Line t is the perpendicular bisector of FG. If line t intersects FG at point H, which of the following statements must be true?

Question

3 years ago

14

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

Mathematics

2 answers:

34kurt · Answer 1 · 2022-04-21T21:45:42+03:00

34kurt3 years ago

3 0

The answers should be A, B, and C.

Hope this helped!

Vikentia [17] · Answer 2 · 2022-04-21T22:59:07+03:00

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.