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Home > GC > Chapter 5 > Lesson 5.2.1 > Problem 5-50

5-50.

Decide if each pair of triangles below are similar. If they are similar, show a flowchart that organizes your reasoning. If they are not similar, explain how you know.  

  1. Triangle A, B, C, and triangle D, E, F. A, B is 10, A, C is 11, and B, C is 12. D, E is 15, D, F, is 17, and F, E is 18.

    Look at the triangles. Does there seem to be a zoom factor? Do the sides seem to be proportional?

  1. In triangle G, H, I, side G, H is, 5 and side H, I is, 5. Angle H is 110 degrees. In triangle J, K, L, side J, K and side K, L are both 8. Angle K is 110 degrees.

    How could these triangles be proved similar? Are there any congruent angles? Are there any proportional sides?

    because the angle  is between both sets of proportional sides.

  1. Triangle N, M, P, has one tick mark on each side. Triangle Q, R, S, has two tick marks on each side.

    What do the tick marks on the sides of the triangles mean? What type of triangles are they in part (c)?

    because both triangles are equilateral so all sides are proportional.

  1. Right triangle, T U V, where leg, U V, is 3 & hypotenuse, T V, is 5. Right triangle, W X Y, where leg, W X, is 6 and leg, X Y, is 8.

    There are different ways that these triangles could be proved similar if you find the missing sides of both triangles. Use the Pythagorean Theorem.

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