Circle Geometry

Finding angles in Circles

Lengths in Circles

Parts of Circles

Chords of a Circle

Cyclic Quadrilaterals

Tangents to Circles

Centres of triangles

Alternate Segments and Intersecting Chords and Secants

Proofs using cyclic quadrilaterals

Stage 4 - Stage 5

Parts of Circles

Interactive practice questions

Which of the following is a tangent of the attached circle?

A circle with center labeled $O$O, is depicted. A line segment $OI$OI is drawn from the center to the point $I$I on the circumference. Line segment $EF$EF passes through the center $O$O from point $E$E to its opposite point $F$F, both points lie on the circumference. Line segment $GH$GH is drawn inside the circle, not passing through the center, from point $G$G to point $H$H, both points lie on the circumference. Points $C$C and $D$D are points outside the circle, a line segment $CD$CD passes through the circle but not passing through the center. $AB$AB is a line segment that touches the circle at an unlabeled point. The circle has a thick black arc on the bottom, labeled arc $JK$JK.

CD.

A

AB.

B

GH

C

OF.

D

EO

E

JK.

F

Easy

< 1min

Which of the following is a secant of the attached circle?

Easy

< 1min

Which of the following is a chord but not a diameter of the attached circle?

Easy

< 1min

Which of the following is a diameter of the attached circle?

Easy

< 1min

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