Triangle Inequalities Answers

What is the order of the angles from largest to smallest?

Angle W, Angle X, Angle Y

Angle X, Angle W, Angle Y

Angle X, Angle Y, Angle W

Angle Y, Angle W, Angle X

m∠ < m∠ < m∠

Answer:

m∠ < m∠ < m∠

Answer:

m∠ < m∠ < m∠

Answer:

If the ship can travel to either dock, which dock would be closest? Explain your answer.

Michael’s dock would be closer because the angle opposite is smaller.

Jacob’s dock would be closer because the angle opposite is smaller.

Michael’s dock would be closer because the docks are 20 miles apart.

Jacob’s dock would be closer because the docks are 20 miles apart.

Given AC ≅ FE and CB ≅ ED which statement is correct?

Angle A is larger than angle B.

Angle C is congruent to angle E.

Angle C is smaller than angle E.

Angle C is larger than angle E.

A farmer is building three triangular pens such that . If UV > US > SR, which is a true statement?

m∠UTV = m∠UTS = m∠STR

m∠UTV < m∠UTS < m∠STR

m∠UTS > m∠UTV > m∠STR

m∠UTV > m∠UTS > m∠STR

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