Angle Bisector and Perpendicular Bisector

​6.1 Perpendicular and Angle Bisectors

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"Never regard study as a duty but as the enviable opportunity to learn."

​

​-Albert Einstein

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Multiple Choice

Fill in the blank:

A point that is the same distance from two figures is ___________________ from the two figures. #1

• Equidistant

• Congruent

• Vertical

• Corresponding

Multiple Choice

Fill in the blank:

A perpendicular bisector is perpendicular to and passing through the ___________________ of a segment. #2

• endpoint

• corner

• midpoint

• side

Multiple Choice

Is $$\overline{PQ}$$  a perpendicular bisector of  $$\overline{RS}$$  ? #15

• No, $$\overline{PQ}$$  does not pass through the midpoint of  $$\overline{RS}$$  

• No, $$\overline{PQ}$$  is not perpendicular to  $$\overline{RS}$$  

• Yes,  $$\overline{PQ}$$  is a perpendicular bisector of  $$\overline{RS}$$  

• Cannot be determined

Fill in the Blank

What is the measure of $$\overline{XW}$$  ? #14

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Fill in the Blank

What is the length of DC? #3

Multiple Choice

Find x, then the measure of AC. #5

• x=2, AC=8

• x=2, AC=16

• x=4, AC=8

• x=4, AC=16

Multiple Choice

Solve for the value of x. #8

• 7

• 3

• 10

• 6

Multiple Choice

Find x, then the measure of JK. #18

• x=10, JK=50

• x=10, JK=100

• x=15, JK=100

• x=15, JK=50

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Fill in the Blank

Find PS. #25

Fill in the Blank

Find m∠ABD. #24

Multiple Choice

Find LK. #28

• 3

• 5

• -3

• 6

Multiple Choice

Find m∠KJL. #26

• 28

• 16

• 4

• 3

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Multiple Choice

If you found the midpoint of line segment AB, what should you do next to find the equation of the perpendicular bisector? #38

• Use the midpoint and one of the points from AB to write the equation

• Use the midpoint and slope perpendicular to AB to write the equation

• Use the distance and midpoint to find the equation

• Skip it and hope it's not a test question

Multiple Choice

Write the equation of the perpendicular bisector of the line AB given: A(3,-3) & B(1,-1) #31

• y = x - 4

• y = x + 4

• y = 1/2x -4

• y = x + 2

Multiple Choice

Write the equation of the perpendicular bisector of the line AB given: A(4,-2) & B(4,4). #32

• y = 2

• x = 1

• y = x + 1

• y = 1