AnswersGeometry - Semester 1 PathwaysTriangles and Their Side Lengths

Triangle Inequalities Answers

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In the triangles, and .

Question illustration
A
and are the same length.
Option A
B
is longer than .
Option B
C
is shorter than .
Option C
D
is shorter than or the same length as .
Option D
3

Triangle T U V is shown. Side T U has a length of 5 units, side U V has a length of 8 units, and side T V has a length of 11 units.

Question illustration
A
Angle T is the smallest angle.
B
Angle V is the smallest angle.
C
Angles U and V must be equal.
D
Angles U and T must be equal.
4

Consider the triangles shown.

Question illustration
A
VU < US < SR by the hinge theorem.
B
VU = US = SR by the hinge theorem.
C
mUTV = mUST = mSTR by the converse of the hinge theorem.
Option C
D
mUTV > mUTS > mSTR by the converse of the hinge theorem.
Option D
5

In the triangles, QR = DE and SR = FE.

Question illustration
A
QS = DF
B
DF < QS
C
QS < DE
D
SR = DE

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