in circle d, ∠edh ≅ ∠edg. what is the length of (overline{jg})? 4 units 5 units 6 units 9 units
in circle d, ∠edh ≅ ∠edg. what is the length of (overline{jg})? 4 units 5 units 6 units 9 units
Answer
Explanation:
Step1: Recall circle - congruent - angle property
In a circle, if two central angles are congruent, then the chords they intercept are congruent. Since (\angle EDH\cong\angle EDG), chord (EH) and chord (EG) are congruent.
Step2: Identify the length of related chord
We know that (EH = 9) (given in the figure). Because (EH\cong EG), and (JG) is part of chord (EG) and (EJ = 4), (JG=EG - EJ). Also, since (EH = EG = 9), then (JG=9 - 4=5).
Answer:
5 units