Chord Theorem

If $\overline{BD}\cong\overline{DC}$ and  $\overline{EF}\ \perp\ \overline{BC}$ , what conclusions can say about  $\overline{EF}$  ? 
(Hint: Use Chord Theorem #2)

•  $\overline{EF}$  is the radius of circle A

•  $\overline{EF}$  is a secant line of circle A

•  $\overline{EF}$  is the diameter of circle A

•  $\overline{EF}$  is the tangent line of circle A

solve for f

• 7

• 14

• 21

• not enough information to solve

solve for the missing angle

• 45 degrees

• 90 degrees

• 100 degrees

• not enough information to answer

Find the measure of Arc MN

• 66
• 73.5
• 147
• 33

Tags

CCSS.HSG.C.A.2

Determine the value of x and y.

• $x=64^{\circ\ }$ and $y=4$

• $x=4$ and $y=64^{\circ}$

• $x=116^{\circ}$ and $y=4$

• $296^{\circ}$ and $y=4$

In a circle, if a diameter is is perpendicular to a chord, then:

• it bisects the chord
• it bisects the corresponding arc
• it bisects BOTH the chord and its arc
• none of these answers are correct

Tags

CCSS.HSG.C.A.2

Use circle A to answer the following questions. 

If measure of arc BC is  $80^{\circ}$ . Find the measure of arc CD.
Hint: Use the Chord Theorem #1)

•  $140^{\circ}$  

•  $280^{\circ}$  

•  $80^{\circ}$  

•  $250^{\circ}$  

Find the measure of Arc MN

• 96
• 114
• 228
• 48

Find the value of x.

• 31,3
• 8
• 16.3
• -8

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Find the value of x.

• 10
• 181
• 34
• 40

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSG.C.A.2