Question

draw in all of the congruency marks you know:

• ef = gh (given)
• fg = he (given)
• eg = ge (?)

what rule tells us that eg is congruent to itself?
i will use reflexive property to say that eg is congruent to itself
edit my response
weve been studying congruent triangles.
which triangle congruence theorem will help us the most right now?
i think the triangle congruence theorem will be best based on the information we have.
submit

Explanation:

• Reflexive Property: This property states that any geometric figure (in this case, the segment \(EG\)) is congruent to itself. It is a fundamental property in geometry.
• SSS (Side - Side - Side) Congruence Theorem: We are given that \(EF = GH\), \(FG=HE\), and \(EG = GE\) (by the reflexive property). The SSS theorem states that if three sides of one triangle are congruent to three sides of another triangle, then the two triangles are congruent.

Answer:

• For the first blank: reflexive property
• For the second blank: SSS (Side - Side - Side)