Perpendicular Bisector and Circles

Which of the following is the second step of constructing the tangent line from a point outside of circle C in the correct order.

• Place the compass on the midpoint of CX, adjust its length to reach the end point, and draw an arc across the circle.

• Construct the perpendicular bisector of segment CX.

• Draw a line connecting X to one of the points where the arc crosses the circle (tangent points)

• Draw a line segment connecting point X to the center of the circle.

What is a perpendicular bisector of a segment?

• A line that crosses through the midpoint of the segment at right angles

• A line that crosses through the midpoint of the segment

• A line that crosses the segment at a 90 degree angle

• A line that is parallel to the given segment

Name the construction

1) Mark two points, A and B.

2) Draw a line segment AB to connect the two points

3) Draw a circle; center: A, radius AB

4) Draw a circle; center: B, radius AB

5) Label one intersection of the two circles C

6) Label the other intersection of the two circles D

7) Connect C and D with a line segment

8) Label the intersection of AB and CD

• Perpendicular Bisector

• Angle Bisector

• Equilateral Triangle

• Points of Concurrency

Tags

CCSS.HSG.CO.C.9

• 1
• 2
• 3
• 4

Tags

CCSS.4.G.A.1

CCSS.HSG.CO.A.1

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

Tags

CCSS.HSG.CO.C.9

The red line shown is a(n)

• Radius

• Perpendicular Bisector

• Circle

• Angle Bisector

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

Tags

CCSS.HSG.CO.C.9

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

In a circle, if a diameter bisects a chord (that is not a diameter), then:

• it is a secant

• it is parallel to the chord

• it is perpendicular to the chord

• it is just shaking out the sillies

In a circle, if a diameter is is perpendicular to a chord, then:

• it bisects the chord

• it bisects the corresponding arc

• it bisects BOTH the chord and its arc

• none of these answers are correct