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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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