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Worksheet: Classifying Triangles by Angles

Q1:

In , , , and . What kind of angle is ?

  • Aacute
  • Bright angle
  • Cobtuse

Q2:

In , , , and . What kind of angle is ?

  • Aacute
  • Bobtuse
  • Cright angle

Q3:

In , , , and . What kind of angle is ?

  • Aacute
  • Bright angle
  • Cobtuse

Q4:

Suppose that, in , cm, , and . What kind of triangle is this, in terms of its angles?

  • AIt is an obtuse triangle.
  • BIt is a right triangle.
  • CIt is an acute triangle.

Q5:

Which of the following is true of triangle ?

  • AAll its angles are acute.
  • BIt is a right-angled triangle.
  • CIt has an obtuse angle.

Q6:

Which of the following is true of triangle ?

  • AAll its angles are acute.
  • BIt is a right-angled triangle.
  • CIt has an obtuse angle.

Q7:

Given that , what type of triangle is in terms of its angles?

  • Aobtuse triangle
  • Bright triangle
  • Cacute triangle

Q8:

If , , and , what is the type of in terms of the measures of its angles?

  • Aobtuse triangle
  • Bright triangle
  • Cacute triangle

Q9:

If , , and , what is the type of in terms of the measures of its angles?

  • Aobtuse triangle
  • Bright triangle
  • Cacute triangle

Q10:

What do we call a triangle that has angles , , and ?

  • Aan obtuse triangle
  • Ba right triangle
  • Can acute triangle

Q11:

In the figure, is a rectangle. Determine what type of triangle is, in terms of the measures of its angles.

  • Aobtuse triangle
  • Bright triangle
  • Cacute triangle

Q12:

In the figure, is a rectangle. Determine what type of triangle is, in terms of the measures of its angles.

  • Aacute triangle
  • Bright triangle
  • Cobtuse triangle

Q13:

Given that is a triangle in which , determine the triangle’s type in terms of its angles without finding their measures.

  • Aobtuse triangle
  • Bright triangle
  • Cacute triangle

Q14:

In the given figure, is a quadrilateral in which , , , and . What type of triangle is in terms of the measures of its angles?

  • Aright triangle
  • Bobtuse triangle
  • Cacute triangle

Q15:

Suppose that and in the figure. What kind of triangle is , in terms of its angles?

  • Aacute triangle
  • Bright triangle
  • Cobtuse triangle