Question

How do you know segment HE is congruent to itself?

A) Because all line segments are congruent to themselves.
B) Because it has the same length at both ends.
C) Because it is part of a right angle.
D) Because segment EF is congruent to segment HE.

Answer 1

Segment HE is congruent to itself due to the Reflexive Property of Congruence, which states that any geometric figure or segment is exactly equal to itself.

Step-by-step explanation:

The statement, segment HE is congruent to itself, is known to be true because it is a fundamental principle in geometry that all line segments are congruent to themselves. This is known as the Reflexive Property of Congruence. What the Reflexive Property of Congruence means is that any geometric figure or segment is always exactly equal to itself. This is a basic axiom in geometry that does not rely on measurements or comparisons to other segments.