This document contains an assessment with multiple choice questions about conic sections and circles. It tests identifying conic sections from graphs and equations, finding standard equations of circles given properties, and determining properties of circles from equations. An answer key is provided to check responses.

1. Quarter 3
Module 1

2. Assessment

3. Choose the letter of the best
answer. Write the chosen letter
on a separate sheet of paper.

4. It’s about to Start
GOOD LUCK…

5. 1. What conic section is being
represented by the track and field oval?
A. Circle
B. Ellipse
C. Hyperbola
D. Parabola

6. 2. The curves that are formed when a
plane cuts a double-napped cone?
A. Conics
b. Line
c. Point
d. Sector

7. 3. What is the standard equation of a
circle whose center at the origin and
radius of √7.
a. x² + y² = 7
b. x² + y² = 49
c. (x-7)²+(y-7)²-7
d. (x + 7)²-(y + 7)² - 49

8. 4. Which equation of the circle has its
center at the origin?
A. x² + (y – 3)² = 6
b. (x+8)² + y² = 25
c. (x + 1)² + (y + 1)² = 1
d. x² + y² = 13

9. Consider the statement below to answer number 5
and 6. A circle has its center at (2, 5) and passes
through the point (-3,-4).
5. Which equation used to solve its radius?
A. r-√(2+3)² + (5+4)²
B. r=√√(2-3)²+(5-4)²
C. r= (2-3)²+(5-4)²
D. r= (2+3)² + (5+4)²

10. Consider the statement below to answer number 5
and 6. A circle has its center at (2, 5) and passes
through the point (-3,-4).
6. What is its standard equation?
A. (x + 3)² + (x+4)² = 82
B. (x-3)² + (x+4)² = 106
C. (x-2)² + (x – 5)² - 106
D. (x + 2)² + (x + 5)² = 82

11. Consider the statement below to answer number 7
to 9. A circle having (3, 0) and (-2,-4) as the end
points of its diameter
7. What is the center of the said circle?
A. (-1,2)
B. (-2,)
C. (-2)
D. (-2)

12. Consider the statement below to answer number 7
to 9. A circle having (3, 0) and (-2,-4) as the end
points of its diameter
8. What is the radius of the said circle?
A.
41
4
B.
41
2
C. 41/2
D. 1/2

13. Consider the statement below to answer number 7
to 9. A circle having (3, 0) and (-2,-4) as the end
points of its diameter
9. What is the standard equation of the said
circle?
A. (x + 2)² + (y+4)² =
B. (x-3)²+(v)²=¹
c. (x-¹)² + (x + 2)² =
D. (x-4)²+(y-2)²-

14. Consider the statement below to answer number 7
to 9. A circle having (3, 0) and (-2,-4) as the end
points of its diameter
9. What is the standard equation of the said
circle?
A. (x + 2)² + (y+4)² =
1
2
B. (x-3)²+(v)²=
41
2
C. (x-¹)² + (x + 2)² =
41
4

15. 10. A circle has its center at (1.-7) and
tangent to the line 3x -4y + 4-0. What is
its standard equation?
A. (x + 1)² + (y-7)² = 5
B. (x-1)+(y + 7)² = 7
C. (x-1)² + (y + 7)² = 49
D. (x-1)²-(y + 7)² = √7

16. 11. The general equation a circle is x² + y²
+8x-4y+4-0. What is its equivalent
equation in standard form?
A. (x+4)² + (y-2)² = 16
B. (x+4)² + (y-2)² = 8
C. (x+4)² + (y-2)² - 4
D. (x+4)²+(y-2)² = 2

17. B. Name each conic section being
illustrated in each graph.
12.

18. B. Name each conic section being
illustrated in each graph.
13.

19. B. Name each conic section being
illustrated in each graph.
14.

20. B. Name each conic section being
illustrated in each graph.
15.

21. ~~~END~~~

22. Quarter 3
Module 1
Answer Key

23. 1. What conic section is being
represented by the track and field oval?
A. Circle
B. Ellipse
C. Hyperbola
D. Parabola

24. 2. The curves that are formed when a
plane cuts a double-napped cone?
A. Conics
b. Line
c. Point
d. Sector

25. 3. What is the standard equation of a
circle whose center at the origin and
radius of √7.
a. x² + y² = 7
b. x² + y² = 49
c. (x-7)²+(y-7)²-7
d. (x + 7)²-(y + 7)² - 49

26. 4. Which equation of the circle has its
center at the origin?
A. x² + (y – 3)² = 6
b. (x+8)² + y² = 25
c. (x + 1)² + (y + 1)² = 1
d. x² + y² = 13

27. Consider the statement below to answer number 5
and 6. A circle has its center at (2, 5) and passes
through the point (-3,-4).
5. Which equation used to solve its radius?
A. r-√(2+3)² + (5+4)²
B. r=√√(2-3)²+(5-4)²
C. r= (2-3)²+(5-4)²
D. r= (2+3)² + (5+4)²

28. Consider the statement below to answer number 5
and 6. A circle has its center at (2, 5) and passes
through the point (-3,-4).
6. What is its standard equation?
A. (x + 3)² + (x+4)² = 82
B. (x-3)² + (x+4)² = 106
C. (x-2)² + (x – 5)² - 106
D. (x + 2)² + (x + 5)² = 82

29. Consider the statement below to answer number 7
to 9. A circle having (3, 0) and (-2,-4) as the end
points of its diameter
7. What is the center of the said circle?
A. (-1,2)
B. (-2,)
C. (-2)
D. (-2)

30. Consider the statement below to answer number 7
to 9. A circle having (3, 0) and (-2,-4) as the end
points of its diameter
8. What is the radius of the said circle?
A.
41
4
B.
41
2
C. 41/2
D. 1/2

31. Consider the statement below to answer number 7
to 9. A circle having (3, 0) and (-2,-4) as the end
points of its diameter
9. What is the standard equation of the said
circle?
A. (x + 2)² + (y+4)² =
1
2
B. (x-3)²+(v)²=
41
2
C. (x-¹)² + (x + 2)² =
41
4

32. 10. A circle has its center at (1.-7) and
tangent to the line 3x -4y + 4-0. What is
its standard equation?
A. (x + 1)² + (y-7)² = 5
B. (x-1)+(y + 7)² = 7
C. (x-1)² + (y + 7)² = 49
D. (x-1)²-(y + 7)² = 𝟒𝟏

33. 11. The general equation a circle is x² + y²
+8x-4y+4-0. What is its equivalent
equation in standard form?
A. (x+4)² + (y-2)² = 16
B. (x+4)² + (y-2)² = 8
C. (x+4)² + (y-2)² - 4
D. (x+4)²+(y-2)² = 2

34. B. Name each conic section being
illustrated in each graph.
12. Circle

35. B. Name each conic section being
illustrated in each graph.
13. Ellipse

36. B. Name each conic section being
illustrated in each graph.
14. Parabola

37. B. Name each conic section being
illustrated in each graph.
15. Hyperbola