q4 w3 proving triangle inequality

Which theorem states that the sum of the lengths of any two sides is greater than the length of the third side?

• Exterior Angle Theorem

• Hinge Theorem

• Triangle Inequality Theorem

• The converse of the Hinge Theorem

Consider an isosceles ΔPRN with base PN. Point T is between points P and N, if m∠PRT > m∠NRT, what relation exists between the lengths of PT and NT?

• >

• <

• =

• cannot be determined

What theorem justifies your conclusion that m∠PRT > m∠NRT if PT is longer than NT?

• Exterior Angle Theorem

• Hinge Theorem

• Triangle Inequality Theorem

• The converse of the Hinge Theorem

Identify the theorem that makes the conclusion valid.

In a ΔEXS, XT bisects ES at T and XE > XS.

Therefore, ∠XTE > m∠XTS.

• Exterior Angle Theorem

• Hinge Theorem

• Triangle Inequality Theorem

• The converse of the Hinge Theorem

Mark has proved that BS > BW. Which of the following statements is not part of his proof?

• ES ≅ EW

• EB ≅ EB

• ∠SEB > ∠WEB

• ∠W < ∠S