BJU Geometry

​6.6 Inequalities in Two Triangles

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Multiple Choice

What theorem states that "If two sides of a $$\Delta$$ are  $$\cong$$ to two sides of another  $$\Delta$$  , and the included  $$\angle$$ s are not  $$\cong$$ , then the longer third side is opposite the larger included angle." ? #18

• Vertical Angle Theorem

• SAA Theorem

• PAIC Theorem 

• Hinge Theorem

Multiple Choice

BC _____ EF #1

• <

• >

• =

• No conclusion can be made.

Multiple Choice

Complete with >, < or =. #3

• >

• <

• =

• I don't know.

Multiple Choice

Complete with >, < or =. #4

• >

• <

• =

• I don't know.

Multiple Choice

Complete with >, < or =. #5

• >

• <

• =

• I don't know.

Multiple Choice

Complete with >, < or =. #6

• >

• <

• =

• I don't know.

Multiple Choice

Answer the question that follows. #8

• Plane 1

• Train 2

• Plane 2

• Train 1

Multiple Choice

Compare the measure of angle Y and the measure of angle M. #17

• 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.

Multiple Choice

The Hinge Theorem is also called _______________________. #19

• SSS Inequality Theorem

• SAS Inequality Theorem

• ASA Inequality Theorem

• SAA Inequality Theorem

Multiple Choice

#28

• 10.5

• 21

• 28

• 15

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Multiple Choice

What conclusion can be drawn from the illustration if  $$\overline{SR}>\overline{MJ}$$ ? #21

• $$\angle x>\angle y$$  

• $$\angle x>\angle z$$  

• $$\angle z>\angle x$$  

• $$\angle z<\angle x$$  

Multiple Choice

Using the Hinge theorem, we can say that Angle 1 _____ Angle 2. #22

• Less than

• Greater than

• Equal to 

• Half of

Multiple Choice

#24

• AB > AC

• AB < AC

• AB = AC

• No Conclusion Can be Made

Multiple Choice

#32

• Reflexive Property

• Hinge Theorem

• Converse of Hinge theorem

• Given

Multiple Select

#35

• ∠CAR and ∠BCR are included angles

• ∠ACR and ∠BCR are included angles

• ∠ACR ≅ ∠BCR

• ∠ACR > ∠BCR