Before your quiz, take some time to review the concepts in the questions below. If you get a question wrong, make sure to review that part of the lesson before taking the quiz.
1. If PL is a tangent line to circle O and OL is a radius, OL is____ to PL.
- perpendicular
- parallel
- congruent
- scalene
Since PL is a tangent line and OL is a radius, that makes point L a point of tangency, and OL is perpendicular to PL.
Since PL is a tangent line and OL is a radius, that makes point L a point of tangency, and OL is perpendicular to PL.
Since PL is a tangent line and OL is a radius, that makes point L a point of tangency, and OL is perpendicular to PL.
Since PL is a tangent line and OL is a radius, that makes point L a point of tangency, and OL is perpendicular to PL.
2. If AB and AC are tangent lines to circle S, then line segments AB and AC are _________.
- perpendicular
- parallel
- congruent
- scalene
These two line segments are congruent since they originate at a point outside of the circle and are both tangent to the circle.
These two line segments are congruent since they originate at a point outside of the circle and are both tangent to the circle.
These two line segments are congruent since they originate at a point outside of the circle and are both tangent to the circle.
These two line segments are congruent since they originate at a point outside of the circle and are both tangent to the circle.
3. Line segment BC is tangent to circle O. OB and OA are radii of circle O. The length of OA is 6, and the length of BC is 6.4. Find x or the length of AC.
- 14.7
- 14.5
- 13.9
- 13.6
Use the Pythagorean Theorem to solve this problem. Notice that the length of AB is 12.
Use the Pythagorean Theorem to solve this problem. Notice that the length of AB is 12.
Use the Pythagorean Theorem to solve this problem. Notice that the length of AB is 12.
Use the Pythagorean Theorem to solve this problem. Notice that the length of AB is 12.
4. If PT equals 5 inches, what is the measure of PM?
- 10 in
- 9 in
- 5 in
- 4 in
Since PT and PM are tangent to circle O, they are both perpendicular to the radii of circle O at the points of tangency. PT is congruent to PM.
Since PT and PM are tangent to circle O, they are both perpendicular to the radii of circle O at the points of tangency. PT is congruent to PM.
Since PT and PM are tangent to circle O, they are both perpendicular to the radii of circle O at the points of tangency. PT is congruent to PM.
Since PT and PM are tangent to circle O, they are both perpendicular to the radii of circle O at the points of tangency. PT is congruent to PM.
5. PN and PM are both tangent lines to the circle. If PN = 4x + 12 and PM = 32, what is x?
- 7
- 5
- 4
- 2
PN and PM are congruent. Set up and solve the equation.
4x + 12 = 32
4x = 20
x = 5
PN and PM are congruent. Set up and solve the equation.
4x + 12 = 32
4x = 20
x = 5
PN and PM are congruent. Set up and solve the equation.
4x + 12 = 32
4x = 20
x = 5
PN and PM are congruent. Set up and solve the equation.
4x + 12 = 32
4x = 20
x = 5
6. If RP and RQ are both tangent lines to circle O, find x.
- 3
- 4
- 5
- 6
RP and RQ are congruent. Set up and solve the equation.
7x – 5 = 16
7x = 21
x = 3
RP and RQ are congruent. Set up and solve the equation.
7x – 5 = 16
7x = 21
x = 3
RP and RQ are congruent. Set up and solve the equation.
7x – 5 = 16
7x = 21
x = 3
RP and RQ are congruent. Set up and solve the equation.
7x – 5 = 16
7x = 21
x = 3
Summary
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