which diagram could be used to prove △abc ~ △dec using similarity transformations?
which diagram could be used to prove △abc ~ △dec using similarity transformations?
Answer
Explanation:
Step1: Recall similarity - transformation conditions
For two triangles $\triangle ABC$ and $\triangle DEC$ to be similar using similarity - transformations, we need to show that their corresponding angles are equal. The AA (angle - angle) similarity criterion states that if two angles of one triangle are equal to two angles of another triangle, then the two triangles are similar.
Step2: Analyze the second diagram
In the second diagram, we can see that $\angle BAC=\angle EDC$ (marked by the single - arc angles) and $\angle ACB=\angle DCE$ (common angle). By the AA similarity criterion, $\triangle ABC\sim\triangle DEC$. In the first diagram, we do not have enough information about the angles to prove similarity using similarity - transformations.
Answer:
The second diagram.