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Home > CCG > Chapter 6 > Lesson 6.1.4 > Problem 6-35

6-35.

For each pair of triangles below, decide if the pair is similar, congruent or neither. Justify your conclusion using a flowchart. Assume that the diagrams are not drawn to scale. Redraw and label the diagrams as needed.  

Note: In this course, you are expected to label the vertices of your triangles.

  1. The right triangle on the left has legs 4, and, 3. The triangle on the right has side lengths 6, 8, and 10.

    Find the length of the hypotenuse of the right triangle.

  1. Two intersecting line segments with segments joining the opposite ends, create two triangles, top angle on left triangle labeled, 62 degrees, bottom angle on right triangle labeled, 62 degrees.

    What kind of angles are these?

    Arc added to left triangle, right angle, & arc added to right triangle, left angle, angles between the intersecting lines on each side.

    Since the vertical angles are congruent, the triangles are similar by .

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