Geometry Relationships Within Triangles

•  $\overline{VX}\ \cong\ \overline{XU}$  

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CCSS.HSG.CO.C.10

Which of the following measures can be side lengths of a triangle?

• 10, 12, 15

• 3, 9, 12

• 6, 6, 13

• 5, 7, 9

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CCSS.7.G.A.2

Use the information in the diagram to find x.

• 8

• 12

• 20

• 4

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CCSS.HSG.CO.C.9

In ΔABC, Q is the centroid. Find QM.

• 12

• 6

• 18

• 4

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CCSS.HSG.CO.C.10

What is the relationship between DC and AD?

• DC = AD

• DC < AD

• DC > AD

• Cannot tell

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CCSS.HSG.CO.C.10

If LN = 5, then AC = ______.

• 5

• 10

• 15

• 25

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CCSS.HSG.SRT.B.4

What is the value of x?

• 4

• 1

• 2

• 7

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CCSS.HSG.SRT.A.2

Segment AB is a midsegment in Triangle GHJ. What is the length of AB?

• 2

• 14

• 28

• 56

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CCSS.HSG.SRT.B.4

Two sides of a triangle are 7 and 12 inches. What is the range of the possible side length of the third side?

• 5 < x < 19

• 5 > x > 19

• 5 < x > 19

• 4 < x < 20

Name the smallest angle in this triangle.

• ∠A

• ∠B

• ∠C

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CCSS.HSG.CO.C.10