Evaluate (7² - 9 ) ÷ ( 55 - 35 ). A: -34 B: 48 C: -4 D: 2
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Triangle AEB could be proven similar to triangle DEC using the AA similarity postulate as ∠AEB ≅ ∠DEC because vertical angles are congruent; rotate ΔCED 180° around point E, then translate point D to point A to confirm ∠EAB ≅ ∠EDC.
<h3>What is AA similarity postulate?</h3>
The AA Similarity Postulate shows that two triangles are similar. If two angles in one triangle are congruent to two angles in another triangle, then the two triangles are similar.
In tis case, Triangle AEB could be proven similar to triangle DEC using the AA similarity postulate as ∠AEB ≅ ∠DEC because vertical angles are congruent; rotate ΔCED 180° around point E, then translate point D to point A to confirm ∠EAB ≅ ∠EDC.
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