Circles: Practice 3

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

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

Topic: Angles in Circles · Skill: Use angles in the same segment theorem

Question 2

MediumQuestion

In a circle, a perpendicular from the centre to a chord meets the chord at $M$ . What must be true about the chord?

Topic: Angles in Circles · Skill: Use angle in a semicircle theorem

Question 3

MediumQuestion

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

Topic: Cyclic Points and Quadrilaterals · Skill: Determine whether four points are concyclic

Question 4

MediumQuestion

During a survey problem on cyclic points and quadrilaterals, what is the diameter of a circle whose radius is $7\,cm$ ?

Topic: Cyclic Points and Quadrilaterals · Skill: Apply opposite angle property of cyclic quadrilaterals

Question 5

MediumQuestion

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

Topic: Cyclic Points and Quadrilaterals · Skill: Use converse of cyclic quadrilateral angle property

What this assignment covers

Progressive Grade 9 Math practice for Angles in Circles to Circle Applications.

Skills and sections

Use angles in the same segment theorem, Use angle in a semicircle theorem, Determine whether four points are concyclic, Apply opposite angle property of cyclic quadrilaterals, Use converse of cyclic quadrilateral angle property

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