Subscribe

Grade 9 · Math · Unit 7 of 11

Circle Properties

Chords, tangents, and inscribed and central angles.

What your child practises

Practises circle properties: the perpendicular from the centre bisects a chord, central angles are twice inscribed angles on the same arc, inscribed angles on the same arc are equal, and a tangent is perpendicular to the radius.

Manitoba Curriculum learning outcome: 9.SS.1 · circle properties: chords, central and inscribed angles, and tangents

Sample questions

A taste of this unit. In the app, questions change every time and get easier or harder to match your child.

  1. Question 1

    Which line is perpendicular to the radius where it touches the circle?

    • the tangent
    • the arc
    • the chord

  2. Question 2

    A diameter is a chord that…

    • is shorter than the radius
    • touches the circle once
    • passes through the centre

  3. Question 3

    Which statement about the central angle is true?

    • It is always 90°
    • Its vertex is on the circle
    • Its vertex is at the centre of the circle

  4. Question 4

    A tangent touches a circle at point P. The angle between the tangent and the radius to P is…

    • 90°
    • 180°
    • 45°

  5. Question 5

    Which of these is true for inscribed angles on the same arc?

    • They add to 90°
    • They are each twice the radius
    • They are congruent

  6. Question 6

    A circle has a radius of 6 cm. A tangent segment runs from an outside point to the circle, and that point is 10 cm from the centre. How long is the tangent segment?

    • 16 cm
    • 4 cm
    • 8 cm

More Grade 9