1. 11.2/11.3 Tangents, Secants, and Chords
Learning Objective: To find arc and angle measures when segments intersect circles and to solve real world problems involving arcs and chords of circles.
Warm-up (IN)

2. Learning Objective: To find arc and angle measures when segments intersect circles and to solve real world problems involving arcs and chords of circles.
Notes
Ex 1 – Scientists want a satellite’s signal to reach 35% of the way around Earth along To do this,
must equal 126°. How far from Earth’s surface should this satellite be?
by HL C A B D E
4000 mi

3. Angles formed by Tangents and Secants –
Learning Objective: To find arc and angle measures when segments intersect circles and to solve real world problems involving arcs and chords of circles.
Angles formed by Tangents and Secants –
The measure of an angle formed by the intersection of 2 tangents, 2 secants or a secant and a tangent, at a point outside a circle, is half the difference of the measures of the intercepted arcs.

4. Learning Objective: To find arc and angle measures when segments intersect circles and to solve real world problems involving arcs and chords of circles.
Ex 1 – Find

5. Arcs formed by intersecting chords –
Learning Objective: To find arc and angle measures when segments intersect circles and to solve real world problems involving arcs and chords of circles.
Arcs formed by intersecting chords –
The measure of an angle formed by the 2 chords is equal to half the sum of the measures of the intercepted arcs.

6. Learning Objective: To find arc and angle measures when segments intersect circles and to solve real world problems involving arcs and chords of circles.
Ex 2 – Find the value of x and the measure of each labeled arc or angle.

7. Chord Bisector Theorems –
Learning Objective: To find arc and angle measures when segments intersect circles and to solve real world problems involving arcs and chords of circles.
Chord Bisector Theorems –
The perpendicular bisector of a chord passes through the center of the circle.
A diameter that is perpendicular to a chord bisects the chord and its corresponding arc.

8. Learning Objective: To find arc and angle measures when segments intersect circles and to solve real world problems involving arcs and chords of circles.
In a circle, two congruent chords are equidistant from the center of the circle.

9. Learning Objective: To find arc and angle measures when segments intersect circles and to solve real world problems involving arcs and chords of circles.
Ex 3 – Find

10. HW – Out – Describe two ways to show that two chords are congruent.
Summary – Today, I learned…
HW –