10.3 Using Chords

130

32.5

65

97.5

4

8

33

37

have congruent chords

have congruent points

are twice the measure of their radii

can climb a hippo

it bisects the chord

it bisects the corresponding arc

it bisects BOTH the chord and its arc

none of these answers are correct

75 degrees

225 degrees

150 degrees

170 degrees

7

40

5

8

5

6

7

8

15

13

3

6

equals

bisects

arcs

circles

x = 35^o

x = 50^o

x = 70^o

x = 140^o

15

16

17

18

15

13

10

7

3.6

9.2

11.5

14.3

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

12.5

8

35

16

$$2y+1=\ 5x-18$$ 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.