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40 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:
It can also be an isosceles triangle.
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Question 21 Mark
In the following, state if the statement is true (T) or false (F):
A triangle has three sides.
Answer
True.
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Question 31 Mark
Fill in the blanks 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 90º is known as an Obtuse triangle.
Solution:
(A triangle whose one angle is more than 90 is called an Obtuse triangle).
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Question 41 Mark
Fill in the blanks with the correct word/ symbol to make it a true statement:A triangle whose all the angles are of measure less than 90º is known as _________.
Answer
A triangle whose all angles measure less than 90º is known as an Acute triangle.
Solution:
(A triangle whose all angles are less than 90º is called an Acute triangle).
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Question 51 Mark
In Figure, there are a triangle. 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 angle triangle, as all the angles are less than 90º.
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Question 61 Mark
In Figure, there are a triangle. 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 angle triangle, as one of the angle (90º) measure more than 90º and less than 180º.
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Question 71 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:
It lies on the triangle.
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Question 81 Mark
Fill in the blanks with the correct word/ symbol to make it a true statement:
A triangle has ____________ vertices.
Answer
A triangle has three vertices.
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Question 91 Mark
In figure, the length (in cm) of each side has been indicted along the side. State for triangle whether it is a scalene, isosceles or equilateral:
Answer
This is an isosceles triangle, as two sides are equal in length i.e. 5.6cm.
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Question 101 Mark
Explain the following terms:
Acute triangle.
Answer
Acute triangles- A triangle, in which all the angles measure less than 90º.
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Question 111 Mark
Fill in the blanks with the correct word/ symbol to make it a true statement:
A triangle has ________________ parts.
Answer
A triangle has six parts.
Solution:
(Angles and sides are part of a triangle. So, three angles and three sides make six parts).
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Question 121 Mark
Fill in the blanks 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 Equilateral triangle.
Solution:
(A triangle whose length of all sides are equal is called an Equilateral triangle).
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Question 131 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:
Three lines segments joined by three non-collinear points can only from a triangle.
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Question 141 Mark
Explain the following terms:
Triangle.
Answer
Triangle- A triangle is a closed polygon that consists of three straight lines as its sides.
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Question 151 Mark
Explain the following terms:
Isosceles triangle.
Answer
Isosceles triangle- A triangle, in which the length of two sides are equal.
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Question 161 Mark
Fill in the blanks 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 Right angled triangle.
Solution:
(A triangle whose one angle is 90º is called a Right angled triangle).
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Question 171 Mark
Fill in the blanks with the correct word/ symbol to make it a true statement:
A triangle has _________________ angles.
Answer
A triangle has three angles.
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Question 181 Mark
In Figure, there are a triangle. 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 angles triangle, as it contains a 90º angle.
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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.
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Question 201 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.
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Question 211 Mark
Explain the following terms:
Parts or elements of a triangle.
Answer
Parts or elements of a triangle- A triangle consists of three sides, three angles and three vertices.
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Question 221 Mark
In the following, state if the statement is true (T) or false (F):
An equilateral triangle is isosceles also.
Answer
True.
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Question 231 Mark
In Figure, there are a triangle. 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 angled triangle, as one of the angle (110º) measures more than 90º and less than 180º.
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Question 241 Mark
Explain the following terms:
Obtuse triangle.
Answer
Obtuse triangle- A triangle, in which one of the angles measure more than 90º.
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Question 251 Mark
Explain the following terms:
Interior of a triangle.
Answer
Interior of a triangle- The region lying inside the boundaries or side of a triangle.
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Question 261 Mark
Explain the following terms:
Equilateral triangle.
Answer
Equilateral triangle- A triangle, in which the length of all the sides are equal.
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Question 271 Mark
In figure, the length (in cm) of each side has been indicted along the side. State for triangle whether it is a scalene, isosceles or equilateral:
Answer
This is a scalene triangle, as all the sides have different length.
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Question 281 Mark
Fill in the blanks 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 Isosceles triangle.Solution:
(A triangle whose length of two sides are equal is called an Isosceles triangle).
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Question 291 Mark
In the following, state if the statement is true (T) or false (F):
Each acute triangle is equilateral.
Answer
False.
Solution:
It can also be an isosceles triangle.
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Question 301 Mark
In Figure, there are a triangle. 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 angle triangle, as it contains a 90º.
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Question 311 Mark
Explain the following terms:
Scalene triangle.
Answer
Scalene triangle- A triangle, in which the length of all the sides are different.
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Question 321 Mark
In figure, the length (in cm) of each side has been indicted along the side. State for triangle whether it is a scalene, isosceles or equilateral:
Answer
This is a scalene triangle, as all the sides have different length.
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Question 331 Mark
Fill in the blanks with the correct word/ symbol to make it a true statement:
A triangle has ________________ sides.
Answer
A triangle has three sides.
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Question 341 Mark
Explain the following terms:
Right triangle.
Answer
Right triangle- A triangle, which has an angle that measure 90º.
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Question 351 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 consists of three vertices only.
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Question 361 Mark
Fill in the blanks 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 Scalene triangle.
Solution:
(A triangle whose length of all sides are different is called Scalene triangle).
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Question 371 Mark
In the following, state if the statement is true (T) or false (F):
No isosceles triangle is obtuse.
Answer
False.
Solution:
It can be an obtuse triangle.
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Question 381 Mark
In figure, the length (in cm) of each side has been indicted along the side. State for triangle whether it is a scalene, isosceles or equilateral:
Answer
This is an isosceles triangle, as two sides are equal in length i.e. 6.2cm.
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Question 391 Mark
In figure, the length (in cm) of each side has been indicted along the side. State for triangle whether it is a scalene, isosceles or equilateral:
Answer
This is an equilateral triangle, as all the sides are equal in length i.e. 5cm.
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Question 401 Mark
Explain the following terms:
Exterior of a triangle.
Answer
Exterior of a triangle- The region lying outside the boundaries or sides of a triangle.
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