Circles: Practice 2

Practise focused skills from Circles

MathematicsGrade 9Mixed10 questions20 min

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Focus question style

Section A: Core Practice · 5 questionsSection B: Application Practice · 5 questions

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Section A: Core Practice

Build the core ideas for this part of the chapter.

Choose the best answer for each question.

Question 1

EasyQuestion

If two chords of a circle are equidistant from the centre, what can be concluded?

Topic: Chords and Central Angles · Skill: Prove chords subtending equal central angles are equal

Question 2

MediumQuestion

During a proof problem on chords and perpendiculars, what is the diameter of a circle whose radius is $7\,cm$ ?

Topic: Chords and Perpendiculars · Skill: Prove centre-to-midpoint line is perpendicular to a chord

Question 3

MediumQuestion

A cyclic quadrilateral has one angle equal to $70^\circ$ . What is the measure of its opposite angle?

Topic: Chords and Perpendiculars · Skill: Prove perpendicular from centre bisects a chord

Question 4

MediumQuestion

Triangle $ABC$ has base $AB=7$ units on a horizontal line and perpendicular height $5$ units. What is its area?

Topic: Chord Distance · Skill: Relate chord length to distance from centre

Question 5

MediumQuestion

The point $(-2,3)$ lies in which quadrant?

Topic: Chord Distance · Skill: Prove equal chords are equidistant from centre

What this assignment covers

Progressive Grade 9 Math practice for Chords and Central Angles to Angles in Circles.

Skills and sections

Prove chords subtending equal central angles are equal, Prove centre-to-midpoint line is perpendicular to a chord, Prove perpendicular from centre bisects a chord, Relate chord length to distance from centre, Prove equal chords are equidistant from centre

Section A: Core Practice: 5 questions
Section B: Application Practice: 5 questions