
Angles Formed by Secants and Tangents

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

Patricia Brown
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the relationship between the measure of an angle formed by a tangent and a chord and its intercepted arc?
The angle is twice the intercepted arc.
The angle is unrelated to the intercepted arc.
The angle is equal to the intercepted arc.
The angle is half the intercepted arc.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When a tangent and a secant intersect outside a circle, how is the angle formed related to the intercepted arcs?
The angle is half the difference of the intercepted arcs.
The angle is half the sum of the intercepted arcs.
The angle is twice the difference of the intercepted arcs.
The angle is the sum of the intercepted arcs.
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you calculate the measure of an angle formed by a tangent and a secant outside a circle?
Divide the larger arc by the smaller arc.
Add the measures of the intercepted arcs.
Subtract the smaller arc from the larger arc and divide by two.
Multiply the measures of the intercepted arcs.
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the example with angle ABC, if the intercepted arc measures 282 degrees, what is the measure of angle ABC?
360 degrees
78 degrees
282 degrees
141 degrees
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If an angle is formed outside a circle by two secants, and the intercepted arcs measure 122 and 48 degrees, what is the measure of the angle?
48 degrees
122 degrees
74 degrees
37 degrees
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the measure of angle ABC if the intercepted arc is 78 degrees?
39 degrees
360 degrees
78 degrees
156 degrees
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In an algebraic problem, if the larger arc is 262 degrees and the smaller arc is 98 degrees, what is the measure of the angle formed by two tangents?
82 degrees
164 degrees
262 degrees
98 degrees
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