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Classifying Triangles Worksheet - Page 2

Classifying Triangles Worksheet
  • Page 2
 11.  
Can a triangle be a right as well as an isosceles triangle at the same time?
a.
I don′t know.
b.
No
c.
Yes
d.
Can′t say


Solution:

When one angle of a triangle is equal to 90o, the triangle is known as a right triangle.

A triangle having two sides and 2 angles of equal measures is known as an isosceles triangle.

When one angle of a triangle is equal to 90o and the other two angles are 45o each, the triangle is a right isosceles triangle.


Correct answer : (3)
 12.  
Identify an acute triangle.


a.
Figure 1
b.
Figure 2
c.
Figure 3
d.
Figure 1 and Figure 3


Solution:

When all the three angles of a triangle are less than 90°, the triangle is known as an acute triangle.

Among the choices, figure 2 is an appropriate figure for the acute angled triangle.


Correct answer : (2)
 13.  
Classify the triangle by the measure of the angles.

a.
straight angle
b.
acute triangle
c.
right triangle
d.
obtuse triangle


Solution:

When all angles of a triangle are less than 90°, the triangle is called an acute angled triangle.

In the figure, all of the angles are 60° and are less than 90°. Therefore, the triangle is called an acute triangle.


Correct answer : (2)
 14.  
Which triangle has all its three angles of different measures?
a.
isosceles triangle
b.
equilateral triangle
c.
scalene triangle
d.
none of these


Solution:

In an equilateral triangle, all the three angles are of equal measures.

In an isosceles triangle, two of the angles are of equal measures.

In a scalene triangle, all the three angles are of different measures.


Correct answer : (3)
 15.  
"Two of the angles measure 50o each in a scalene triangle". State whether the statement is true or false.
a.
Can′t say
b.
I don′t know.
c.
True
d.
False


Solution:

In a scalene triangle, all the three angles are of different measures.

The measures of two angles in a scalene triangle cannot measure 50o each.

So, the statement is not correct.


Correct answer : (4)
 16.  
Can a triangle have two angle measures equal to 90o each?
a.
I don′t know
b.
Yes
c.
Can′ t say
d.
No


Solution:

Sum of the three angles in a triangle is 180o.

So, the measure of two angles in a triangle cannot be 90o each.


Correct answer : (4)
 17.  
Find the value of x in the figure.


a.
8 cm
b.
6 cm
c.
5 cm
d.
7 cm


Solution:

In the figure, all the angles are equal.

So, it is an equilateral triangle.

In an equilateral triangle all sides are equal.

So, the value of x is 5 cm.


Correct answer : (3)
 18.  
Classify the triangle whose sides measure 7 in., 8 in., and 5 in.
a.
equilateral triangle
b.
right triangle
c.
isosceles triangle
d.
scalene triangle


Solution:

None of the side lengths are same.

So, the triangle is a scalene triangle.


Correct answer : (4)
 19.  
Classify the triangle shown by the approximate measure of its angles.

a.
acute
b.
right
c.
obtuse
d.
none of these


Solution:

When all the three angles of a triangle are less than 90°, the triangle is known as an acute angled triangle.

So, the figure represents an acute angled triangle.


Correct answer : (1)
 20.  
If all the angles in a triangle are of the same measure, then each angle is equal to ____.
a.
80°
b.
110°
c.
60°
d.
90°


Solution:

If all the angles in a triangle are of the same measure, then each angle is equal to 60°.


Correct answer : (3)

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