Question

△bdf and △edc are shown below.which statement is true?△bdf is similar to △edc.△bdf is not similar to △edc.there is not enough information to determine whether the

Explanation:

Step1: Check for Angle - Angle (AA) similarity

For two triangles to be similar, two pairs of corresponding angles must be equal. In \(\triangle BDF\) and \(\triangle EDC\), we have \(\angle B=\angle E\) (given as marked angles). Also, \(\angle D\) is common to both \(\triangle BDF\) and \(\triangle EDC\).

Step2: Apply AA similarity criterion

By the Angle - Angle (AA) similarity criterion, if two angles of one triangle are equal to two angles of another triangle, then the two triangles are similar. Since \(\angle B=\angle E\) and \(\angle D = \angle D\) (common angle), \(\triangle BDF\sim\triangle EDC\)

Answer:

\(\triangle BDF\) is similar to \(\triangle EDC\)