Which of the following statements is not true?

• ∠d = ∠a+∠b

• m∠b < m∠d

• m∠a < m∠d

• ∠d = ∠a+∠b

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

• ZY, XZ, XY

• ZY, XY, XZ

• XY, XZ, ZY

• XY, YZ, ZX

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

• 20 feet, 20 feet, 20 feet

• 15 feet, 20 feet, 25 feet

• 10 feet, 25 feet, 25 Feet

• 10 feet, 15 feet, 35 feet

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

• m∠3 > m∠4

• m∠4 > m∠2

• m∠4 < m∠2

• m∠1 < m∠4

Find the possible values of x.

• 9 < x < 15

• 6 < x < 9

• 3 < x < 16

• 3< x< 15

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

• 0 feet and 134 feet

• 36 feet and 134 feet

• 35 feet and 135 feet

• 0 feet and 135 feet

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

• PR = XZ

• PQ = XY

• QR> YZ

• QR< YZ

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

• AC≤ XZ

• AC< XZ

• AC> XZ

• AC = XZ

Which inequality describes the possible values of x?

• x> 120

• x < 120

• x> 30

• x<30

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

• m∠ EAB < m∠CBD

• m∠ EAB > m∠CBD

• EB > CD

• EB < CD