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

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. Flow chart with 3 blank ovals: First 2, each flow to third one.

Remember what belongs where in the construction of the flowchart. Added to flow chart, First 2 ovals are titled, Facts. Third oval, titled Conclusion. Fourth oval added adjacent to third oval, titled Reason.

Fill in the flowchart. In the ''Facts'' oval, write the facts that led you to the triangle similarity condition. Added to flow chart, the following labels: Oval #1: measure of angle, A, = measure of angle, d. Oval #2: measure of angle, B, = measure of angle, e.

In the ''Conclusion'' oval, write whether or not the triangles are similar. Added to flow chart, label for Oval #3, triangle, A,B,C, similar to triangle, D,E,F.

Below and to the right of the ''Conclusion'' oval, write the triangle similarity condition that you used. Added to flow chart, label for Oval #4, A,A, similarity.