#6.1 Perpendicular and Angle Bisectors

Fill in the blank:

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

• Equidistant

• Congruent

• Vertical

• Corresponding

Tags

CCSS.HSG.CO.A.1

Fill in the blank:

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

• endpoint

• corner

• midpoint

• side

A ray that divides an angle into two congruent angles is called .............

• perpendicular bisector

• angle bisector

• vertex

• divider

Identify the perpendicular bisector.

• $\overline{TP}$

• $\overline{RS}$

• $\overline{TR}$

• $\overline{ST}$

Find AD

• 8.4

• 16.8

• 20

• 10

Tags

CCSS.HSG.SRT.B.4

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

Find the value of x

• 3

• 6

• 2.7

• 5.4

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

CCSS.HSG.CO.C.10

CCSS.HSG.SRT.B.4

CCSS.HSG.SRT.B.5

Find PQ

• 7

• 14

• 28

• 56

Tags

CCSS.HSG.SRT.A.2

CCSS.HSG.SRT.B.5

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Find $m<DGE$  

• 10

• 20

• 38

• 56

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

• 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

Use your knowledge of slopes of perpendicular lines to choose the perpendicular bisector of the line passing through the points (-2, 2) and (6, 0).

• $y=-\frac{1}{4}x+7$

• $y=\frac{1}{4}x+7$

• $y=4x+7$

• $y=-4x+7$