Chapter 10.4-10.5 Circles

Question 1

Theorem 10.6

Answer 1

If a diameter of a circle is perpendicular to a chord, then the diameter bisects the chord and its arc.

Question 2

Theorem 10.7

Answer 2

If chord AB is a perpendicular Bisector of another chord, then AB is a diameter.

Question 3

Theorem 10.8

Answer 3

In the same circle or congruent circles, two chords are congruent if and only iff they are equidistant from the center.

Question 4

Theorem 10.9

Answer 4

If an angle is inscribed in a circle, then it’s measure is half the measure of the intercepted arc.

Question 5

Theorem 10.10

Answer 5

If two inscribed angles of a circle intercept the same arc, then the angles are congruent.

Question 6

Theorem 10.11

Answer 6

An angle that is inscribed in a circle is a right angle if and only if it’s corresponding arc is a semicircle.

Question 7

Theorem 10.12

Answer 7

A quadrilateral can be inscribed in a circle if and only if its opposite angles are supplementary.

Question 8

Theorem 10.5

Answer 8

In the same circle or in congruent circles, two minor arcs are congruent if and only if their corresponding chords are congruent.