Copy of Proving Triangles Similar Algebraically
Activity #1: The triangles below have two congruent angles.
What do you notice about the angles of the two triangles?
Looking at the ratios of the side lengths, are the two triangles similar?
Activity #2: The two triangles below have side lengths that are proportional with a scale factor r. The scale factor r is the value of the ratios from corresponding sides.
What happens to the angle measures when you change the scale factor r?
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? (Hint: compare the angle measures and ratios of sides)
Are the two triangles similar?