Grade 10 Mathematics Quiz: Theorems on Chords, Arcs, and Angles

Which of the following statements is true about inscribed angles?

• They are always acute.

• They are equal to the measure of their intercepted arcs.

• They are equal to twice the measure of their intercepted arcs.

• They are supplementary to their intercepted arcs.

What is the measure of an inscribed angle that intercepts a semicircle?

• 0 degrees

• 90 degrees

• 180 degrees

• 45 degrees

In a circle, if two chords are congruent, what can be said about the arcs they intercept?

• The arcs are congruent.

• The arcs are equal to 180 degrees.

• The arcs are not congruent.

• The arcs are supplementary.

If a quadrilateral is inscribed in a circle, what can be said about its opposite angles?

• They are complementary.

• They are congruent.

• They are equal.

• They are supplementary.

What is the relationship between the central angle and the intercepted arc in a circle?

• The central angle is twice the intercepted arc.

• The central angle is half of the intercepted arc.

• The central angle is equal to the intercepted arc.

• The central angle is always greater.

Which of the following statements is NOT true regarding congruent circles?

• They have equal radii.

• Their diameters are always equal.

• Their corresponding chords are congruent.

• Their corresponding arcs are congruent.

If the measure of arc AB is 80 degrees, what is the measure of the inscribed angle that intercepts arc AB?

• 160 degrees

• 20 degrees

• 40 degrees

• 80 degrees

In circle O, if the diameter bisects chord AB, what can be concluded?

• Chord AB is longer than the diameter.

• Chord AB is perpendicular to the diameter.

• Chord AB is a radius.

• Chord AB is equal to the diameter.

What is the measure of the arc intercepted by an inscribed angle of 45 degrees?

• 180 degrees

• 135 degrees

• 45 degrees

• 90 degrees

If two inscribed angles intercept the same arc, what can be said about those angles?

• They are supplementary.

• They are congruent.

• They are complementary.

• They are equal.