Question

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.) ∠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.

Answer 1

Answer:

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.

Step-by-step explanation:

Since BD splits up the angles in two, in this case, they form right angles, which corresponds to them to them having equal measures of 90°.

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Answer 2

Answer:

D

Step-by-step explanation:

Angle B is in both of the triangles. Side BD is a transversal cutting through the  parallel lines. Angle BAC and angle DAC are supplementary andles and have equal measures.

Supplementary angles are when the angles add up to 180 degress. Because angle BAC and angle DAC form a right angle, both would have ewual measurues.