Question

100PT! ABCD is a square. Given only the choices below, which properties would you use to prove AEB ≅ DEC by ASA? (You can choose more than one!)

Opposite angles are congruent.
The diagonals bisect each other.
All sides are congruent.
Opposite sides are parallel.

Answer 1

To prove AEB ≅ DEC by ASA (Angle-Side-Angle), the properties that can be used are:

1. Opposite angles are congruent: This property is necessary to establish that ∠AEB ≅ ∠DEC, as both angles are opposite each other in the square ABCD.

2. All sides are congruent: This property is necessary to establish that AE ≅ DE, as both sides are corresponding sides of the square ABCD.

So, the properties to use for proving AEB ≅ DEC by ASA are "Opposite angles are congruent" and "All sides are congruent."

Explanation:

Answer 2

To prove AEB ≅ DEC by ASA (Angle-Side-Angle), the properties that can be used are:

• 1. Opposite angles are congruent: This property is necessary to establish that ∠AEB ≅ ∠DEC, as both angles are opposite each other in the square ABCD.

• 2. All sides are congruent: This property is necessary to establish that AE ≅ DE, as both sides are corresponding sides of the square ABCD.

So, the properties to use for proving AEB ≅ DEC by ASA are "Opposite angles are congruent" and "All sides are congruent."

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