Question

If angle A is congruent to itself by the Reflexive Property, which transformation could be used to prove ΔABC ~ ΔADE by AA similarity postulate?

triangles ABC and ADE, in which point B is between points A and D and point C is between points A and E

Translate triangle ABC so that point B lies on point E to confirm ∠B ≅ ∠E.
Translate triangle ABC so that point C lies on point E to confirm ∠C ≅ ∠E.
Dilate ΔABC from point A by the ratio segment AD over segment AB to confirm segment AD ~ segment AB.
Dilate ΔABC from point A by the ratio segment AE over segment AC to confirm segment AE ~ segment AC.

Answer 1

The correct answer is option 2. To prove triangles ABC and ADE are similar via AA similarity, you can dilate triangle ABC from point A using the ratio of segment AE to AC.

Step-by-step explanation:

To prove ΔABC ~ ΔADE by the AA (Angle-Angle) similarity postulate, one transformation option is to dilate ΔABC from point A by the ratio segment AE over segment AC to confirm segment AE ~ segment AC. This transformation would prove that two angles are congruent, which, in addition to the given congruence of angle A to itself by the Reflexive Property, would satisfy the conditions of the AA similarity postulate.