Geometry Circles: Angles, Chords and Tangents Quiz: 10 Questions with Explanations

A 110 degreesB 55 degreesC 220 degreesD 70 degrees

A central angle equals its intercepted arc. Half would be the inscribed angle.

A 110 degreesB 220 degreesC 55 degreesD 35 degrees

An inscribed angle is half of its arc: 110/2 = 55.

A 180 degreesB 45 degreesC 60 degreesD 90 degrees

An angle inscribed in a semicircle intercepts 180 degrees, so it is 90.

A 82 degreesB 98 degreesC 108 degreesD 278 degrees

Opposite angles are supplementary: 180 – 82 = 98.

A Perpendicular to the radius at the point of tangencyB Parallel to the radiusC Equal in length to the radiusD A chord of the circle

The tangent meets the radius at a right angle.

A 13B 17C 7D 10

OP is the hypotenuse of a 5-12-13 right triangle. Adding 5 + 12 gives 17.

A 18B 9C 4.5D Cannot be determined

Tangent segments from one outside point are congruent.

A Two segments of length 16B Two segments of length 8C Two unequal segmentsD Segments of length 4

A radius perpendicular to a chord bisects it.

A 74 degreesB 18.5 degreesC 143 degreesD 37 degrees

Inscribed angles on the same arc are congruent.

A All circles have the same radiusB The diameter is always 1C All circles are similarD Circles are congruent

A dilation maps any circle onto any other, so the ratio is constant (pi).