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Home > GC > Chapter 12 > Lesson 12.2.4 > Problem 12-88

12-88.

Examine the triangles below. Which, if any, are similar? Which are congruent? For each pair that must be similar, state how you know. Remember that the diagrams are not drawn to scale.  

  1. A triangle with a base of 16 with a 30 degrees angle and a 60 degrees angle on either side.

  1. A triangle with side lengths 20, 10, and 10 square root of 3.

  1. A triangle with a base of 8. 90 degrees angle is in between the base and right side. 30 degrees angle is opposite the side, 8.

  1. A right triangle with a hypotenuse of 10 and a leg of 5.

Find the angle measures of the shapes. What do you notice?

Check if similar triangles are congruent by comparing the length of corresponding sides.