Perpendicular Bisector Chord

and in circle A. Find the radius

Tags

CCSS.HSG.C.A.2

•  $\overline{EF}$  is the radius of circle A

•  $\overline{EF}$  is a secant line of circle A

•  $\overline{EF}$  is the tangent line of circle A

Points A(1,3) & B(-3,5) are the endpoints of a chord on a circle with centre not at the origin. What is the equation of the perpendicular bisector of chord AB?

• y = 2x + 4

• y = 2x + 6

• y = -2x + 6

• y = 2x - 6

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

• 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

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

Tags

CCSS.HSG.CO.C.9

The perpendicular from the center of a circle to a chord is the ____________ of the chord.

• intercepted arc

• bisector

• radius

• diameter

The perpendicular bisector of a chord _________________

• is perpendicular to the center of the circle.

• is parallel to the center of the circle.

• goes through the center of the circle.

Which one is the correct construction for a perpendicular bisector?

• 1

• 2

• 3

• 4

What geometric construction is shown in the diagram below?

• an angle bisector

• a line parallel to a given line

• an angle congruent to a given angle

• a perpendicular bisector of a segment

A line, segment, or ray that passes through the midpoint of a side that is creates a 90 degree angle with that side.

• Perpendicular bisector

• Angle bisector

• Median

• Altitude