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Home > INT2 > Chapter 2 > Lesson 2.3.1 > Problem 2-86

2-86.

Describe a sequence of transformations that can show the figures below are similar, if possible. Remember that there can be more than one possible sequence.

Try reflection, translation, rotation, reduction, and dilation. Note: There are many possible answers. If your answer uses a different sequence of transformations, it may still be correct.

  1. Two triangles, triangle on left, lower left angle has 1 arc, lower right angle has 2 arcs, triangle on right, left top angle has 2 arcs, bottom left angle has 1 arc.

    Reflection, rotation, and translation.

  1. Two kites, left kite, vertical, top left & right sides, each with 1 tick mark, bottom left & right sides, each with 2 tick marks. Right kite, tilted to the right, top & right sides, 1 tick mark, left & bottom sides, 2 tick marks.

    Rotation and translation.

  1. Two circles. The circle on the left has a radius of 5 with a smaller circle left & up, & another circle, right & down, from the center. The larger circle on the right has a radius of 10, with a smaller circle above, & another circle, below, the center.

  1. Two triangles. The larger triangle, on the left, is pointed upward, with sides labeled, bottom, 6, right, 8, left, 10. The smaller triangle, on the right, is pointed downward, with sides labeled, top, 3, right, 4, left, 5.

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