Which shows the sides of ∆XYZ in order from longest to shortest?

Carlos has 60 feet of fence to make a triangular garden. Which of the following sets of side lengths will NOT work?

Angle 4 is an exterior angle of ∆PQR. Which statement is true?

Find the possible values of x.

A triangular playground has two sides measuring 50 feet and 85 feet. What are the possible measures of the third side of the triangle?

In the figure below m∠P < m∠X. What conclusion can you make using the Hinge Theorem?

In ∆ABC and ∆XYZ, AB = XY, BC =YZ, and m∠B> m∠Y. What statement describes the relationship between AC and XZ?

Which inequality describes the possible values of x?

Which statement can be proven using the converse of the Hinge Theorem?

Which of the following statement is true.

Which of the following statement is true if m∠QRW < m∠XRW?

Maria has 80 feet of fence to make a triangular garden. Which of the following sets of side lengths will NOT work?

Angle 2 and 3 are interior angles of ∆PQR. Which statement is true?

What is the value of x?

A triangular garden has two sides measuring 15 feet and 25 feet. What are the possible measures of the third side of the triangle?

In the figure below m∠P < m∠X. What conclusion can you make using the Hinge Theorem?

In ∆MNY and ∆QRS, MN=QR, NY=RS, and m∠N>m∠R. What statement describes the relationship between AC and XZ?

Find the range of possible measures for the third side.

Find the value of x

The triangle inequality theorem states the sum of the lengths of any two sides of a

triangle is ______________ the length of the third side.

Name the smallest angle in this triangle.

Does this triangle with these side lengths exist? 12, 9, 6

In ∆CAT and ∆DOG shown below, which of the following statement is true?

Two sides of a triangle have side length of 15 meters and 10 meters. What is the range of possible lengths of the third side?

Cathy has a pet rabbit and wants to build a pen for it. She has 3 pieces of lumber: one is 4 m, one is 8 m, and the other is 9 m long. Can she build a closed triangular pen with these three boards

Which of the following could be the length of $$\overline{AB}$$ ?

In ∆TOP , $$\overline{TO}$$ =8, $$\overline{TP}$$ =10, and $$\overline{OP}$$ = 6. Name the smallest and largest angle.

Steven has proved that $$\overline{LO}$$ > $$\overline{EO}$$ . Which of the following statement is not part of his

proof?

If side A is congruent to side D, and side C is congruent to side F, then angle X is greater than Y, then