Question

In circle D, ∠EDH ≅ ∠EDG.

Circle D is shown. Line segment F H is a diameter. Line segments D E and D G are radii. Lines are drawn from point E to point G and from point E to point H to form secants. The length of E J is 4 and the length of E H is 9. The measure of arc F E is 57 degrees and the measure of arc F G is 66 degrees.

What is the length of JG?

4 units
5 units
6 units
9 units

Answer 1

5

Explanation:

i got it right

Answer 2

5 units

Explanation:

The computation of the Length of DG is as follows;

Given that

∠EDH ≅ ∠EDG,

EH = 9,

EJ = 4.

Based on the above information, as we can see that the two sides i.e. corresponding are congruent

EH = EG (CPCTC)

EG = 9.........(i)

Now

EG = EJ + JG

EG = 4 + JG ........(ii)

Now after solving this

JG = 5 units

Hence, the second option is correct