Circle Theorems: 12 Theorems Based on Circles

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Mathematics
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10th Grade - University
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Hard
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7 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the main concept used to prove that equal chords are equidistant from the center of a circle?
Properties of triangles
Properties of squares
Properties of rectangles
Properties of hexagons
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the converse of theorem six, what must be proven to show that equidistant chords are equal?
The triangles formed are congruent
The chords are parallel
The chords are tangent
The chords are perpendicular
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
According to the theorem, how does the angle subtended by an arc at the center compare to the angle subtended at any point on the circle?
It is half the angle
It is double the angle
It is equal to the angle
It is triple the angle
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which theorem is used to prove that the angle subtended by an arc at the center is double the angle subtended at any point on the circle?
Exterior angle theorem
Interior angle theorem
Pythagorean theorem
Alternate angle theorem
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the relationship between angles in the same segment of a circle?
They are complementary
They are supplementary
They are equal
They are different
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What special case is discussed in the theorem about angles in the same segment?
When the segment is a semicircle
When the segment is a quarter circle
When the segment is a full circle
When the segment is a triangle
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the angle subtended in a semicircle according to the special case discussed?
45 degrees
180 degrees
60 degrees
90 degrees
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