Angles and Triangles Worksheet

Question 1

An angle measures 35 degrees. Is it acute, right, or obtuse?

Accepted Answer

An angle that measures 35 degrees is acute because it is less than 90 degrees.

Question 2

An angle measures 90 degrees. Is it acute, right, or obtuse?

Accepted Answer

An angle that measures 90 degrees is a right angle because right angles measure exactly 90 degrees.

Question 3

An angle measures 120 degrees. Is it acute, right, or obtuse?

Accepted Answer

An angle that measures 120 degrees is obtuse because it is greater than 90 degrees but less than 180 degrees.

Question 4

Draw one acute angle and label it with a measure that makes sense.

Accepted Answer

A correct answer shows an angle less than 90 degrees, such as a 45 degree angle, and labels it clearly.

Question 5

Draw one right angle and label it with its measure.

Accepted Answer

A correct answer shows a square corner shape and labels the angle as 90 degrees.

Question 6

Draw one obtuse angle and label it with a measure that makes sense.

Accepted Answer

A correct answer shows an angle greater than 90 degrees and less than 180 degrees, such as 110 degrees, and labels it clearly.

Question 7

A triangle has 3 equal sides. What kind of triangle is it by its sides?

Accepted Answer

A triangle with 3 equal sides is an equilateral triangle because all of its sides are the same length.

Question 8

A triangle has 2 equal sides and 1 side that is a different length. What kind of triangle is it by its sides?

Accepted Answer

A triangle with 2 equal sides is an isosceles triangle because exactly two sides have the same length.

Question 9

A triangle has 3 sides of different lengths. What kind of triangle is it by its sides?

Accepted Answer

A triangle with 3 different side lengths is a scalene triangle because no sides are equal.

Question 10

A triangle has one right angle. What kind of triangle is it by its angles?

Accepted Answer

A triangle with one right angle is a right triangle because one of its angles measures exactly 90 degrees.

Question 11

A triangle has three acute angles. What kind of triangle is it by its angles?

Accepted Answer

A triangle with three acute angles is an acute triangle because all of its angles are less than 90 degrees.

Question 12

A triangle has one obtuse angle. What kind of triangle is it by its angles?

Accepted Answer

A triangle with one obtuse angle is an obtuse triangle because one angle is greater than 90 degrees.

Question 13

Can a triangle have two right angles? Explain why or why not.

Accepted Answer

No, a triangle cannot have two right angles because two right angles already add up to 180 degrees, and a triangle must have three angles that add up to 180 degrees total.

Question 14

Can a triangle have two obtuse angles? Explain why or why not.

Accepted Answer

No, a triangle cannot have two obtuse angles because each obtuse angle is greater than 90 degrees, so two obtuse angles would add to more than 180 degrees.

Question 15

A triangle has side lengths 5 cm, 5 cm, and 8 cm. Classify the triangle by its sides.

Accepted Answer

This triangle is isosceles because it has two equal side lengths, 5 cm and 5 cm.

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