Determine whether or not the two triangles in each pair are similar. If so, write a flowchart to show your reasoning. If not, explain why not.

Part a.

Based on these two facts

This means the triangles are similar through the AA (angle angle) similarity postulate.

One similarity statement would be

The order of the letters of D,E,C is based on A,B,C so that the corresponding congruent angles pair up. A pairs with D, B pairs with E, C pairs with itself.

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Part b.

Similar to part a. These two triangles are similar because

So again we are using the AA similarity postulate.

The alternate interior angles are only congruent because of the parallel lines WV and YZ

One similarity statement would be

Again, order matters.

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step-by-step explanation:

ca = ec

cpctc makes it so that corresponding parts of the triangle you proved to be equal are equal, the other options aren't part of the part of the triangles you proved to be equal.