☰ Contents · Geometry

Homothety and constructing similar polygons

Lessons 20–21 · 2 lessons · B. Xaydarov, E. Sariqov, A. Qo‘chqorov. Geometry, Grade 9 (textbook for general secondary schools), revised 4th edition. Huquq va Jamiyat Publishing, Tashkent, 2019
Answers are for parents and teachers.
1
The centre is the origin and k = 2. What is the y-coordinate of the image of D(−4; 3)?
2
A triangle has sides 3, 5, 6. What is the perimeter of its image under a homothety with k = 4?
3
Under a homothety a square's area changes from 16 cm² to 4 cm². What is k?
4
OA = 9 cm and OA₁ = 3 cm. Find the coefficient of the homothety.
5
Why are corresponding sides of homothetic triangles parallel?