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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 create two triangles by lines joining the ends at opposite sides. Each triangle has a 62 degree angle opposite the side with the same intersecting line.

    What kind of angles are these?

    What kind of angles are the angles directly opposite of each other by two intersecting lines?

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