Chapter 10- Circles

Question 1

Measure of an inscribed angles theorem

Answer 1

The measure of an inscribed angle is half the measure of its intercepted arc

Question 2

How can a quadrilateral be inscribed in a circle?

Answer 2

If and only if its opposite angles are supplementary

Question 3

If a tangent and a chord intersect at a point on a circle, then the measure of each angle formed is ______

Answer 3

Half the measure of the intercepted arc

Question 4

Angles inside the circle theorem

Answer 4

If two chords intersect inside a circle, then the measure of each angle is HALF the SUM of the measures of the arcs intercepted

Question 5

Angles outside the circle theorem

Answer 5

If an angle is formed outside the circle by a tangent and a secant, two tangents, or two secants, then the measure of the angle formed is HALF the DIFFERENCE of the intercepted arcs

Question 6

Segments of chords theorem

Answer 6

If two chords intersect inside a circle, then (AC)(CB)=(DC)(CE)

Question 7

Segments of secants theorem

Answer 7

If two secant segments intersect outside the circle, then (AC)(AB)=(AE)(AD)

Question 8

Segments of secants and tangents theorem

Answer 8

If a secant and a tangent intersect outside the circle, then (AD)(AC)=the length of the tangent squared