5-5 Inequalities in Two Triangles

In triangle ABC, if angle A is greater than angle C, and side BC is longer than side AC, then which of the following is true?

• Angle B is greater than angle A

• Side AB is longer than side CB

• Side AC is longer than side BC

• Side AB is shorter than side CB

In triangle XYZ, if angle X is 60 degrees, angle Y is 40 degrees, and side XY is 8 cm, then which of the following is true?

• Side YZ is shorter than side XZ

• Side YZ is longer than side XZ

• Side XY is longer than side YZ

• Angle Z is 90 degrees

If in triangle PQR, side PQ is 10 cm, side PR is 15 cm, and angle Q is 50 degrees, then which of the following is true?

• Triangle PQR is obtuse

• Triangle PQR is right-angled

• Triangle PQR is acute

• Triangle PQR is equilateral

Given triangle UVW with angle U = 70 degrees, angle V = 50 degrees, and side VW = 8 cm, which of the following is true?

• Side UV is longer than side UW

• Angle U is 90 degrees

• Side UV is shorter than side VW

• Side UW is longer than side UV

Given triangle XYZ with angle X = 60 degrees, angle Y = 40 degrees, and side XY = 10 cm, which of the following is true?

• Side XZ is longer than side YZ.

• Angle Z is 40 degrees.

• Side XY is longer than side XZ.

• Side YZ is longer than side XZ.

Using the hinge theorem, we can say that Angle 1 _____ Angle 2.

• Less than
• Greater than
• Equal to 
• Half of

Compare measure of angle Y and measure of angle M.

• measure of angle Y = measure of angle M
• measure of angle Y > measure of angle M
• measure of angle Y < measure of angle M
• Not enough information is given.

Two sides of each triangle in the circle are formed
from the radii of the circle. Compare EF and FG.

• EF = FG
• EF < FG
• EF > FG
• Not enough information is given.

Using the hinge theorem, we can say that AB _____ DC

• Greater than
• Less than
• Equal to
• Half of 

Select all that are TRUE.

• AB > AE

• BE > CE

• BE > CD

• CD < DE

• CE > BC