Inequalities of Two Triangles and Indirect Proof

Compare $m\angle ACD\ and\ m\angle GDE$

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CCSS.HSG.CO.C.10

Compare QT and ST

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CCSS.HSG.CO.C.9

Find the range of possible values for x.

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CCSS.HSG.CO.C.11

Find the range of possible values of x.

Find the range of possible values for x.

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CCSS.HSG.SRT.A.2

Find the range of possible values of x.

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CCSS.HSG.CO.C.11

Find the range of possible values for x

Which inequality relates $\angle FBG\ and\ \angle BFA$ ?

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CCSS.HSG.CO.C.9

Which inequality relates $\angle GBC\ and\ \angle FBA$ ?

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CCSS.HSG.CO.C.10

Four students are doing a scavenger hunt starting at the water fountain. They disagree one the directions and split up. Their paths are shown in the diagram. Which pair is closest to the fountain when they stop?

• Luther and Stephanie

• Mario and Lee

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CCSS.HSG.SRT.C.8