Apply segment properties in a circle to solve problems
1) Find \(CD\)
2) Find \(x\)
3) Find \(m\overset{\Huge{\frown}}{{XY}}\)
4) Find: a) \(m\overset{\Huge{\frown}}{{HRD}}\) b) \(m\overset{\Huge{\frown}}{{CH}}\) c) \(m\overset{\Huge{\frown}}{{CD}}\)
5) Find: a) \(m\overset{\Huge{\frown}}{{NP}}\) b) \(m\overset{\Huge{\frown}}{{MN}}\)
6) Find \(m\overset{\Huge{\frown}}{{PE}}\)
7) Given \(\overline{AD} \perp \overline{BC}\) a) Find \(m\overset{\Huge{\frown}}{{AB}}\) b) Find \(FC\)
8) Find \(KO\), \(x\), and \(y\)
9) In \(\bigodot P\), Find: a) \(x\) and \(y\) b) What is the radius of the circle?
10) In \(\bigodot O\), Find: a) \(x\) b) Find \(MT\) and \(TV\)
11) a) Find \(m\overset{\Huge{\frown}}{{IN}}\) b) Explain why \(\overline{IK}\) is a diameter
12)a) Is \(\overline{BD} \cong\overline{DC}\)? How do you know? b) Does \(\overline{AD}\) bisect \(\overline{BC}\)? c) Does \(\overline{AD}\) contain the center of the circle?
13) Find \(YZ\)
14) Given \(\overline{TA} \cong \overline{NG}\) a) Find \(x\) b) Find \(OP\) and \(OQ\)
15)a) Find \(PM\) b) Find \(PL\) c) Find \(NA\)
16) Given \(KG = \Large\frac{4}{5}\normalsize x + 3\), \(IN = \Large\frac{7}{10}\normalsize x + 8\) a) Find \(x\) b) Find \(KG\) c) Find \(IN\)
17) Point \(A\) is a point of tangency, the \(PA = 4\), and \(CB = 1\). Find \(x\).
18) Given that \(\overline{OG}\) is a radius, is \(\overline{DG}\) a tangent segment? Explain your reasoning.
19) \(\overline{TA}\) is a tangent segment to . Find \(AT\)
20) Find \(x\)
21) Find \(x\)
22) Find the wheel base length for Mr. Sladkey's bicycle. Round to the nearest tenth of an inch.
23) Given \(\overleftrightarrow{QU}\) is tangent to \(\bigodot E\) at \(Q\). a) What is the length of the radius? b) What is the equation of \(\overleftrightarrow{QU}\)?
24) Given \(\overleftrightarrow{TI}\) is tangent to \(\bigodot O\) at \(T\). a) What is the length of the radius? b) What is the equation of \(\overleftrightarrow{TI}\)?
25) Given: \(\bigodot I\) with tangent segments \(\overline{AX}\) and \(\overline{AS}\) a) Find \(AX\) b) Find \(x\)
26) Given: \(\bigodot I\) with tangent segments \(\overline{SE}\) and \(\overline{NE}\) a) Find \(x\) b) Find \(NE\)
27) Given: \(\bigodot U\) with tangent segments \(\overline{BC}\) and \(\overline{BE}\). Find \(z\).
28) Given: \(\bigodot W\) with tangent segments \(\overline{KS}\) and \(\overline{KE}\). Find \(y\).
Review 29) Find the equations of the lines that pass through the midsegments of \(\triangle ABC\).
30) Find the equations of the perpendicular bisectors of \(\triangle ABC\)