CD is the perpendicular bisector AB. G is the midpoint of AB. points E and F lie on CD. which pair of line segments must be cong
2 answers:
Answer:
AE and BE
Step-by-step explanation:
Please refer to the image attached with this.
Here in we have made a diagram a per the conditions given in the question. If we observe ΔABE, We see
AG=GE ( CD is perpendicular bisector of AB , Hence G is mid point)
∠AGE = ∠BGE = 90°
GE = GE
Hence
ΔAGE ≅ ΔBGE
Therefore the theorem of congruent triangles ,
AE ≅ BE
AG and GB must be congruent and CG and GD must be congruent as well
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