Name: _________________________
Period: _____
Unit 1: Circles Mini-Quizzes
LT #1: I can name and identify parts of a circle.
1. Name each of the following parts of the circle.
a. ⃡𝑁𝐿
d. Point J
b. ̅̅̅
𝐽𝐾
e. ̅̅̅̅
𝐺𝐻
c. Point M
2. Give an example of each of the following parts of a circle.
d. Radius
d. Diameter
e. Chord
e. Tangent
f. Secant
LT #2: I can prove all circles are similar.
3. What transformations are used to show circle similarity?
4. How would you prove a circle centered at (2,4) and radius 3 is similar to a circle centered at (-1, 6) and
radius 12?
LT #3: I can derive the equation of a circle.
5. Write the equation of a circle with a center at the (–9, 12) and a radius of 4√5.
6. What is the equation of the circle centered at (–8, 4) with the point (–11, 9) on the circle?
7. The points (–2, 3) and (6, –1) are the endpoints of a diameter of a circle. What is the equation of the circle?
8. Find the equation of the new circle after translating the circle (𝑥 − 3)2 + (𝑦 + 11)2 = 9 right 4 and up 2.
LT #4: I can determine whether a point is on/outside /inside a circle.
9. The equation of a circle is (𝑥 − 9)2 + (𝑦 + 11)2 = 121. Where is each point located?
a. (−1, −10)
b. (16, −2)
c. (20, −11)
10. What is the equation of the circle center at (–1, 7) that is tangent to x = –8?
11. What is the equation of the circle center at (–11, 8) that is tangent to y = –3?
LT #5: I can change the equation of a circle between standard and general form.
12. What is the general form of the circle (𝑥 − 6)2 + (𝑦 + 2)2 = 81
13. What is the standard form of each of the following. Then state the center and radius.
a) 𝑥 2 + 𝑦 2 − 12𝑥 + 38𝑦 − 120 = 0
b) 𝑥 2 − 2𝑦 + 𝑦 2 + 30𝑥 − 11 = 0
LT #6: I can identify & use Central Angles, Interior Angles, & Segments of Chords to solve problems.
14. Use the picture to answer each of the following.
̂
𝑚∠𝐴𝐸𝐷
𝑚𝐷𝐶
̂
𝑚𝐵𝐶𝐴
𝑚∠𝐵𝐸𝐷
15. Find the value of each of the variables.
a)
̂
𝑚𝐴𝐶
𝑚∠𝐶𝐸𝐴
b)
c)
LT #7: I can use properties of chords to find measures of arcs and lengths of segments.
16. Circle P has a DIAMETER of 20cm and MN = SR = 14. Find each of the following:
PQ = ____________
MX = ____________
TQ = ____________
PX = _____________
LT #8: I can identify & use Inscribed Angles & Tangent/Chord Angles to solve problems.
17.Use the picture to answer each of the following.
̂
𝑚∠𝑋𝑊𝑍
𝑚𝑍𝑄
𝑚∠𝑊𝑍𝑋
̂
𝑚𝑋𝑄
𝑚∠𝑊𝑋𝑍
̂
𝑚𝑊𝑋
18. Find each of the following measures.
𝑚∠𝐸𝐵𝐴
̂
𝑚𝐶𝐸
19.Find the value of x.
LT #9: I can explain why the opposite angles in an inscribed quadrilateral are supplementary.
20. Solve each of the following for the variables.
a)
b)
c)
LT #10: I can state & apply the relationship between a tangent & a radius.
21. Solve for the value of x.
a)
b)
LT #11: I can identify & use Exterior Angles & Circumscribed Angles to solve problems.
22. Solve for each of the following variables.
a)
b)
c)
LT #12: I can identify & use Segments of Secants & Tangents to solve problems.
23. Find the perimeter of the quadrilateral.
25. Find the value of x.
a)
24. Find the value of x.
b)
c)