Card 1 of 20
EasyStudy card 1
Prompt
What defines an inscribed angle?
Answer
Its vertex lies on the circle and its sides contain chords.
MathChapter 19: Circles
Flashcards
Inscribed Angles Flashcards
Twenty concise cards on intercepted arcs and the three inscribed-angle corollaries.
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Card 1 of 20. Answer hidden.
Card 2 of 20
EasyStudy card 2
Prompt
How does an inscribed angle compare with its intercepted arc?
Answer
The angle is half the arc.
Card 3 of 20
EasyStudy card 3
Prompt
How do you find an intercepted arc from its inscribed angle?
Answer
Double the angle.
Card 4 of 20
EasyStudy card 4
Prompt
How does a central angle compare with its intercepted arc?
Answer
They have equal degree measure.
Card 5 of 20
EasyStudy card 5
Prompt
What is true of inscribed angles intercepting the same arc?
Answer
They are congruent.
Card 6 of 20
EasyStudy card 6
Prompt
What angle is inscribed in a semicircle?
Answer
A right angle.
Card 7 of 20
EasyStudy card 7
Prompt
What is true of opposite angles in a cyclic quadrilateral?
Answer
They are supplementary.
Card 8 of 20
MediumStudy card 8
Prompt
What does cyclic quadrilateral mean?
Answer
All four vertices lie on one circle.
Card 9 of 20
MediumStudy card 9
Prompt
Where is an intercepted arc relative to the inscribed-angle vertex?
Answer
Between the chord endpoints and not containing the vertex.
Card 10 of 20
MediumStudy card 10
Prompt
An intercepted arc is 118°. Find its inscribed angle.
Answer
59°.
Card 11 of 20
MediumStudy card 11
Prompt
An inscribed angle is 43°. Find its intercepted arc.
Answer
86°.
Card 12 of 20
MediumStudy card 12
Prompt
A cyclic angle is 72°. Find its opposite.
Answer
108°.
Card 13 of 20
MediumStudy card 13
Prompt
A triangle side is a diameter. What is the opposite angle?
Answer
90°.
Card 14 of 20
MediumStudy card 14
Prompt
Why must vertex location be checked first?
Answer
Central and inscribed angles use different angle–arc multipliers.
Card 15 of 20
MediumStudy card 15
Prompt
Do same-arc inscribed angles need adjacent vertices?
Answer
No; only the intercepted endpoints must match.
Card 16 of 20
MediumStudy card 16
Prompt
Can an inscribed angle intercept a major arc?
Answer
Yes; then the angle can be obtuse.
Card 17 of 20
HardStudy card 17
Prompt
An inscribed angle is 3x+4 and its arc is 8x. Find x.
Answer
4.
Card 18 of 20
HardStudy card 18
Prompt
Opposite cyclic angles are 5x and 7x. Find x.
Answer
15.
Card 19 of 20
HardStudy card 19
Prompt
A right triangle's hypotenuse is 30. Find its circumradius.
Answer
15.
Card 20 of 20
HardStudy card 20
Prompt
What common reversal error occurs with the theorem?
Answer
Halving an angle when solving for the arc; the angle must be doubled.
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