Question

Quadrilateral A has side lengths 2,3,5 and 6. Quadrilateral B has side lengths 4,5, 8 and 10. Could one of the quadrilaterals be a scaled copy of one another

Answer 1

Answer:

No

Step-by-step explanation:

Given

Quadrilateral A: 2,3,5 and 6

Quadrilateral B: 4,5, 8 and 10

Required

Determine if one is a scale of another

To do that, we have to divide the corresponding lengths to give ratio.

Considering Side of A = 2 and Side of B = 4

$Ratio = \frac{B}{A}$

$Ratio = \frac{4}{2}$

$Ratio = 2$

Considering Side of A = 3 and Side of B = 5

$Ratio = \frac{B}{A}$

$Ratio = \frac{5}{3}$

$Ratio = 1.67$

There's no need to check further, since the two ratios calculated so far do not have the same value;

Hence, one quadrilateral is not a scale of the other