Exploring Perpendicular and Angle Bisectors

What is the shortest distance from a point to a line?

• The length of any segment from the point to the line

• The length of the perpendicular segment from the point to the line

• The length of the longest segment from the point to the line

• The average length of all segments from the point to the line

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.CO.D.12

CCSS.HSG.GPE.B.5

What is a perpendicular bisector?

• A segment that is perpendicular to a line at any point

• A segment that is perpendicular to a segment at its midpoint

• A segment that intersects a line at any point

• A segment that is parallel to a line

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.CO.D.12

According to the perpendicular bisector theorem, if a point is on the perpendicular bisector of a segment, it is:

• Farther from one endpoint of the segment

• Closer to one endpoint of the segment

• Equidistant from the endpoints of the segment

• Not related to the endpoints of the segment

If MO is the perpendicular bisector of segment NP and MN is 4.5, what is the length of MP?

• 2.25

• 4.5

• 9

• 6.75

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.CO.D.12

If OP is 9.5, what is the length of NO?

• 4.75

• 9.5

• 14.25

• 19

Tags

CCSS.5.NBT.A.3

CCSS.5.NBT.B.7

What is an angle bisector?

• A segment that is parallel to a line

• A segment that intersects a line at any point

• A segment that is perpendicular to a line

• A segment that divides an angle into two equal parts

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.CO.D.12

According to the angle bisector theorem, if a point is on the bisector of an angle, it is:

• Not related to the sides of the angle

• Farther from one side of the angle

• Equidistant from the two sides of the angle

• Closer to one side of the angle

If ML is the perpendicular segment from point M to line KL and its length is 8, what is the distance from M to KL?

• 16

• 12

• 8

• 4

Tags

CCSS.HSG.CO.A.1

If 3x = 54, what is the value of x?

• 18

• 15

• 12

• 21

Tags

CCSS.HSA.REI.B.3

If the measure of angle JMK is found by solving 90 + y + 54 = 180, what is the measure of angle JMK?

• 90 degrees

• 54 degrees

• 72 degrees

• 36 degrees

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

CCSS.HSG.CO.C.10