Lesson 6.1 Properties of Tangents

1. Lesson 6.1 Properties of Tangents Page 182

2. Q1 Select A iRespond Question Multiple Choice F CFF44A58-749D-CD46-970E-FCF921AF4C3A A.) This is the correct answer. B.) This is the wrong answer. C.) This is just as wrong as B D.) E.)

3. Q2 This time select B iRespond Question Multiple Choice F 85197D27-E37E-C648-BFCB-A672DD695AEB A.) This is the wrong choice. B.) This is the correct choice. C.) Do not select this answer. D.) E.)

4. Circle • A circle is the set of all points in a plane that are equidistant from a given point called the center of the circle.

5. Radius • A radius is a segment whose endpoints are the center and any point on the circle.

6. Chord • A chord is a segment whose endpoints are on a circle. • A diameter is a chord that contains the center of the circle. What is special about this one?

7. Secant Tangent • A secant is a line that intersects a circle in two points. • A tangent is a line in the plane of a circle that intersects the circle in exactly one point, the point of tangency.

8. Q3 Tell whether the line, ray, or segment is best described as a radius, chord, diameter, secant, or tangent of circle P. iRespond Question Multiple Choice F 89E0D2CA-41F3-9047-B0D1-C5583E0A8D6D A.) radius B.) chord C.) diameter D.) secant E.) tangent

9. Q4 Tell whether the line, ray, or segment is best described as a radius, chord, diameter, secant, or tangent of circle P. iRespond Question Multiple Choice F 89E0D2CA-41F3-9047-B0D1-C5583E0A8D6D A.) radius B.) chord C.) diameter D.) secant E.) tangent

10. Q5 Tell whether the line, ray, or segment is best described as a radius, chord, diameter, secant, or tangent of circle P. iRespond Question Multiple Choice F 89E0D2CA-41F3-9047-B0D1-C5583E0A8D6D A.) radius B.) chord C.) diameter D.) secant E.) tangent

11. Q6 Tell whether the line, ray, or segment is best described as a radius, chord, diameter, secant, or tangent of circle P. iRespond Question Multiple Choice F 89E0D2CA-41F3-9047-B0D1-C5583E0A8D6D A.) radius B.) chord C.) diameter D.) secant E.) tangent

12. Q7 How many common tangents are possible between the two circles? iRespond Question Multiple Choice F B62203C8-26A5-8E48-BEBF-8B8F2C64CC92 A.) 1 B.) 2 C.) 3 D.) 4 E.) 5

13. Q8 How many common tangents are possible between the two circles? iRespond Question Multiple Choice F B62203C8-26A5-8E48-BEBF-8B8F2C64CC92 A.) 1 B.) 2 C.) 3 D.) 4 E.) 5

14. Q9 How many common tangents are possible between the two circles? iRespond Question Multiple Choice F B62203C8-26A5-8E48-BEBF-8B8F2C64CC92 A.) 1 B.) 2 C.) 3 D.) 4 E.) 5

16. Theorem 6.1: • In a plane, a line is tangent to a circle if and only if the line is perpendicular to a radius of the circle at its endpoint on the circle.

17. Theorem 6.2: • Tangent segments from a common external point are congruent.

18. If we show that angle ABC is 90⁰ then segment BC must be a tangent. So angle ABC is 90⁰ and the segment BC is perpendicular to radius AB.

19. Example 5

20. Q10 What is the value of r? iRespond Question Multiple Choice F 968E400D-EAFB-454A-BC91-C9F8D5164C9F A.) 1 cm B.) 2 cm C.) 3 cm D.) 4 cm E.) 5 cm

21. Homework1-22 page 186

23. Use the diagram to determine if the statement is true or false.

25. Hint

26. Hint