Geometry Perpendicular and Angle Bisectors

In Triangle LMG, MK is an angle bisector, m∠1 = 2n + 10, m∠2 = 4n – 32, and m∠L =60^o. Find m∠G.

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• 52

• 104

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CCSS.HSG.CO.C.9

In the picture above, CG, EG, and AG are angle bisectors.

CG = 15, GF = 9. Find BG.

• 17.5

• 15

• 9

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CCSS.HSG.CO.C.9

In ∆ABC, NG, GP, and GM are perpendicular bisectors. Find AG.

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• 15

• 17

• 9

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CCSS.HSG.C.A.3

In ∆ABC, NG, GP, and GM are perpendicular bisectors. Find GM.

• 2

• 17

• 8

• 22.7

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CCSS.HSG.C.A.3

If CB is a perpendicular bisector, find the value of x.

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CCSS.HSG.CO.C.9

If line m is the perpendicular bisector of segment AB, find the value of x.

• x = 8

• x = - 8

• x = 16

• x = - 16

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CCSS.HSG.CO.C.9

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• 2
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CCSS.4.G.A.1

CCSS.HSG.CO.A.1

Use the figure and the given information to find the indicated measure. ZX​ is the perpendicular bisector of  WY​, WZ=4n−13​ , and  YZ=n+17​ .

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• 7

• 13

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CCSS.HSG.CO.C.9

In the given proof, what is the reason for step 1?

• Angles that form a linear pair are supplementary.

• Angles of Equal Measure are Congruent

• Reflexive Property of Congruence

• Definition of a Perpendicular Bisector

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CCSS.HSG.SRT.B.5

Find the equation of the perpendicular bisector of the line as graphed.