Question 15
Triangles and QuadrilateralsThe ratio of the areas of similar triangles is necessarily equal to
- A.the ratio of the corresponding sides
- B.the ratio of the squares on corresponding sides
- C.the ratio of the corresponding heights of the triangles
- D.half the ratio of the corresponding heights of the triangles
- E.the ratio of the corresponding bases to the heights of the triangles.
Show the answer and explanation
Answer: B (the ratio of the squares on corresponding sides)
Explanation
If the sides are in the ratio k, every length scales by k and areas scale by k², the ratio of the squares on corresponding sides.