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Worksheet: Classifying Triangles by Angles

Q1:

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

  • Aobtuse
  • Bacute
  • Cright angle

Q2:

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

  • Aright angle
  • Bacute
  • Cobtuse

Q3:

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

  • Aobtuse
  • Bacute
  • Cright angle

Q4:

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

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

Q5:

Which of the following is true of triangle ?

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

Q6:

Which of the following is true of triangle ?

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

Q7:

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

  • Aacute triangle
  • Bobtuse triangle
  • Cright triangle

Q8:

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

  • Aacute triangle
  • Bobtuse triangle
  • Cright triangle

Q9:

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

  • Aacute triangle
  • Bobtuse triangle
  • Cright triangle

Q10:

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

  • Aan acute triangle
  • Ban obtuse triangle
  • Ca right triangle

Q11:

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

  • Aacute triangle
  • Bobtuse triangle
  • Cright triangle

Q12:

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

  • Aobtuse triangle
  • Bacute triangle
  • Cright triangle

Q13:

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

  • Aacute triangle
  • Bobtuse triangle
  • Cright 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?

  • Aacute triangle
  • Bright triangle
  • Cobtuse triangle

Q15:

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

  • Aobtuse triangle
  • Bacute triangle
  • Cright triangle

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