Inequalities in One and Two Triangles

If two sides of one triangle are congruent to two sides of another triangle, and the included angle of the first is larger than the included angle of the second, then the third side of the first is ____________ the third side of the second.

• shorter than

• longer than

• equal to

Which choice can be used to find the possible values of x?

• None of these

Given: The diagram shown here and the fact that \overline{TV}\cong\overline{UW} and TU>VW which statement below is TRUE?

Compare m∠TUW and m∠VUW

• m∠TUW < m∠VUW

• m∠TUW > m∠VUW

• m∠TUW = m∠VUW

• 10.5

• 15

• 21

• 28

Find the range of possible values of x.

• x < 21

• x < 41

• -20 < x < 21

• -20 < x < 160

Find the range of possible values of x.

• x < 7

• x > 7

Find the range of possible values for x.

• 2 < x < 6

• x < 6

• x < 2

• x > 6

Find the range of possible values for x.

• x < 33

• -4.5 < x < 33

• x < 85.5

• -4.5 < x < 85.5