3.5 Investigation: Congruent Angles

Directions: Use the interactive worksheet to create triangles that have two sets of corresponding angles with equal measures. Will they be similar?

1. When angle A is equal to angle D, and angle B is equal to angle E, how do you know that angle C is equal to angle F? 2. How do you know that the triangles are similar when they have two corresponding angle measures equal? 3. Summarize your results from this investigation. Why are they useful? 4. If angle A was equal to angle E, and angle B was equal to angle D, how would the similarity statement for the two triangles change from what you investigated, ABC~DEF?