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Geometry Mini-Lesson

Geometry Mini-Lesson. Which of the following statements regarding the figure at left is true?. AB is the longest side of Δ ABC . AC is the longest side of Δ ABC . BC is the shortest side of Δ ABC . AB is the shortest side of Δ ABC.

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Geometry Mini-Lesson

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  1. Geometry Mini-Lesson Which of the following statements regarding the figure at left is true? • AB is the longest side of ΔABC. • AC is the longest side of ΔABC. • BC is the shortest side of ΔABC. • 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.

  2. Geometry Mini-Lesson MA.912.G.4.7: Apply the inequality theorems: triangle inequality, inequality in one triangle, and the Hinge Theorem.

  3. Geometry Mini-Lesson MA.912.G.4.7: Apply the inequality theorems: triangle inequality, inequality in one triangle, and the Hinge Theorem.

  4. Geometry Mini-Lesson 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? • BC is longer when Alex hits the ball with less force. • Angle A is greater when Alex hits the ball with less force. • Angle A is greater when Alex hits the ball with more force. • 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.

  5. Geometry Mini-Lesson Given the figure at right, which of the following could be the length of AB ? • 9 • 11 • 15 • 19 MA.912.G.4.7: Apply the inequality theorems: triangle inequality, inequality in one triangle, and the Hinge Theorem.

  6. Geometry Mini-Lesson Given the figure below, which of the following is true? • AD > AB • BD > BC • DC > AB • AB > DC MA.912.G.4.7: Apply the inequality theorems: triangle inequality, inequality in one triangle, and the Hinge Theorem.

  7. Geometry Mini-Lesson Which of the following lists the angles from least to greatest in measurement? • A, B, C • C, B, A • B, C, A • A, C, B MA.912.G.4.7: Apply the inequality theorems: triangle inequality, inequality in one triangle, and the Hinge Theorem.

  8. Geometry Mini-Lesson Which of the following statements regarding the figure is true? • XZ is the longest side of ΔXYZ. • YZ is the longest side of ΔXYZ. • XY is the shortest side of ΔXYZ. • 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.

  9. Geometry Mini-Lesson Which of the following lists the angles from least to greatest in measurement? • X, Y, Z • Z, Y, X • Y, X, Z • X, Z, Y MA.912.G.4.7: Apply the inequality theorems: triangle inequality, inequality in one triangle, and the Hinge Theorem.

  10. Geometry Mini-Lesson 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? • The distance between Flight 815 and Flight 630 is less at 12:30 than at noon. • The distance between Flight 815 and Flight 630 is greater at 12:30 than at noon. • The distance between Flight 815 and Flight 630 is the same at 12:30 as it was at noon. • 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.

  11. Geometry Mini-Lesson Given the figure, which of the following answer choices could be the length of AB ? • 7 • 10 • 13 • 20 MA.912.G.4.7: Apply the inequality theorems: triangle inequality, inequality in one triangle, and the Hinge Theorem.

  12. Geometry Mini-Lesson Given the figure at left, which of the following answer choices is true? • WX > ZY • WZ > XZ • XY > WX • XZ > ZY MA.912.G.4.7: Apply the inequality theorems: triangle inequality, inequality in one triangle, and the Hinge Theorem.

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