Question

If GB=GE and AC = 12 cm, find the length of DF.

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Answer 1

Hint:

Triangles GBC and GED are congruent by the HL property of congruence

you can use the same property to show that triangles GBA and GEF are congruent

So that will allow you to combine the two sets of triangles to say

triangle CGA = triangle DGF (SSS property)

Answer 2

12?

Answer 3

good, by CPCTC, you then show that AC = DF

since AC = 12, DF must also be 12

Answer 4

the ultimate conclusion that they (probably) want you to reach is that any two chords that are the same distance away from the center are the same length

Answer 5

Thank you

Answer 6

you're welcome