Topics
9. Geometry
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Grade 9

9.08 Tangent to a circle

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Worksheet
Practice

Interactive practice questions

In the diagram below, the line $ST$ST is tangent to circle $\bigodot O$⊙O at the point$T$T.

A circle with a center labeled $O$O and a radius $overline(OT)$overline(OT) is drawn from $O$O to a point on the circumference labeled $T$T. A tangent line $overline(ST)$overline(ST) is drawn from point $T$T to a point outside the circumference, $S$S. angle(OTS) is the angle formed by the radius $overline(OT)$overline(OT) and the tangent line $overline(ST$overline(ST). A line segment $overline(OS)$overline(OS) connects point $S$S and $O$O. $\angle OST$∠OST measures $31^\circ$31°. $\angle SOT$∠SOT is labeled as "$\left(a\right)$(a)"

Find the value of $a$a.

Medium
< 1min

In the diagram below, the line $ST$ST is tangent to circle $\bigodot O$⊙O at the point$T$T.

Medium
1min

In the diagram below, $\overline{AX}$AX and $\overline{BX}$BX are tangent to the circle $\bigodot O$⊙O at $A$A and $B$B respectively.

Medium
< 1min

In the diagram below, $\overline{PX}$PX and $\overline{QX}$QX are tangent to the circle $\bigodot O$⊙O at $P$P and $Q$Q respectively.

Medium
1min
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Outcomes

9.E1.2

Create and analyse designs involving geometric relationships and circle and triangle properties, using various tools.

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