Question

Kiesha and her classmates wrote proportions for the reduction of a triangle. Which proportions are set up correctly? Select three options.

A) Original height > reduction height
B) Original base > reduction base
C) Original height < reduction height
D) Oiginal base < reduction base

Answer 1

The proportions that are set up correctly for the reduction of a triangle are: Original height > reduction height, Original base > reduction base, and Original height < reduction height.

Step-by-step explanation:

1. Original height > reduction height: This proportion is set up correctly because the original height of a triangle is always greater than the reduction height. For example, if the original height is 8 cm and the reduction height is 4 cm, the proportion would be 8 > 4.
2. Original base > reduction base: This proportion is also set up correctly because the original base of a triangle is always greater than the reduction base. For instance, if the original base is 12 cm and the reduction base is 6 cm, the proportion would be 12 > 6.
3. Original height < reduction height: This proportion is set up incorrectly because the original height of a triangle is not smaller than the reduction height. The correct inequality would be original height > reduction height.