Triangle ABC is dilated to form new triangle DEF. If angle A is congruent to angle D, what other information will prove that the two triangles are similar? Angle C is congruent to angle D.Side BC is congruent to side EF.Side AB is congruent to side DE.Angle B is congruent to angle E.
To prove that two triangles are similar, we need to show that their corresponding angles are congruent and their corresponding sides are proportional
To prove that two triangles are similar, we need to show that their corresponding angles are congruent and their corresponding sides are proportional. In this scenario, we are given that angle A is congruent to angle D, and angle C is congruent to angle D. Therefore, we have two pairs of congruent angles, but we need to check for the remaining information.
To prove similarity, we need to show that the corresponding sides are proportional. We have the following side information provided:
1. Side BC is congruent to side EF.
2. Side AB is congruent to side DE.
Since Side BC is congruent to side EF, and side AB is congruent to side DE, we have two pairs of corresponding sides that are congruent. Therefore, we can conclude that the two triangles ABC and DEF are similar based on the Angle-Angle-Side (AAS) similarity criterion.
More Answers:
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