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Equations of a Circle Distance and Midpoint

Authored by Anthony Clark

Mathematics

10th Grade

CCSS covered

Equations of a Circle Distance and Midpoint
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20 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the midpoint between (8, -3) and (2, 5)

(5, 1)

(10, 2)

(-5, -1)

(3, 4)

Tags

CCSS.HSG.GPE.B.6

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Points A(1,3) & B(-3,5) are the endpoints of a chord on a circle with centre not at the origin. What is the equation of the perpendicular bisector of chord AB?

y = 2x + 4

y = 2x + 6

y = -2x + 6

y = 2x - 6

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Find the midpoint of the line segment with the given endpoints (-2,-6) and (8,8)

(-4,8)

(18,22)

(3,1)

(-5,-7)

Tags

CCSS.HSG.GPE.B.6

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Find the midpoint of the segment on the graph. (Hover over picture to expand)

(1,0)

(7,-9)

(4,-3)

(-1,2)

Tags

CCSS.HSG.GPE.B.6

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The equation of a circle is derived from

gradient-intercept forumla

point-slop form

distance formula

quadratic equation

Tags

CCSS.HSG.GPE.A.1

6.

MULTIPLE CHOICE QUESTION

1 min • 5 pts

Which of the following is the correct midpoint formula given two endpoints (x1, y1) and (x2, y2)?

Media Image
Media Image
Media Image
Media Image

Tags

CCSS.HSG.GPE.B.6

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Write the equation of a circle with its diameter whose endpoints are (2,7) and (4,-3). Hint: first find the center of the circle using midpoint formula.

(x-3)2+(y-2)2=26

(x+3)2+(y+2)2=26

(x+1)2+(y-5)2=13

(x+1)2+(y-5)2=89

Tags

CCSS.HSG.GPE.A.1

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