10.3 Using Chords

​10.3 Using Chords

​" The results you achieve will be in direct proportion to the effort you apply."

Dennis Waitely

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Multiple Choice

Find the value of x. #1

• 130

• 32.5

• 65

• 97.5

Multiple Choice

Find the value of x. #2

• 4

• 8

• 33

• 37

Multiple Choice

In a circle (or congruent circles), congruent arcs: #3

• have congruent chords

• have congruent points

• are twice the measure of their radii

• can climb a hippo

Multiple Choice

In a circle, if a diameter is is perpendicular to a chord, then: #4

• it bisects the chord

• it bisects the corresponding arc

• it bisects BOTH the chord and its arc

• none of these answers are correct

Multiple Choice

Find the measure of the arc or the red chord. #6

• 75 degrees

• 225 degrees

• 150 degrees

• 170 degrees

Multiple Choice

Find the value of x. #7

• 7

• 40

• 5

• 8

Multiple Choice

#8

• 5

• 6

• 7

• 8

Multiple Choice

Find the value of x. #10

• 15

• 13

• 3

• 6

Multiple Choice

In  a circle, if a radius or diameter is perpendicular to a chord, then it____ the chord and its arc. #11

• equals

• bisects

• arcs

• circles

Multiple Choice

Use chords to solve for x. #15

• x = 35^o

• x = 50^o

• x = 70^o

• x = 140^o

Multiple Choice

Find the radius of circle Q. #17

• 15

• 16

• 17

• 18

Multiple Choice

In circle R, chords MN=PO.

Find RS. #21

• 15

• 13

• 10

• 7

Multiple Choice

Solve for x. #22

• 3.6

• 9.2

• 11.5

• 14.3

Multiple Choice

If $$\overline{BD}\cong\overline{DC}$$ and  $$\overline{EF}\ \perp\ \overline{BC}$$ , what conclusions can say about  $$\overline{EF}$$  ?  (Hint: Use Chord Theorem #2) #24

• undefined is the radius of circle A

• undefined is a secant line of circle A

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

• undefined is the tangent line of circle A

Multiple Choice

Find the value of x. #30

• 12.5

• 8

• 35

• 16

Multiple Choice

Use the diagram of circle A.

Which expression and deductive reasoning can be used to find the value of y? #33

• $$2y+1=\ 5x-18$$ because if a diameter is perpendicular to a chord, its the perpendicular bisector to the chord. Therefore the chord is equal to its corresponding arc.

• $$y+3=3x-4$$ because if a diameter is perpendicular to a chord, its the perpendicular bisector to the chord. Therefore the chord is equal to its corresponding arc.

• $$y+4+2y+1$$ because if a diameter is perpendicular to a chord, its the perpendicular bisector to the chord. Therefore the chords are added together.

• $$y+4=2y+1$$ because if a diameter is perpendicular to a chord, its the perpendicular bisector to the chord. Therefore the chord is divided into two equal halves.