Which of the following
statements regarding the
figure at left is true?
A.
B.
C.
D.
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.
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.
B.
C.
D.
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.
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 > AB
D. 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, C
B. C, B, A
C. B, C, A
D. 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, Z
B. Z, Y, X
C. Y, X, Z
D. 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 > ZY
B. WZ > XZ
C. XY > WX
D. XZ > ZY
MA.912.G.4.7: Apply the inequality theorems: triangle inequality, inequality in one
triangle, and the Hinge Theorem.