Warm Up 9.3, Day 1 Graph the circle www.jasonmyhre.weebly.com Warm Up 9.3, Day 1 Graph the circle Write the equation of a circle that is centered at (-1, 0) and has a radius of 3.5. The point (-1, 2) is on a circle whose center is (2, 6). Write the equation of the circle.

Use properties of tangents (10.1) Unit 9: Circles Target 9.3, Day 1 Use properties of tangents (10.1)

Label the center of the circle A. Draw radius AB and diameter CD. A chord is a segment that has ______________ on the circle. Draw chord EF. A secant is a line that has intersects a circle ____________. Draw secant GH. A tangent is a line, ray, or segment that has intersects a circle ____________. Draw tangent IJ. The point where a circle and tangent intersect is called the point of _____________________.

Tell whether the indicated line, ray, or segment is best described as a radius, chord, diameter, secant, or tangent of the circle. Name two chords of the circle. What point is a point of tangency?

Tell how many common tangents the circles have and draw them. Can you draw two circles that only have one common tangent? How about no common tangents?! Common tangents can be internal or external.

If a tangent and a radius intersect at the point of tangency, they are ____________________________ to each other. Is TS tangent to Circle P? (In other words, is the radius PT perpendicular to TS? Hmmm…How can we check this?)

In the diagram, B is a point of tangency. Find the length of the radius.

When two tangent segments intersect, they are ________________. RS and RT are tangents. Find the value of x.

Warm Up 9.3, Day 2 Is DE tangent to Circle C? In the diagram, S is a point of tangency. Find the length of the radius. BA and BD are tangents. Find the value of x.

Apply properties of chords (10.3) Unit 9: Circles Target 9.3, Day 2 Apply properties of chords (10.3)

Chord Theorem 1 of 3 If two minor arcs are congruent, then their corresponding _______________ are congruent. And vice versa. If the measure of arc AB = 110o, find the measure of arc BC.

Find the measure of the red arc (arc AB).

Chord Theorem 2 of 3 If one chord is a _________________________ bisector of another chord, then the first chord is a __________________, and vice versa. Tell whether QS is a diameter of the circle. Explain.

Find the value of x.

Chord Theorem 3 of 3 Two chords are congruent if they are __________________________ from the center of a circle, and vice versa.

www.jasonmyhre.weebly.com Find the value of x.

Warm Up 9.3, Day 3 Find the value of x. Explain your reasoning. Find the product. Complete the Quadratic Formula.

Find segment lengths in circles (10.6) Unit 9: Circles Target 9.3, Day 3 Find segment lengths in circles (10.6)

Two Chords When two chords intersect, the ______________ of the two pieces of one chord is equal to the ______________ of the two pieces of the other chord.

Find the value of x.

Two Secants When two secants intersect, I remember what to do by thinking of POW POW. This stands for ________________ x __________ = ________________ x __________

Find the value of x.

A Secant and a Tangent You can also use POW POW when you have a secant and tangent. For the tangent, the part outside and the whole will be __________. Find the value of x.

Doesn’t seem too bad, right Doesn’t seem too bad, right? But watch how we can really up the difficulty… www.jasonmyhre.weebly.com Find the value of x.