Introduction to Similarity

If the two angles of one triangle are proportional to the two corresponding angles of another
triangle, then the two triangles are congruent.

• True
• False

If a line passes through two sides of a triangle, dividing them proportionally, then the line is
parallel to the third side.

• True 
• False 

An angle bisector in a triangle divides the opposite side into two segments whose lengths are in
the same ratio as the corresponding adjacent sides. 

• True
• False 

If two triangles are similar, then the corresponding medians are proportional to the corresponding sides.

• True
• False

If  PIE~HOT and HOT~YUM which statement is a valid conclusion

• Angle I ~ Angle Y
• PI = YU
• Triangle PIE ~ Triangle YUM
• angle E ~ angle M

This image shows a stream. What is the distance across the stream?

• 13.3 ft
• .75 ft
• 1.3 ft
• 12 ft

Which condition justifies why all squares are similar?

• Corresponding angles are congruent and all sides are proportional.

• All squares have congruent angles and sides.
• Corresponding angles are congruent, and they each have diagonals.
• Squares have 90 degree angles.

Similar polygons have: (real precise definition)

• Same shape different size
• Different shape different size
• Similar corresponding angles and proportional sides .

• Congruent corresponding angles and proportional sides.

What is the length of BC?

• 14 cm

• 10 cm
• 1.14 cm
• 1.6 cm

What is the perimeter of the larger triangle?

• 6
• 24
• 28
• 16