Similarity of figures; properties of similar polygons
Answers are for parents and teachers.
1
Scale 1 : 500. A plan shows a rectangle 8 cm by 6 cm. What is its real area (m²)?
1200
2
Similar polygons have perimeters 24 and 60. If the larger has area 175, what is the smaller's area?
28
3
Find the ratio of corresponding sides of similar polygons with areas 25 cm² and 100 cm².
1 : 2
4
A triangle goes through a similarity with k = 4. What does a perimeter of 9 become?
36
5
Why do parallel lines stay parallel under a similarity transformation?
A similarity sends different points to different points. Parallel lines have no common point, so the lines they map to have no common point either.