
Using Circle Theorems: Focus on the Chord Bisector
Interactive Video
•
Mathematics
•
9th - 10th Grade
•
Practice Problem
•
Hard
Wayground Content
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10 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does a chord do to a circle?
It divides the circle into two equal parts.
It splits the circle into two segments.
It forms a triangle inside the circle.
It creates a tangent to the circle.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
According to the circle theorem, what does a perpendicular from the center to a chord do?
It forms a triangle.
It divides the circle into quadrants.
It bisects the chord.
It creates a tangent.
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in solving problems involving chord bisectors using coordinate geometry?
Finding the radius of the circle.
Calculating the gradients.
Drawing the circle.
Identifying the center of the circle.
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How can you prove that two lines are perpendicular using gradients?
Their gradients are equal.
Their gradients are negative reciprocals.
Their gradients add up to zero.
Their gradients are both positive.
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the example problem, what is the equation of the chord given?
y = x + 5
y - x = 5
x + y = 7
x - y = 5
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the method used to find the intersection points of the chord and the circle?
Substituting the chord equation into the circle equation.
Using the Pythagorean theorem.
Drawing a diagram.
Using the quadratic formula.
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you verify that a line is the perpendicular bisector of a chord?
Check if it passes through the circle's center and the chord's midpoint.
Confirm it divides the circle into equal parts.
Ensure it is parallel to the chord.
Verify it is tangent to the circle.
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