What is the position of the vertex when an angle is formed by a tangent line and a chord?

Circle Theorems and Angle Measures

Interactive Video
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Mathematics
•
9th - 10th Grade
•
Hard

Thomas White
FREE Resource
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15 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Outside the circle
Inside the circle
At the center of the circle
On the circle
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
According to Theorem 10.12, what is the measure of an angle formed by two intersecting chords inside a circle?
Half the difference of the intercepted arcs
Twice the sum of the intercepted arcs
The sum of the intercepted arcs
Half the sum of the intercepted arcs
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which theorem explains the relationship between angles formed by intersecting chords inside a circle?
Theorem 10.11
Theorem 10.13
Theorem 10.12
Theorem 10.14
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If two chords intersect inside a circle, which arcs are used to calculate the angle measure?
The arcs intercepted by the diameter
Only the larger arc
The arcs intercepted by the angle and its vertical angle
Only the smaller arc
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When applying Theorem 10.12, what operation is performed on the measures of the intercepted arcs?
Subtraction
Addition
Division
Multiplication
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the example of Theorem 10.12, what is the relationship between angles 1 and 2?
They are complementary
Angle 2 is twice angle 1
Angle 1 is twice angle 2
They are equal
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the key difference between angles inside and outside the circle?
The number of chords involved
The size of the circle
The position of the vertex
The type of lines forming the angle
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