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How well do you understand triangle inequalities?

Try this set of practice questions before you take the graded quiz for this lesson.  If you do not do well on this self-check, review the lesson and try again.

Which relationship describes a part to a whole?

  1. body - stomach
  2. school - building
  3. tire - car
  4. jewels - sapphire

A tire is a part of a car.

A tire is a part of a car.

A tire is a part of a car.

A tire is a part of a car.

From the information given in the triangle, and assuming side AC is the longest side, which statement is true about the angles?

  1. ∠B = ∠C
  2. B is the largest angle.
  3. A < B
  4. ∠A = ∠B

According to the Triangle Inequality Theorem for Angles, the largest angle is opposite the longest side.

Correct! According to the Triangle Inequality Theorem for Angles, the largest angle is opposite the longest side.

According to the Triangle Inequality Theorem for Angles, the largest angle is opposite the longest side.

According to the Triangle Inequality Theorem for Angles, the largest angle is opposite the longest side.

Given triangle ABC with sides A, B, and C, which equations are true based on the Triangle Inequality Theorem?

  1. A < B + C
    B < A + C
    C < A + B
  2. A = B + C
    B = A + C
    C = A + B
  3. A > B + C
    B > A + C
    C > A + B
  4. A = B - C
    B = A - C
    C = A - B

The Triangle Inequality Theorem states the three inequalities about the sides of triangle ABC, such as A < B + C; B < A + C; C < A + B.

The Triangle Inequality Theorem states the three inequalities about the sides of triangle ABC, such as A < B + C; B < A + C; C < A + B.

The Triangle Inequality Theorem states the three inequalities about the sides of triangle ABC, such as A < B + C; B < A + C; C < A + B.

The Triangle Inequality Theorem states the three inequalities about the sides of triangle ABC, such as A < B + C; B < A + C; C < A + B.

Which triple combination of numbers is a triangle?

  1. 5, 10, 15
  2. 20, 10, 9
  3. 15, 12, 9
  4. 12, 2, 14

The combination 15, 12, and 9 form a triangle because any of the numbers (5, 12, or 9) is less than the sum of the other two numbers.

The combination 15, 12, and 9 form a triangle because any of the numbers (5, 12, or 9) is less than the sum of the other two numbers.

The combination 15, 12, and 9 form a triangle because any of the numbers (5, 12, or 9) is less than the sum of the other two numbers.

The combination 15, 12, and 9 form a triangle because any of the numbers (5, 12, or 9) is less than the sum of the other two numbers.

Summary

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