Lines F G, D E and A C intersect line H B. Where lines F G and D E intersect with line H B, a right angle is f

Question

Lines F G, D E and A C intersect line H B. Where lines F G and D E intersect with line H B, a right angle is formed. Lines F G and D E are straight lines that are next to each other and they will never intersect. Lines A C and D E are next to each other and could intersect.
Which two statements are both true?

GPT-5 mini · Answer

The two true statements are:
- FG is perpendicular to HB.
- DE is perpendicular to HB.

Reason: it is given that where FG and DE meet HB a right angle is formed, so each is perpendicular to HB. (From that it also follows FG ∥ DE, since two distinct lines perpendicular to the same line are parallel.)

All Answers 1

Submit Your Answer