In the diagram shown, ac is parallel to de. explain how you can tell that triangle abc is similar to triangle dbe, using the angle-angle similarity postulate.
a triangle, d b e with a horizontal side, d e, on the bottom. another horizontal line a c cuts the two sides of the triangle. a lies on b d and c lies on b e.
a.) ∠b is an angle of both triangles. side be is a transversal cutting through the parallel sides. thus, ∠bac and ∠bde are alternate interior angles and have equal measures.
b.)∠b is an angle of both triangles. side bd is a transversal cutting through the parallel sides. thus, ∠bac and ∠bde are corresponding angles and have equal measures.
c.)∠b is an angle of both triangles. side be is a transversal cutting through the parallel sides. thus, ∠acb and ∠ace are complementary angles and have equal measures.
d.)∠b is an angle of both triangles. side bd is a transversal cutting through the parallel sides. thus, ∠bac and∠dac are supplementary angles and have equal measures.