Short Quiz: Triangle Inequalities of Two Triangles

1. Hinge theorem states that if two triangles have:

• A.    two congruent sides, then the triangle with the smaller included angle between those sides will have the longer third side.

• B.    two congruent sides, then the triangle with the larger included angle between those sides will have the longer third side.

• C.    no congruent sides, then the two triangles are congruent.

• D.    two congruent sides, but the third sides have different lengths, then the two triangles are congruent.

• A.    AC is longer than DF.

• B.    DF is shorter than AC.

• C.    AB is longer than DE.

• D.    DF is longer than AC.

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CCSS.HSG.CO.B.7

3. The position of the swing changes based on how hard the swing is pushed. Which pairs of segments are congruent?

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CCSS.8.G.A.2

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CCSS.HSG.CO.C.10

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CCSS.8.G.A.5

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CCSS.HSG.CO.C.10

7. From the inequalities in the triangles shown, a conclusion can be reached using the converse of hinge theorem. Which of the following is the last statement?

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CCSS.HSG.CO.C.9

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CCSS.8.G.A.5

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CCSS.HSG.CO.C.11