Determine whether the following pairs of triangles, (i)-(iv), are similar. If th

Question

Determine whether the following pairs of triangles, (i)-(iv), are similar. If they are similar, explain why. Find the scale factor of the triangles that are similar. The figures are not drawn to scale. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. Delta ABE - Delta DBC by the SSS Similarity for Triangles theorem. The scale factor of Delta ABE to Delta DBC is (Type an integer or a simplified fraction) B. Delta ABE - Delta DBC by the AA Similarity for Triangles theorem. The scale factor of Delta ABE to Delta DBC is (Type an integer or a simplified fraction.) C. Delta ABE - Delta DBC by the SAS Similarity for Triangles theorem. The scale factor of Delta ABE to Delta DBC is (Type an integer or a simplified fraction)

Explanation / Answer

AB/DB = 4/6 = 2/3

BE/BC = 1/1.5 = 2/3

ANGLE ABE AND DBC ARE EQUAL BEING VERTICALLY OPPOSITE ANGLES

so by SAS triangles are similar

so option C is correct and scale factor is 2/3

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