Inscribed quadrilaterals
Flashcard
•
Mathematics
•
10th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is an inscribed quadrilateral?
Back
A quadrilateral whose vertices all lie on a single circle.
2.
FLASHCARD QUESTION
Front
What is the measure of an inscribed angle that intercepts a semicircle?
Back
Right angle (90 degrees).
3.
FLASHCARD QUESTION
Front
If a quadrilateral is inscribed in a circle, what can be said about its opposite angles?
Back
The opposite angles are supplementary (they add up to 180 degrees).
4.
FLASHCARD QUESTION
Front
Define an inscribed angle.
Back
An angle formed by two chords in a circle which have a common endpoint (the vertex) on the circle.
5.
FLASHCARD QUESTION
Front
What is the relationship between an inscribed angle and the arc it intercepts?
Back
The inscribed angle is half the measure of the intercepted arc.
6.
FLASHCARD QUESTION
Front
If m < R = 108 degrees, what is the measure of the angle opposite to it in an inscribed quadrilateral?
Back
72 degrees (since opposite angles are supplementary).
7.
FLASHCARD QUESTION
Front
What is the vertex of an inscribed angle?
Back
The vertex is the point where the two chords meet, and it lies on the circle.
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