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Geometry: Circle Properties & Problems

This document contains information about properties of circles including symmetry, chords, arcs, and angles. It also contains 10 questions involving finding unknown angle measures using properties of circles, chords, arcs, and angles. The questions provide diagrams of circles with lines intersecting them and ask for the measure of specific angles based on the circle properties shown.

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KURIKULUM STBS
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482 views11 pages

Geometry: Circle Properties & Problems

This document contains information about properties of circles including symmetry, chords, arcs, and angles. It also contains 10 questions involving finding unknown angle measures using properties of circles, chords, arcs, and angles. The questions provide diagrams of circles with lines intersecting them and ask for the measure of specific angles based on the circle properties shown.

Uploaded by

KURIKULUM STBS
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as DOCX, PDF, TXT or read online on Scribd
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3.

1 Circles II

(A) Properties of Circles Involving Symmetry, Chords and Arcs

(B) Identify the Properties of Chords


(1) A radius that is perpendicular to a chord divides the chord into two equal
parts.
(C) Properties of Angles in Circles

(1)

(2)
(3)

(4)
(5)
Question 1:
(a) In Diagram below, KLM, LPN and MPO are straight lines.

Find the value of x and of y.

(b) In the diagram below, O is the centre of the circle. Find the value of

(i) x (ii) y
Question 2:
(a) In Diagram below, AOC and BCD are straight lines with centre O.

Find the value of y.

(b) In diagram below, ABCD is a circle with centre O and ADE is a straight line.

Find the value of y.


Question 3:

(a) In diagram below, ABCD is a circle. AEC and BED are straight lines.

Find the value of y.

(b) Diagram below shows a circle KLMN with centre O.

Find the value of x.


Question 4:
Diagram below shows a semicircle ABCD with centre O.

It is given that AB = CD.


Find the value of y.

Question 5:
In diagram below, ABC and DEF are straight lines.

Find the value of x and of y.


Question 6:
Diagram below shows a circle with centre O. POR is a straight line.

Find the value of x and of y.

Question 7:
Diagram below shows a circle with centre O.

Find the value of x.


Question 8:
Diagram below shows a circle. QTS is the diameter of the circle and PTR is a
straight line.

Find the value of x.

Question 9:
Diagram below shows a circle with centre O. PQR is a straight line.

Find the value of x and of y.


Question 10:
In diagram below, ABCD and DEFG are straight lines.

Find the value of x and of y.

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