Hinge Theorem (4th Qtr Module 1)

Complete the statement:
_____ Theorem states that 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 triangle is longer than the third side of the second triangle.

Complete the statement:
Hinge Theorem states that if two sides of one triangle are congruent to two sides of another triangle, and the included angle of the first is ______ than the included angle of the second, then the third side of the first triangle is longer than the third side of the second triangle.

Complete the statement:
Hinge Theorem states that 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 triangle is ______ than the third side of the second triangle.

Fill in the blank:
CONVERSE OF HINGE THEOREM: If two sides of one triangle are _________ to two sides of another triangle, and the third side of the first is longer than the third side of the second, then the included angle of the first triangle is larger than the included angle of the second triangle.

Fill in the blank:
CONVERSE OF HINGE THEOREM: If two sides of one triangle are congruent to two sides of another triangle, and the third side of the first is longer than the third side of the second, then the included angle of the _____ triangle is larger than the included angle of the second triangle.

Fill in the blank:
CONVERSE OF HINGE THEOREM: If two sides of one triangle are congruent to two sides of another triangle, and the third side of the first is longer than the _____ side of the second, then the included angle of the first triangle is larger than the included angle of the second triangle.

Which part/s answers Condition #1 of Hinge Theorem?

• AW = AD

• AS = AS
  & AW = AD

• AS = AS
  & WS = DS

Which property of congruence prove that AS = AS?

• Reflexive

• Symmetric

• Transitive

Tags

CCSS.HSG.SRT.B.5

Which part/s answers Condition #2 of Hinge Theorem?

• ∠WAS < ∠DAS

• ∠WAS > ∠DAS

• ∠WAS = ∠DAS

Choose the correct symbol and reason to complete the inequality of the third side WS _ DS

• WS > DS because the included angle WAS is greater than the included angle DAS

• WS < DS because the included angle WAS is less than the included angle DAS

• WS > DS because the included angle DAS is greater than the included angle WAS

Tags

CCSS.HSG.CO.C.10