Equation of Circles

1. Which of the following is a secant line in circle M?

• Line RS

• Line OQ

• Line PN

• Line VM

2. Which of the following is tangent to circle M?

• Line RS

• Line OQ

• Line PN

• Line VM

3. In circle A, point B is the point of tangency. What can you conclude about angle B using theorem 3.11 if line segment AB is a radius and perpendicular to line segment CD?

• It is a reflex angle.

• It is an acute angle.

• It is an obtuse angle.

• It is a right angle.

4. In circle A, point B is the point of tangency. Using theorem 3.11, what is the m∠ADB if m∠BAD = 48°?

• 180°

• 132°

• 90°

• 42°

5. 5. Which of the following statements and conclusions about circle E is incorrect, according to theorem 3.12?

• The length of line segment HG is equal to the length of line segment FG.

• If the measure of line segment HG is 10 cm, then the measure of line segment GF is also 10 cm.

• Line segments HG and GF are tangent to circle E.

• When point E is connected to point G, it forms two unequal angles

  ∠ HGE ≠ ∠EGF

6. Line segment GF is tangent to circle E. Find the measure of x using theorem 3.13.

• 62.5°

• 110°

• 125°

• 250°

7. Line segment GF is tangent to circle E. Find the measure of x using theorem 3.13.

• 58°

• 116°

• 232°

• 244°

The angle formed by two secants, two tangents, or a secant and a tangent intersecting in the exterior of the circle is ___________________ of the measures of the intercepted arcs.

• half the negative differene

• half the negative sum

• half the positive difference

• half the positive sum

In circle E, line segments GH and GI are secant segments. Find the value of x.

• 41 ⁰

• 77 ⁰

• 82 ⁰

• 154 ⁰

Using theorem 3.15, what is the correct pairing of secant segments to solve for unknown variable.

• GF . FH = GJ . JI

• GF . GH = GJ . GI

• (GH)² = GJ. GI

• (GI)² = GF. GH