Question

Vincent wrote an example of a proportion on the board.

Evaluate Vincent’s proportion to determine if it is correct. Explain your reasoning.

Answer 1

This proportion is not correct because the two parts in the top (numerator)need to either both say base, or both say height.

If both tops said base, then both originals would be on the left, and both reductions would be on the right.

The way to look at this would be to make sure both units on the top, on the left, AND on the right had a similarity.

EXAMPLE:

Base original/base reduction and height original/height reduction

Or

Base original/height original and base reduction/height reduction

Answer 2

The proportion is defined as the mathematical compression between two number.

The Vincent proportion is incorrect.

Given:

The given Proportion is,

$\rm \frac{base\:original}{height\:original}=\frac{height\: reduction}{base\: reduction}$

As per the proportion definition if the two given number sets increasing or decreasing in same ratio then the ratio will be directly proportion to each other.

The given proportion is incorrect because two parts numerator both say base or height.

The correct proportion would be as follows.

$\rm \frac{base\:original}{height\:original}=\frac{base\: reduction}{heigt\: reduction}$

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