Question

1. Determine the length of JG using

circle D.
Show your work and write out your
justification.
Be prepared to answer questions
about additional angles, arcs and
segments from circle D.

Answer 1

5

Explanation:

Answer 2

Given:

In circle D,
`\angle EDH\cong \angle EDG`.

To find:

The length of JG.

Solution:

We know that, if two central angles are congruent then the corresponding chords are congruent and their measures are equal.

We have,

`\angle EDH\cong \angle EDG`

It means chords EH and EG are congruent and their measures are equal.

`EH=EG`

`9=EG`

Using segment addition property, we get

`EJ+JG=EG`

`4+JG=9`

`JG=9-4`

`JG=5`

Therefore, the length of JG is 5 units.