Name: Date: School: Facilitator: 9.04: Area of Triangles Calculate the area either using or . 1. Find the area of the triangle: Identify which formula to use: Show your work: 2. Find the area of the triangle: Identify which formula to use: or Show your work: 3. Find the area of the triangle. We are going to break this one down into steps. a. Identify which formula to use: or or b. Solve for b. Show your work. c. Find the measure of C. Show your work. d. Use your answers from b and c to find the area. Show your work. Name: Date: School: Facilitator: 10.01 Parts of a Circle Use the figure below to identify the following. O 1. 4 chords a. b. c. d. 3. 1 secant line 2. 3 radii a. b. c. 5. a tangent 4. an inscribed polygon 6. a diameter 7. How many concentric circles are shown below? Find the length of a radius of a circle given the length of the diameter. Don't forget the units! 8. diameter = 12 in. radius = 9. diameter = 10 cm. radius = 10. diameter = inches radius = 11. diameter = x radius = Tell whether the following statements are true or false. 12. If a line segment of a circle is a diameter, it is a chord. 13. If two circles are concentric then their radii are congruent. 14. If a segment is a radius, it is also a chord. 15. If a segment is a chord, it is also a diameter. 17. A circle has many radii. 18. Concentric circles have the same center. 19. The diameter of a circle is twice the radius. Find the value of x in the following circles. 21. x = 22. x = Name: Date: School: Facilitator: 10.02 Tangents to Circles In the figure: AB and AC are tangent to circle S. 1. Find the measure of segment SB if AB = 10.5 and AS = 15 . Round to two decimal places if necessary. Show all work. 2. Find the measure of segment AS if BS = 11 and AB = 16. Round to two decimal places if necessary. Show all work. 3. Find the measure of segment AC if AS = 28 and BS = 9. Round to two decimal places if necessary. Show all work. In the figure, AD is tangent to Circle S. 4. Find segment CD if CS = 4 and AD = 10. Round to two decimal places if necessary. Show all work. 5. Find segment AD if AS = 10 and CD = 22. Round to two decimal places if necessary. Show all work. 6. Find segment AS if CD = 26 and AD = 10. Round to two decimal places if necessary. Show all work. Name: Date: School: Facilitator: 10.03 Arcs and Chords In the figure, and are diameters of circle U. Determine whether the given arc is a minor arc, major arc, or semicircle, and find the measure of the indicated arc. is a ; m PQ = 1. PQ is a ; m QR = 6. QR is a ; m ST = 2. ST is a ; m PQS = 7. PQS is a ; m TPS = 3. TPS is a ; m RT = 4. RT is a ; m RQS = 5. RQS is a ; m TQR = 8. TQR is a ; m PS = 9. PS is a ; m PTR = 10. PTR Find the value of x. 11. x = 12. x = 13. x = 14. x = 15. x = 16. x = Find the measure of the red part of the figure. = = Arc EC = Arc DC