Classifying Triangles Worksheet

**Page 1**

1.

Which of the figures appears to be a right triangle?

a. | Figure 2 | ||

b. | Figure 4 | ||

c. | Figure 1 | ||

d. | Figure 3 |

One of the angles in Figure 3 measures 90°.

Figure 3 is a right triangle.

Correct answer : (4)

2.

Identify the hypotenuse of the ΔPQR.

a. | side PQ | ||

b. | angle P | ||

c. | side QR | ||

d. | angle Q |

In the figure,

The side opposite to

Side QR is the hypotenuse of the ΔPQR.

Correct answer : (3)

3.

Which of these is an acute angle in ΔABC?

a. | $\angle $BCA | ||

b. | $\angle $ABC | ||

c. | $\angle $CBA | ||

d. | $\angle $ACA |

Correct answer : (1)

4.

Identify the leg(s) in the triangle ABC.

a. | AB | ||

b. | AB, BC | ||

c. | AB, AC | ||

d. | AC, BC |

[The side opposite to the right angle is the hypotenuse; it is the longest side in the right triangle.]

AB and BC are the legs of the triangle ABC.

[The other two sides are the legs of the triangle.]

Correct answer : (2)

5.

Which of these is the longest side in the right triangle shown?

a. | side LM | ||

b. | side KL | ||

c. | All sides are equal | ||

d. | side KM |

The side opposite to

Side KM is the longest side in the right triangle.

Correct answer : (4)

6.

Classify the triangle by the measure of its angles.

a. | acute triangle | ||

b. | straight | ||

c. | obtuse triangle | ||

d. | right triangle |

In the figure, one of the angles is 110° which is greater than 90°.

Therefore, the triangle is an obtuse triangle.

Correct answer : (3)

7.

A triangle having all its sides of equal length is called an _______ triangle.

a. | isosceles | ||

b. | equal | ||

c. | equilateral | ||

d. | scalene |

Correct answer : (3)

8.

A triangle having two sides of equal length is known as an _________ triangle.

a. | acute angle | ||

b. | isosceles | ||

c. | scalene | ||

d. | equilateral |

Correct answer : (2)

9.

A triangle having all its sides of different lengths is known as _______ triangle.

a. | isosceles | ||

b. | equilateral | ||

c. | scalene | ||

d. | unequal |

Correct answer : (3)

10.

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

a. | obtuse triangle | ||

b. | straight triangle | ||

c. | acute triangle | ||

d. | right triangle |

Correct answer : (3)