Tangents Quiz

Name: ______________________   Date: __________   Score: ____ / 10

10 questions. Calculator allowed. Show your working. steplyclass.com/geometry/tangents/quiz/

1. 1

   Tangent from P, radius 5, OP = 13, find PT
   1. A) b = 13910
   2. B) b = 25
   3. C) b = 169
   4. D) b = 12

2. 2

   Tangent from P, radius 6 cm, OP = 10 cm, find PT

   Answer: ____________________

3. 3

   Tangent from P, radius 5, PT = 12, find OP
   1. A) c = 25
   2. B) c = 144
   3. C) c = 13
   4. D) c = 169

4. 4

   Two tangents from P: PA = 3x − 1, PB = 14. Find x.

   Answer: ____________________

5. 5

   Tangent from P, angle at O x, angle at P 35. Find x.
   1. A) x = 55
   2. B) x = 145
   3. C) x = 125
   4. D) x = 180

6. 6

   Two tangents from P: PA = 3x − 1, PB = x + 7. Find x.

   Answer: ____________________

7. 7

   Two tangents from P, angle at P 40, find the angle at O
   1. A) x = 220
   2. B) x = 140
   3. C) x = 360

8. 8

   Tangent from P, PT = 12, OP = 13, find the radius

   Answer: ____________________

9. 9

   Tangent from P, radius 7, OP = 9, find PT
   1. A) b ≈ 5.7
   2. B) b ≈ 49
   3. C) b ≈ 11.4
   4. D) b ≈ 81

10. 10

    Tangent from P, angle at O x + 10, angle at P 2x + 20. Find x.

    Answer: ____________________