2024 WASSCE Core Mathematics: Solve These Objective Questions

2024 WASSCE candidates should try their hands on these full multiple choice questions on circle theorem ahead of the examination. These Likely 2024 WASSCE Core Mathematics multiple choice questions will guide you ahead of the examination.

Circle theorems are a set of geometric principles that describe the properties and relationships of angles, arcs, chords, tangents, and sectors inside and around a circle. These theorems are essential for solving a variety of geometrical problems and proofs.

If a radius is perpendicular to a chord, then it…

A) bisects the chord
B) is parallel to the chord
C) equals the length of the chord
D) has no relation to the chord

The angle subtended by an arc at the center of the circle is…

A) half the size of the angle subtended at the circumference
B) twice the size of the angle subtended at the circumference
C) equal to the angle subtended at the circumference
D) unpredictable

The opposite angles of a cyclic quadrilateral…

A) are complementary
B) are supplementary
C) equal 360 degrees
D) have no specific relationship

The angle between a tangent and a radius is…

A) acute
B) obtuse
C) right
D) straight

If two tangents are drawn to a circle from an external point, then…

A) they are congruent
B) they are parallel
C) they intersect at the center
D) one is longer than the other

If two circles are tangent to each other externally, the line joining their centers is…

A) perpendicular to the line joining the points of tangency
B) parallel to the tangent at the point of tangency
C) equal in length to the radius of the smaller circle
D) bisected at the point of tangency

The locus of points equidistant from the endpoints of a diameter is…

A) the circumference of the circle
B) the diameter itself
C) a circle with half the radius
D) a concentric circle

The angles in the same segment of a circle are…

A) equal
B) supplementary
C) complementary
D) none of the above

A tangent to a circle forms a right angle with the…

A) chord through the point of tangency
B) diameter through the point of tangency
C) radius drawn to the point of tangency
D) line passing through the center and the point of tangency

The sum of the opposite angles of a cyclic quadrilateral is…

A) 90 degrees
B) 180 degrees
C) 270 degrees
D) 360 degrees

The angle between two radii in a circle is equal to…

A) half the angle subtended by the arc between the radii at the circumference
B) twice the angle subtended by the arc between the radii at the circumference
C) the angle subtended by the arc between the radii at the circumference
D) none of the above

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