Question

Given: Line segment FH bisects ∠GHK and ∠GFK Prove: ΔFGH ≅ ΔFKH

Terms:
- Line segment FH bisects ∠GHK and ∠GFK
- ∠GHF ≅ ∠KHF and ∠GFH ≅ ∠KFH
- Line segment FH ≅ Line segment FH
- ΔFGH ≅ ΔFKH

Definitions:
A) Reflexive Property
B) ASA
C) Given
D) Definition of Angle Bisector

Answer 1

Here's what I think they are:

Line segment FH bisects ∠GHK and ∠GFK = C) Given
∠GHF ≅ ∠KHF and ∠GFH ≅ ∠KFH = D) Definition of Angle Bisector
Line segment FH ≅ Line segment FH = B) ASA
ΔFGH ≅ ΔFKH = A) Reflexive Property

Answer 2

C) and D) are correct with the first two statements.
Now for the 3rd statement, - Line segment FH ≅ Line segment FH,
it is stating that something is congruent to itself. That is reflexive.
The last statement is that two triangles are congruent; that is what ASA is for.

Answer 3

ok, thank you so much for your help!

Answer 4

wlcm