Proving Triangles Similar Algebraically

Activity #1: The triangles below have two congruent angles.
What do you notice about the two triangles? [i](Hint: compare the angle measures and ratios of sides)[/i]
Are the two triangles similar?
Activity #2: The two triangles below have side lengths that are proportional with a scale factor r.
What do you notice about the two triangles? [i](Hint: compare the angle measures and ratios of sides)[/i]
Are the two triangles similar?
Activity #3: The two triangles below have two pairs of corresponding sides with proportional lengths, with scale factor r, and the INCLUDED angles are congruent to each other.
What do you notice about the two triangles? [i](Hint: compare the angle measures and ratios of sides)[/i]
Are the two triangles similar?
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