Question

In circle D, ∠EDH ≅ ∠EDG. What is the length of JG?

4 units

5 units

6 units

9 units

Answer 1

Explanation:

OPTION 2 OR B!!!

Answer 2

The correct option is 2. The length of JG is 5 units.

Explanation:

Given information: ∠EDH ≅ ∠EDG, EH=9, EJ=4.

Corresponding sides of two triangles are congruent.

`EH=EG` (CPCTC)

`9=EG` .... (1)

From the given figure it is clear that

`EG=EJ+JG`

`EG=4+JG` ... (2)

Using (1) and (2), we get

`9=4+JG`

Subtract 4 from both the sides.

`9-4=JG`

`5=JG`

The measure of JG is 5 units, therefore the correct option is 2.