Applications of similarity and review
Answers are for parents and teachers.
1
AD is the bisector, AB = 10, AC = 15, BC = 20. Find BD and DC.
BD = 8, DC = 12
2
A building casts a 24 m shadow and a 1.5 m stick casts a 2 m shadow. How tall is the building?
18 m
3
A trapezoid has bases 8 and 12 and a diagonal of 30. Find the two pieces of the diagonal.
12 and 18
4
Similar triangles have areas 9 cm² and 144 cm². A 2 cm side of the smaller matches what side of the larger (cm)?
8
5
Why are the triangles formed by the diagonals of a trapezoid similar?
Because the bases are parallel, alternate angles are equal, and the vertical angles are equal too.