Triangle Inequalities

Question 1

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

Revolt · Accepted Answer

mY = 100°

Question 2

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.

Revolt · Accepted Answer

Angle V is the smallest angle.

Question 3

The side lengths of triangle ABC are written in terms of the variable p, where p ≥ 3.

Revolt · Accepted Answer

mC > mA > mB

Question 4

Choose the word that correctly completes the statement.

Revolt · Accepted Answer

longest

Question 5

Consider the two triangles.

Revolt · Accepted Answer

By the converse of the hinge theorem, mS > mC.

Question 6

Lee is creating a garden with the dimensions shown.

Revolt · Accepted Answer

The path along is longer than the path along , and the path along is longer than the path along .

Question 7

In the triangles, and .

Revolt · Accepted Answer

Angle G is smaller than angle P.

Question 8

In the triangles, and .

Revolt · Accepted Answer

is longer than .

Question 9

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

Revolt · Accepted Answer

Angle X is the largest angle.; Angle Z is greater than angle Y.; is the shortest side.

Question 10

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

Revolt · Accepted Answer

Angle O is larger than angle Q.

Triangle Inequalities Answers