Worksheet: Types of Triangles: Angles and Sides

In this worksheet, we will practice classifying triangles as isosceles, scalene, or equilateral and as acute, right, or obtuse.

Q1:

Which of the following describes the given shape?

  • Aobtuse triangle
  • Bequilateral triangle
  • Cright triangle
  • Disoceles triangle
  • Eacute triangle

Q2:

Which of the following describes the given shape?

  • Aacute isoceles triangle
  • Bacute scalene triangle
  • Cobtuse isoceles triangle
  • Dright scalene triangle
  • Eright isoceles triangle

Q3:

Which of the following describes the given shape?

  • Aright triangle
  • Bisoceles triangle
  • Cobtuse triangle
  • Dequilateral triangle
  • Escalene triangle

Q4:

What do these shapes have in common?

  • ABoth are obtuse triangles.
  • BBoth are isosceles triangles.
  • CBoth are right triangles.
  • DBoth are equilateral triangles.
  • EBoth are acute triangles.

Q5:

Which of the following describes the given shape?

  • Aacute triangle
  • Bisoceles triangle
  • Cright triangle
  • Dobtuse triangle
  • Eequilateral triangle

Q6:

Which of the following describes the given shape?

  • Aobtuse triangle
  • Bright triangle
  • Cisoceles triangle
  • Dequilateral triangle
  • Eacute triangle

Q7:

Which of the following describes the given shape?

  • Aright triangle
  • Bobtuse triangle
  • Cisoceles triangle
  • Dequilateral triangle
  • Escalene triangle

Q8:

Determine whether this statement is true or false: Some right triangles are isosceles.

  • Atrue
  • Bfalse

Q9:

Determine whether this statement is true or false: Some obtuse triangles are isosceles.

  • Afalse
  • Btrue

Q10:

Determine whether this statement is true or false: The angles of the equilateral triangle are acute.

  • Atrue
  • Bfalse

Q11:

Determine whether this statement is true or false: The angles of the isosceles triangle are always acute.

  • Atrue
  • Bfalse

Q12:

What do these shapes have in common?

  • ABoth are obtuse triangles.
  • BBoth are isosceles triangles.
  • CBoth are acute triangles.
  • DBoth are right triangles.
  • EBoth are equilateral triangles.

Q13:

Describe the triangle using an adjective from the list acute, right, obtuse and the list equilateral, isosceles, scalene.

  • Aacute equilateral
  • Bacute scalene
  • Cobtuse scalene
  • Dright scalene

Q14:

Determine whether this statement is true or false: All acute triangles are isosceles.

  • Atrue
  • Bfalse

Q15:

If 𝑚∠𝐴=56∘, 𝑚∠𝐵=66∘, and 𝑚∠𝐶=58∘, what is the type of △𝐴𝐵𝐶 in terms of the measures of its angles?

  • Aright-angled triangle
  • Bacute-angled triangle
  • Cobtuse-angled triangle

Q16:

What do these shapes have in common?

  • ABoth are isosceles triangles.
  • BBoth are acute triangles.
  • CBoth are right triangles.
  • DBoth are equilateral triangles.
  • EBoth are triangles.

Q17:

Which of the following is true of triangle 𝐴𝐵𝐶?

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

Q18:

What do we call a triangle that has angles 80∘, 68∘, and 32∘?

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

Q19:

One of the base angles of an isosceles triangle is 65∘. What type of triangle is this?

  • Aobtuse angled
  • Bequilateral
  • Cright angled
  • Dacute angled

Q20:

What do these shapes have in common?

  • ABoth are isosceles triangles.
  • BBoth are right triangles.
  • CBoth are acute triangles.
  • DBoth are obtuse triangles.
  • EBoth are equilateral triangles.

Q21:

What do these shapes have in common?

  • ABoth are isosceles triangles.
  • BBoth are right triangles.
  • CBoth are equilateral triangles.
  • DBoth are acute triangles.
  • EBoth are obtuse triangles.

Q22:

Two angles in a triangle are 83∘ and 48∘. What kind of triangle is it, in terms of its angles?

  • Aacute-angled
  • Bright-angled
  • Cobtuse -angled

Q23:

Is △𝐴𝐵𝐶 a scalene, isosceles, or equilateral triangle?

  • Ascalene triangle
  • Bequilateral triangle
  • Cisosceles triangle

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