Mixed problems and Chapter I review
Answers are for parents and teachers.
1
In a trapezoid with bases 3 and 6 find the length of the segment through the intersection of the diagonals parallel to the bases.
4
2
Reflect (−3; 2) about the Oy axis and then translate it along (1; 1). What is the result?
(4; 3)
3
DE ∥ AC, DB = 6, BA = 10 and DE = 9. How long is AC?
15
4
A figure of area 20 cm² undergoes a homothety with k = 3/2. Find the new area.
45 cm²
5
Why is the segment through the diagonals' intersection parallel to the bases bisected by that point?
The similar triangles give MO = ab/(a + b) and ON = ab/(a + b).