Line t is the perpendicular bisector of FG. If line t intersects FG at point H, which of the following statements must be true?
Check all that apply. A. Point H is the midpoint of FG B. Line t intersects FG at a right angle C. Line t is perpendicular to FG D. FG = FH E. Line t is parallel to FG
2 answers:
Answer:
option A, B and C are true.
( A. Point H is the midpoint of FG
B. Line t intersects FG at a right angle
C. Line t is perpendicular to FG )
Step-by-step explanation:
We are given that Line t is the perpendicular bisector of FG.
If line t intersects FG at point H.
- This means that Point H is the mid-point of the line segment FG i.e. it divides the line segment into two equal parts.
i.e. FH=HG.
- Also as t is the perpendicular bisector of FG.
that means line t forms a right angle at FG.
also t is perpendicular to line FG.
Hence, option A,B, and C are true.
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