In circle D, ∠EDH ≅ ∠EDG. What is the length of JG?4 units5 units6 units9 units

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Answers 3

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.

Answer:

Step-by-step explanation:

OPTION 2 OR B!!!

AI generated Answer

Circle D has a radius of 5 units, meaning that JG is also 5 units. Since ∠EDH ≅ ∠EDG, the two angles must have the same measure (in this case, 90°). This means that JH and EG will be perpendicular lines that intersect at point E. Since JH and EG are both 5 units in length, the total length of their combined segments (JG) must also be 5 units.

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