Geometry 9.1

Properties of Chords

F

HQ

J

G

8x

7x +15

E1 Find the value of x in Q

If a diameter is to a chordthen the chord is bisected

7 15 8 -8x-15 -8x-15 -x = -15 x = 15

x x

Do P1

Solution to P1 Find the value of x in Q

If a diameter is to a chordthen the chord is bisected

3 10 4 8 -4x-10 -4x-10 -x = -18 x = 18

x x A

CQ

B

D4x–8

3x+10

F

H

C

J

G

E

4

E2 In below, FH JG, Find EGC

is a diameter and is a chord. Mark up the drawing showing FH GJ

FH EG

If a diameter is to a chordthen the chord is bisected

JE EG

4EG

Solution to P2 In below, FH JG, Find EGC

is a diameter and is a chord. Mark up the drawing showing FH GJ

FH EG

If a diameter is to a chordthen the chord is bisected

JE EG

3EG

F

HC

J

G

E

3

E3 Find the value of x in Q

Two chords are if they are equal distance from the center.

6 6 30 +6 +6 6 = 36 x = 6

x

x

P N

QL

M

6x–6

30

PN LM

The solution fo P3Find the value of x in Q

Two chords are if they are equal distance from the center.

2x-11 29 +11 +11 2 = 40 x = 20x

P N

QL

M

6x–6

30

PN LM