Circles: Chords, Arcs and Inscribed Angles: Geometry Math Quiz – PDF Download
This 10-question quiz checks the core circle facts: similar circles, central and inscribed angles, semicircles, tangents, chords and inscribed quadrilaterals. Choose the one best answer for each question and read the explanation afterward.
GeometryCommon Core: G-C.A.1 · G-C.A.2
🎯 Circles: Chords, Arcs and Inscribed Angles – Geometry math quiz
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Question 1
Which statement about circles is true?
ATwo circles are similar only if their radii are equal
BAny two circles are similar
CTwo circles are similar only if they share a center
DCircles with different radii are never similar
Question 2
Arc \(AB\) measures \(100^{\circ}\). What is \(m\angle ACB\)?Arc AB measures 100°.
A\(100^{\circ}\)
B\(50^{\circ}\)
C\(200^{\circ}\)
D\(25^{\circ}\)
Question 3
An inscribed angle measures \(35^{\circ}\). What is the measure of its intercepted arc?
A\(35^{\circ}\)
B\(17.5^{\circ}\)
C\(140^{\circ}\)
D\(70^{\circ}\)
Question 4
Segment \(AB\) is a diameter and \(m\angle A=25^{\circ}\). What is \(m\angle B\)?Segment AB is a diameter.
A\(25^{\circ}\)
B\(90^{\circ}\)
C\(155^{\circ}\)
D\(65^{\circ}\)
Question 5
A tangent segment \(AP\) is 12 long and the radius \(OA\) is 9. What is \(OP\)?
A\(15\)
B\(21\)
C\(\sqrt{63}\)
D\(225\)
Question 6
Tangent segments \(PA\) and \(PB\) are drawn and minor arc \(AB\) measures \(100^{\circ}\). What is \(m\angle P\)?Minor arc AB measures 100°.
A\(80^{\circ}\)
B\(100^{\circ}\)
C\(50^{\circ}\)
D\(40^{\circ}\)
Question 7
Quadrilateral \(ABCD\) is inscribed in a circle and \(m\angle A=78^{\circ}\). What is \(m\angle C\)?
A\(78^{\circ}\)
B\(90^{\circ}\)
C\(102^{\circ}\)
D\(282^{\circ}\)
Question 8
A chord is 16 units long in a circle of radius 10. How far is the chord from the center?A chord and the perpendicular from the center.
A\(8\)
B\(2\)
C\(6\)
D\(\sqrt{164}\)
Question 9
Two chords of the same circle have equal length. Which must be true?
ABoth chords pass through the center
BThe chords are parallel
CThe chords intersect at right angles
DTheir intercepted minor arcs have equal measure
Question 10
A central angle and an inscribed angle intercept the same arc. The central angle measures \(148^{\circ}\). What does the inscribed angle measure?
A\(148^{\circ}\)
B\(37^{\circ}\)
C\(74^{\circ}\)
D\(296^{\circ}\)
🎉 Quiz complete!
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Remember:
All circles are similar: a translation and a dilation with factor \(\frac{r_2}{r_1}\) map one onto another.
A central angle equals its arc; an inscribed angle equals half its arc.
An angle inscribed in a semicircle measures \(90^{\circ}\).
A radius is perpendicular to a tangent, and a circumscribed angle is \(180^{\circ}\) minus its minor arc.
Opposite angles of an inscribed quadrilateral are supplementary.
