Card 1 of 20
EasyStudy card 1
Prompt
What is a circle?
Answer
The set of all points in a plane equidistant from one center.
MathChapter 19: Circles
Flashcards
Arcs, Angles, and Tangents Flashcards
Twenty concise cards on circle anatomy, arc measures, and tangent theorems.
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Card 1 of 20. Answer hidden.
Card 2 of 20
EasyStudy card 2
Prompt
What is a radius?
Answer
A segment from the center to a point on the circle.
Card 3 of 20
EasyStudy card 3
Prompt
What is a chord?
Answer
A segment with both endpoints on the circle.
Card 4 of 20
EasyStudy card 4
Prompt
What is a secant?
Answer
A line that intersects a circle at two points and contains a chord.
Card 5 of 20
EasyStudy card 5
Prompt
What is a tangent?
Answer
A coplanar line meeting a circle at exactly one point.
Card 6 of 20
EasyStudy card 6
Prompt
What is a central angle?
Answer
An angle whose vertex is the circle's center.
Card 7 of 20
EasyStudy card 7
Prompt
How is a minor arc measured?
Answer
By the measure of its central angle; it is less than 180°.
Card 8 of 20
MediumStudy card 8
Prompt
How large is a semicircle?
Answer
180°.
Card 9 of 20
MediumStudy card 9
Prompt
How do you find a corresponding major arc?
Answer
Subtract the minor-arc measure from 360°.
Card 10 of 20
MediumStudy card 10
Prompt
What does arc addition say?
Answer
Adjacent arc measures add along the named route.
Card 11 of 20
MediumStudy card 11
Prompt
What angle does a tangent make with the radius at contact?
Answer
90°; they are perpendicular.
Card 12 of 20
MediumStudy card 12
Prompt
What is true of tangents from one exterior point?
Answer
Their tangent-segment lengths are congruent.
Card 13 of 20
MediumStudy card 13
Prompt
What triangle appears when center joins a tangency point and exterior point?
Answer
A right triangle, right at tangency.
Card 14 of 20
MediumStudy card 14
Prompt
How do tangent pieces behave around an incircle?
Answer
The two pieces from each triangle vertex are equal.
Card 15 of 20
MediumStudy card 15
Prompt
What is the longest chord?
Answer
A diameter.
Card 16 of 20
MediumStudy card 16
Prompt
May a line be treated as tangent from appearance alone?
Answer
No; tangency must be stated or proved.
Card 17 of 20
HardStudy card 17
Prompt
A minor arc is 124°. Find its major arc.
Answer
236°.
Card 18 of 20
HardStudy card 18
Prompt
Tangents are 4x+1 and 7x-20. Find x.
Answer
7.
Card 19 of 20
HardStudy card 19
Prompt
Radius 5 and center-to-exterior distance 13 give what tangent length?
Answer
12.
Card 20 of 20
HardStudy card 20
Prompt
Vertex tangent contributions are 6, 9, and 11. Find incircle-triangle perimeter.
Answer
52, because each contribution is counted twice.
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