater than 90°.
View full question & answer
Question 241 Mark
Take three non-collinear points A. B and C on a page of your notebook. Join AB, BC and CA. What figure do you get? Name the triangle. Also, name.
The vertex opposite to side BC
Answer
A
View full question & answer
Question 251 Mark
In the following, the measures of three angles are given. State in which cases the angles can possibly be those of a triangle:
30°, 20°, 125°
Answer
30°, 20°, 125° is not equal to 180°
Therefore not a triangle.
View full question & answer
Question 261 Mark
Fill in the blank with the correct word/ symbol to make it a true statement:
A triangle has ______ vertices.
Answer
A triangle has three vertices.
View full question & answer
Question 271 Mark
In the following, state if the statement is true (T) or false (F):
No isosceles triangle is obtuse.
Answer
False.
Solution:
An isosceles triangle can be an obtuse triangle, a right triangle or an acute triangle.
View full question & answer
Question 281 Mark
Fill in the blank with the correct word/ symbol to make it a true statement:
A triangle whose one angle is more than 90' is known as _________.
Answer
A triangle whose one angle is more than 90' is known as an obtuse triangle.
View full question & answer
Question 291 Mark
In the following, state if the statement is true (T) or false (F):
The vertices of a triangle are three collinear points.
Answer
False.
Solution:
The vertices of a triangle are three non-collinear points.
View full question & answer
Question 301 Mark
Take three non-collinear points A. B and C on a page of your notebook. Join AB, BC and CA. What figure do you get? Name the triangle. Also, name.
The side opposite to $\angle\text{B}$
Answer
AC
View full question & answer
Question 311 Mark
There are five triangles. The measures of some of their angles have been indicated. State for each triangle whether it is acute, right or obtuse.
Answer
This is an acute triangle because all its angles are acute angles (less than 90°).
View full question & answer
Question 321 Mark
In the following, state if the statement is true (T) or false (F):
A triangle may have four vertices.
Answer
False.Solution:
A triangle has three vertices.
View full question & answer
Question 331 Mark
Fill in the blank with the correct word/ symbol to make it a true statement:
A triangle whose no two sides are equal is known as ________.
Answer
A triangle whose no two sides are equal is known as a scalene triangle.
View full question & answer
Question 341 Mark
Take three non-collinear points A. B and C on a page of your notebook. Join AB, BC and CA. What figure do you get? Name the triangle. Also, name.
The side opposite to vertex B.
Answer
AC
View full question & answer
Question 351 Mark
In the following, the measures of three angles are given. State in which cases the angles can possibly be those of a triangle:
63°, 37°, 80°
Answer
63°, 37°, 80° = 180°
Angles form a triangle.
View full question & answer
Question 361 Mark
Fill in the blank with the correct word/ symbol to make it a true statement:
A triangle whose all the angles are of measure less than 90' is known as _________.
Answer
A triangle whose all the angles are of measure less than 90' is known as an acute triangle.
View full question & answer
Question 371 Mark
P is a point in the interior of $\triangle \text{ABC}$ as shown in Fig. State which of the following statements are true (T) or false (F):
Answer
True.
Solution:
We know that the sum of any two sides of a triangle is greater than the third side: it is true for the given triangle.
View full question & answer
Question 381 Mark
There are five triangles. The measures of some of their angles have been indicated. State for each triangle whether it is acute, right or obtuse.
Answer
This is an obtuse triangle because one of its angles is 120°, which is greater than 90°.
View full question & answer
Question 391 Mark
There are five triangles. The measures of some of their angles have been indicated. State for each triangle whether it is acute, right or obtuse.
Answer
This is a right triangle because one of its angles is 90°.
View full question & answer
Question 401 Mark
In Figure, the length (in cm) of each side has been indicated along the side. State for each triangle angle whether it is scalene, isosceles or equilateral:
Answer
This triangle is an isosceles triangle because two of its sides, viz. PQ and PR, are equal.
View full question & answer
Question 411 Mark
In the following, the measures of three angles are given. State in which cases the angles can possibly be those of a triangle:
45°, 45°, 90°
Answer
45°, 45°, 90° = 180°
Angles form a triangle.
View full question & answer
Question 421 Mark
In Figure, the length (in cm) of each side has been indicated along the side. State for each triangle angle whether it is scalene, isosceles or equilateral:
Answer
This triangle is a scalene triangle because no two sides are equal.
View full question & answer
Question 431 Mark
Fill in the blank with the correct word/ symbol to make it a true statement:
A triangle whose two sides are equal is known as ________.
Answer
A triangle whose two sides are equal is known as an isosceles triangle.
View full question & answer