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Types of Triangles Practice Questions

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Updated on Oct 5, 2011

Review the following concept if necessary: Types of Triangles Study Guide.

Types of Triangles Practice Questions

Problems

Classify each triangle shown or described as equilateral, isosceles, or scalene.

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  6. ΔABC with AB = 10, BC = 10, and AC = 8.
  7. ΔDEF with DE = 6, EF = 8, and DF = 10.
  8. ΔXYZ with XY = 7, YZ = 7, and XZ = 7.

Name the legs, vertex angle, base angles, and base of the isosceles triangles.

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Classify each triangle shown or described as acute, right, obtuse, or equiangular.

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  5. ΔMNO with mM= 130°, mN = 30°, and mO = 20°.
  6. ΔRST with mR = 80°, mS = 45°, and mT = 55°.
  7. ΔGHI with mG = 20°, mH = 70°, and mI = 90°.
  8. Determine whether the following statements are true or false.

  9. The vertex angle of an isosceles triangle will always be the smallest angle.
  10. An equilateral triangle is also an equiangular triangle.
  11. An isosceles triangle may also be a right triangle.
  12. It is possible for a scalene triangle to be equiangular.
  13. It is possible for a right triangle to be equilateral.
  14. It is possible for an obtuse triangle to be isosceles.
  15. An equilateral triangle is also an acute triangle.
  16. A triangle can have two obtuse angles.
  17. A triangle cannot have more than one right angle.
  18. Give the answer to each question based on the readings from the lesson.

  19. The non-congruent side of an isosceles triangle is called the _____.
  20. List the types of triangles with at least two acute angles.
  21. A small curve made on an angle of a triangle signifies _____.

Answers

  1. equilateral
  2. isosceles
  3. scalene
  4. scalene
  5. scalene
  6. isosceles
  7. scalene
  8. equilateral
  9. legs: and
  10. vertex angle: Y

    base angles: X and Z

    base:

  11. legs: and
  12. vertex angle: S

    base angles: R and T

    base:

  13. legs: and
  14. vertex angle: E

    base angles: D and F

    base:

  15. acute
  16. equiangular and acute
  17. right
  18. obtuse
  19. obtuse
  20. acute
  21. right
  22. false
  23. true
  24. true
  25. false
  26. false
  27. true
  28. true
  29. false
  30. true
  31. base
  32. acute, equiangular, right, obtuse, isosceles, equilateral, and scalene
  33. a congruent angle
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