Triangle Inequalities Answers
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In the diagram, MQ = QP = PO = ON.
A
Segment OP is longer than segment MQ.B
Segment MN has the same length as segment MP.C
The measure of angle Q equals the measure of angle O.D
Angle O is larger than angle Q.2
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Consider the triangle.
A
angle A, angle B, angle CB
angle B, angle A, angle CC
angle B, angle C, angle AD
angle C, angle A, angle B3
In the triangles, QR = DE and SR = FE.
A
QS = DFB
DF < QSC
QS < DED
SR = DE4
Gene starts from home and travels 3 miles north to the shopping mall. From the shopping mall, he travels 2 miles west to the library. Then, from the library, he travels about 3.6 miles to return home. The entire trip forms a triangle.
A
at his homeB
at the mallC
between the mall and the libraryD
between his home and the library5
Choose the word that correctly completes the statement.
A
adjacentB
includedC
longestD
shortest6
Consider the triangles shown.
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.
D
mUTV > mUTS > mSTR by the converse of the hinge theorem.7
In the triangles, XY = MP and YZ = PN.
A
mY = 80°B
mY = 85°C
mY = 100°D
mY = 180°8
Consider the two triangles.
A
By the converse of the hinge theorem, mC = mS.B
By the hinge theorem,TS > AC.C
By the converse of the hinge theorem, mS > mC.D
By the hinge theorem, BA = RT.9
The side lengths of triangle ABC are written in terms of the variable p, where p ≥ 3.
A
mA > mC > mBB
mB > mA > mCC
mC > mA > mBD
mC > mB > mA10
In the triangles, and .
A
and are the same length.
B
is longer than .C
is shorter than .D
is shorter than or the same length as .Did you find these answers helpful?
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