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Triangle Inequalities Answers

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In the triangles, and .

Angle G is congruent to angle P.

Angle G is smaller than angle P.

Angle G is larger than angle P.

Angle G is congruent to angle N.

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Which statements are true regarding the sides and angles of the triangle? Select three options.

is the longest side.

Angle X is the largest angle.

Angle Z is greater than angle Y.

is opposite the largest angle.

is the shortest side.

Consider the triangles shown.

VU < US < SR by the hinge theorem.

VU = US = SR by the hinge theorem.

mUTV = mUST = mSTR by the converse of the hinge theorem.

mUTV > mUTS > mSTR by the converse of the hinge theorem.

In the diagram, MQ = QP = PO = ON.

Segment OP is longer than segment MQ.

Segment MN has the same length as segment MP.

The measure of angle Q equals the measure of angle O.

Angle O is larger than angle Q.

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.

at his home

at the mall

between the mall and the library

between his home and the library

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.

Angle T is the smallest angle.

Angle V is the smallest angle.

Angles U and V must be equal.

Angles U and T must be equal.

Choose the word that correctly completes the statement.

adjacent

included

longest

shortest

Consider the triangle.

angle A, angle B, angle C

angle B, angle A, angle C

angle B, angle C, angle A

angle C, angle A, angle B

In the triangles, XY = MP and YZ = PN.

mY = 80°

mY = 85°

mY = 100°

mY = 180°

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

QS = DF

DF < QS

QS < DE

SR = DE

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Triangle Inequalities Answers

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