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Home > GC > Chapter 4 > Lesson 4.1.1 > Problem 4-7


Use the triangles below to answer the following questions.  

  1. Are the triangles above similar? How do you know? Show your reasoning in a flowchart.

  2. Examine your work from part (a). Are the triangles also congruent? Explain why or why not.

Triangle A, B, C, has side length A, C of 4, and angle A, 74 degrees, and angle B, 9 degrees. Triangle D, E, F has side length D, F of 4 and angle D, 74 degrees, & angle E, 9 degrees.

First decide if the triangles are similar. Which triangle similarity condition did you use?

Draw the flowchart.

Remember what belongs where in the construction of the flowchart.

Fill in the flowchart. In the ''Facts'' oval, write the facts that led you to the triangle similarity condition.

In the ''Conclusion'' oval, write whether or not the triangles are similar.

Below and to the right of the ''Conclusion'' oval, write the triangle similarity condition that you used.