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11.02 Lines tangent to a circle

Adaptive
Worksheet

Interactive practice questions

In the figure below, $AC$AC is tangent to both circles.

a

Show that $\angle OBP$OBP is a straight angle.

b

Therefore what can we say about points $O$O, $B$B and $P$P?

They form a triangle.

A

They are collinear.

B
Easy
2min

In the diagram, $AC$AC is a tangent to the circle with center $O$O. What is the measure of $x$x?

Easy
< 1min

If $\overline{BA}$BA is a tangent to the circle, determine the value of $x$x showing all steps of working.

Easy
1min

State the value of $a$a in the following diagram.

Easy
2min
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Outcomes

G.C.A.2

Identify and describe relationships among inscribed angles, radii, and chords. Include the relationship between central, inscribed, and circumscribed angles; inscribed angles on a diameter are right angles; the radius of a circle is perpendicular to the tangent where the radius intersects the circle.

G.C.A.4 (+)

Construct a tangent line from a point outside a given circle to the circle.

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