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2-84.

Determine which of the following pairs of triangles are similar. Justify your answer.

  1. Two triangles. Left triangle has angles 60 and 40 degrees with the side opposite the 60 degree angle having a length of 4. The right triangle has the angles 60 and 85 degrees with the side opposite the 85 degree angle having a length of 6.

    Find the missing angle measure for each triangle to see if applies.

    The triangles are not similar because they have different angle measures.

  1. Two triangles. Left triangle has angles 50 & 45 degrees with the side opposite the unknown angle having a length of 6 while the side opposite the 50 degree angle is 4. The right triangle has the angles 50 and 85 degrees with the side opposite the 85 degree is 9 and the side opposite the 50 degree angle is 6.

    Find the missing angle measure for each triangle to see if applies.

  1. Two triangles. Triangle at left has side lengths 14, 12, and 16. Triangle at right has side lengths 7, 6, and 8.

    Write a ratio for each pair of sides. If the triangles are similar, all three ratios should be equal.

    Is this true?