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Home > INT2 > Chapter 2 > Lesson 2.3.4 > Problem 2-114

2-114.

 Which pairs of triangles below are congruent and/or similar? For each part, explain how you know using an appropriate triangle congruence or similarity condition. Note: The diagrams are not necessarily drawn to scale. Homework Help ✎

What does it mean for two triangles to be congruent? What does it mean for two triangles to be similar?
How are these two definitions different?

  1. image a

    Divide each side of the triangle on the left by .
    What do you notice?

  1. image b

    congruent ( or )

  1. image c

    Use the Pythagorean Theorem to solve for the missing side.

  1. image d

    Where is the located on each triangle?

    similar () but not congruent since the two sides of length are not corresponding