Circle angles, chords and tangents test, 9 grade

Question Nr. 1 out of 10

What relates central and inscribed angles over the same arc?

The inscribed angle is half the central angle over the same arc

Their sum is always 90°

The two angles are always equal

The central angle is half the inscribed angle

Question Nr. 2 out of 10

What angle is formed by a tangent and the radius to the point of tangency?

60°

180°

45°

90°

Question Nr. 3 out of 10

An arc measures 210°. What is its central angle?

210°

256°

159°

207°

303°

Question Nr. 4 out of 10

Two tangents are drawn from the same external point. One segment is 14 cm. Find the other.

8 cm

20 cm

2 cm

24 cm

14 cm

Question Nr. 5 out of 10

Intersecting chord segments are 4 cm and 4 cm, and the other chord has segments 8 cm and y. Find y.

6 cm

13 cm

12 cm

46 cm

2 cm

Question Nr. 6 out of 10

An inscribed angle is 76°. Find the central angle over the same arc.

140°

33°

18°

23°

152°

Question Nr. 7 out of 10

An inscribed angle is 25°. Find the central angle over the same arc.

177°

50°

96°

124°

40°

Question Nr. 8 out of 10

A central angle over the same arc is 32°. Find the inscribed angle.

48°

16°

91°

103°

8°

Question Nr. 9 out of 10

Which statement correctly describes a tangent to a circle?

A tangent touches the circle at exactly one point

A chord never meets the circle

Every radius is a tangent

A secant touches at one point only

Question Nr. 10 out of 10

A central angle over the same arc is 112°. Find the inscribed angle.

56°

122°

154°

4°

82°

Test: Circle angles, chords and tangents