Question

statements | reasons
\\(abcd\\) is a square. | given
\\(\overline{ab} \cong \overline{bc}\\) | definition of a square
\\(\overline{be} \cong \overline{be}\\) | dropdown: substitution, reflexive, transitive, symmetric
\\(\overline{bd}\\) bisects \\(\overline{ac}\\) | property
\\(\overline{ae} \cong \overline{ce}\\) | def. of a segr
\\(\delta abe \cong \delta cbe\\) | dropdown
\\(\angle aeb \cong \angle bec\\) | dropdown
\\(m\angle aeb \cong m\angle bec\\) | def. of congruent angles
\\(\angle aeb\\) and \\(\angle bec\\) are a linear pair | def. of linear pairs
\\(\angle aeb\\) and \\(\angle bec\\) are supplementary | linear pair postulate
\\(m\angle aeb + m\angle bec = 180^\circ\\) | def. of supplementary angles
\\(m\angle aeb + m\angle aeb = 180^\circ\\) | dropdown property
\\(2 \cdot m\angle aeb = 180^\circ\\) | simplify
\\(m\angle aeb = 90^\circ\\) | dropdown property
\\(\overline{ac} \perp \overline{db}\\) | def. of perpendicular lines

Explanation:

Identificar las razones para cada paso en blanco del bloque de demostración

$$
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Answer:

1. Para la afirmación \(\overline{BE} \cong \overline{BE}\), la razón es:

Reflexive

1. Para la afirmación \(\Delta ABE \cong \Delta CBE\), la razón es:

SSS (o Side-Side-Side)

1. Para la afirmación \(\angle AEB \cong \angle BEC\), la razón es:

CPCTC (Corresponding Parts of Congruent Triangles are Congruent)

1. Para la afirmación \(m\angle AEB + m\angle AEB = 180^\circ\), la razón es:

Substitution

1. Para la afirmación \(m\angle AEB = 90^\circ\), la razón es:

Division