Back to Exercise: Tangent lines and chord properties

Tangent Lines and Chord Properties - Practice Set

Grade 10·22 problems·~37 min·Digital SAT Math·topic·sat-geotrig-circ-tangent

Printable layout

Recall / Warm-Up

A line has slope $\dfrac{3}{4}$ . What is the slope of a line perpendicular to it?

$-\dfrac{4}{3}$

$\dfrac{4}{3}$

$-\dfrac{3}{4}$

$\dfrac{3}{4}$

A right triangle has a hypotenuse of $10$ and one leg of $6$ . Find the length of the other leg.

Which statement correctly describes a chord of a circle?

A chord passes through the center of the circle.

A chord is tangent to the circle.

A chord has both endpoints on the circle.

A chord always bisects the circle.

Fluency Practice

A circle has center $O$ and radius $5$ . A tangent line touches the circle at point $P$ . If the distance from $O$ to a point $Q$ on the tangent line is $13$ , find $PQ$ .

A circle has radius $7$ . A tangent line from external point $P$ touches the circle at $T$ . The distance $OP = 25$ . Find the length of the tangent segment $PT$ .

Two tangent lines are drawn from external point $P$ to a circle of radius $6$ . The distance from $P$ to the center $O$ is $10$ . Find the length of each tangent segment.

A circle has radius $10$ and a chord is $8$ units from the center (perpendicular distance). Find the chord length.

Two chords intersect inside a circle. One chord is divided into segments of $6$ and $4$ . The other chord is divided into segments of $3$ and $x$ . Find $x$ .

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