MA.912.G.4.7: Apply the inequality theorems: triangle inequality, inequality in one triangle, and the Hinge Theorem.

Which of the following statements regarding the figure at left is true?

A. AB is the longest side of ΔABC. B. AC is the longest side of ΔABC. C. BC is the shortest side of ΔABC. D. AB is the shortest side of ΔABC.

MA.912.G.4.7: Apply the inequality theorems: triangle inequality, inequality in one triangle, and the Hinge Theorem.

MA.912.G.4.7: Apply the inequality theorems: triangle inequality, inequality in one triangle, and the Hinge Theorem.

MA.912.G.4.7: Apply the inequality theorems: triangle inequality, inequality in one triangle, and the Hinge Theorem.

Alex is playing tetherball and notices that when he hits the ball with more force, it swings in a wider arc. Considering that AB=AB and AC=AC in the figures below, what can Alex conclude about playing tetherball?

A. BC is longer when Alex hits the ball with less force. B. Angle A is greater when Alex hits the ball with less force. C. Angle A is greater when Alex hits the ball with more force. D. BC is the same length whether Alex hits the ball with more or less force.

MA.912.G.4.7: Apply the inequality theorems: triangle inequality, inequality in one triangle, and the Hinge Theorem.

Given the figure at right, which of the following could be the length of AB ?

A.9 B.11 C.15 D.19

MA.912.G.4.7: Apply the inequality theorems: triangle inequality, inequality in one triangle, and the Hinge Theorem.

Given the figure below, which of the following is true?

A. AD > AB B. BD > BC C. DC > ABD. AB > DC

MA.912.G.4.7: Apply the inequality theorems: triangle inequality, inequality in one triangle, and the Hinge Theorem.

Which of the following lists the angles from least to greatest in measurement?

A. A, B, CB. C, B, AC. B, C, AD. A, C, B

MA.912.G.4.7: Apply the inequality theorems: triangle inequality, inequality in one triangle, and the Hinge Theorem.

Which of the following statements regarding the figure is true?

A. XZ is the longest side of ΔXYZ. B. YZ is the longest side of ΔXYZ. C. XY is the shortest side of ΔXYZ. D. YZ is the shortest side of ΔXYZ.

MA.912.G.4.7: Apply the inequality theorems: triangle inequality, inequality in one triangle, and the Hinge Theorem.

Which of the following lists the angles from least to greatest in measurement?

A. X, Y, ZB. Z, Y, XC. Y, X, ZD. X, Z, Y

MA.912.G.4.7: Apply the inequality theorems: triangle inequality, inequality in one triangle, and the Hinge Theorem.

Thierry is monitoring two jets passing by his airport on radar as shown in the figure below. If A = 30° at noon, and A = 15° at 12:30, what can Thierry conclude about the distance between the two flights?

A. The distance between Flight 815 and Flight 630 is less at 12:30 than at noon.

B. The distance between Flight 815 and Flight 630 is greater at 12:30 than at noon.

C. The distance between Flight 815 and Flight 630 is the same at 12:30 as it was at noon.

D. The distance between Flight 815 and Flight 630 has not changed significantly between 12:30 and noon.

MA.912.G.4.7: Apply the inequality theorems: triangle inequality, inequality in one triangle, and the Hinge Theorem.

Given the figure, which of the following answer choices could be the length of AB ?

A. 7 B. 10 C. 13 D. 20

MA.912.G.4.7: Apply the inequality theorems: triangle inequality, inequality in one triangle, and the Hinge Theorem.

Given the figure at left, which of the following answer choices is true?

A. WX > ZYB. WZ > XZC. XY > WXD. XZ > ZY