10.3 Arcs and Chords of a Circle

Arcs and Chords of a Circle

Three theorems about arcs and chords

G.12(A) apply theorems about circles, including relationships among angles, radii, chords, tangents, and secants, to solve non‐contextual problems

LO: Students will use theorems of chords to solve for missing arcs and segments.

Quizziz Notes Guide

In these slides there will be notes slides and practice slides. There is plenty of time on each slide to draw your picture, label, and solve before time runs out. If you rush through this you will not grasp the concepts. Take your time and take good notes. READ READ READ.

Multiple Choice

Which definition below refers to a chord?

• A line segment that runs from a circle's center to a point on the given circle.

• A segment that connects any two points on a given circle.

• A line, ray, or segment that intersects a given circle at more than one point.

• A line, ray, or segment that intersects a given circle at only one point (even if extended).

Multiple Choice

Which picture below indicates a chord?

• Congruent mean equal

• Equidistant means equal distance

• Refer back to lesson 10.2 to learn more about arcs
  

• Remember if two pieces are equal you can set up an equation to solve for missing pieces by putting an equal sign between them.

Fill in the Blanks

Fill in the Blanks

Fill in the Blanks

Fill in the Blanks

Fill in the Blanks

• See that box on the circle. That means it forms a 90 degree angle (i.e. its perpendicular).

• Notice those segment markings. Those mean that the big line bisects the small line (i.e. the small parts are equal in length).

• Putting these together makes a perpendicular bisector.

Fill in the Blanks

Fill in the Blanks

Fill in the Blanks