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Home > INT2 > Chapter 2 > Lesson 2.3.3 > Problem 2-103


Use the triangles at right to answer the following questions. Are the triangles at right similar?

  1. How do you know if they are similar? 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. 3 Ovals, Numbers 1 & 2 flow to #3.

Remember what belongs where in the construction of the flowchart. Added: Line Segment to the side & below oval #3, identified as Reason, Ovals 1 & 2 identified as facts, Oval 3 identified as Conclusion.

Fill in the flowchart. In the ''Facts'' ovals, write the facts that led you to the triangle similarity condition. Labels added to oval #1, measure of angle A = measure of angle D, to oval #2, measure of angle b = measure of angle E.

In the ''Conclusion'' oval, write whether or not the triangles are similar. Label added to oval #3, triangle, A B C is similar to triangle, D E F.

Below and to the right of the ''Conclusion'' oval, write the triangle similarity condition that you used. Label added above line segment, A A similarity.