Similarity of polygons and triangles
Answers are for parents and teachers.
1
A triangle has sides 6, 8, 10 cm. A similar triangle has perimeter 60 cm. How long is its longest side (cm)?
25
2
Similar triangles have areas 12 cm² and 108 cm². A side of the smaller is 5 cm. How long is the corresponding side of the larger (cm)?
15
3
The corresponding heights of two similar triangles are 4 cm and 10 cm. Find the ratio of their areas.
4 : 25
4
In triangle ABC the midline MN is parallel to BC. Find S(AMN) : S(ABC).
1 : 4
5
Why are two quadrilaterals with equal angles not always similar?
Their sides may not be proportional, for example 1 × 2 and 1 × 3 rectangles.