10th Class Mathematics Test Unit 9 - Cords of A Circle

Unit 9 – Chords of a Circle

Quiz

 

1. 1. A chord of a circle is defined as:
   1.   A line from the center to a point on the circle
   2.   A line that passes through the center of the circle
   3.   A line segment joining any two points on the circle
   4.   A tangent to the circle
2. 2. The longest chord of a circle is the:
   1.   Diameter
   2.   Radius
   3.   Secant
   4.   Tangent
3. 3. The perpendicular from the center of a circle to a chord:
   1.   Bisects the chord
   2.   Passes through the endpoints of the chord
   3.   Makes an angle of 45 degrees with the chord
   4.   Does not bisect the chord
4. 4. If two chords of a circle are equal in length, then:
   1.   They are perpendicular to each other
   2.   They subtend equal angles at the center of the circle
   3.   They are both tangents
   4.   They are secants
5. 5. The distance from the center of the circle to a chord is called:
   1.   The radius
   2.   The perpendicular distance
   3.   The segment length
   4.   The chord length
6. 6. If a chord of a circle is 6 cm, and the perpendicular distance from the center to the chord is 3 cm, what is the radius of the circle?
   1.   3 cm
   2.   6 cm
   3.   5 cm
   4.   4 cm
7. The midpoint of a chord lies on the:
   1.   Tangent at the point of contact
   2.   Diameter of the circle
   3.   Circumference of the circle
   4.   Perpendicular bisector of the chord
8. 8. If two chords in a circle are intersecting, the product of the lengths of the segments of one chord is equal to the product of the lengths of the segments of the other chord. This is known as:
   1.   Pythagorean theorem
   2.   Thales' theorem
   3.   Power of a point theorem
   4.   Circle theorem
9. 9. If two chords in a circle are equal in length, the angle between them at the center is:
   1.   90 degrees
   2.   45 degrees
   3.   Equal
   4.   Undefined
10. 10. If a chord is bisected by a diameter, the angle formed by the chord and the diameter is:
    1.   0 degrees
    2.   90 degrees
    3.   45degrees
    4.   60 degrees