In circle d, ∠edh ≅ ∠edg. what is the length of jg? 4 units 5 units 6 units 9 units


Asked by maham237 @ in Mathematics viewed by 573 People


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

5 units

6 units

9 units

Answered by maham237 @



Answer:

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

Step-by-step 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.


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