Rectangle ABCD was dilated to create rectangle A'B'C'D. Triangle A B C D is dilated to form triangle A prime B prime C prime D. Side B C is 3. 8 units. Side A prime B prime is 15 units and side B prime C prime is 9. 5 units. What is AB? 6 units 7. 6 units 9. 5 units 12 units.

Respuesta :

The measure of the side AB is 6 units, the correct option is A.

Given

Rectangle ABCD was dilated to create rectangle A'B'C'D.

Triangle A B C D is dilated to form triangle A prime B prime C prime D.

Side BC is 3.8 units.

Side A prime B prime is 15 units and side B prime C prime is 9.5 units.

What is a rectangle?

A rectangle is a type of quadrilateral that has its parallel sides equal to each other and all four vertices are equal to 90 degrees.

Here A'B'C'D is a dilation of ABCD, then the following relationship must exist:

[tex]\rm A'B' ; \ AB = B'C' ;\ BC\\\\15; AB =9.5 ; \ 3.8\\\\\dfrac{AB}{15}=\dfrac{3.8}{9.5}\\\\AB =\dfrac{3.8 \times 15}{9.5}\\\\ AB =\dfrac{57}{9.5}\\\\AB =6 \ units[/tex]

Hence, the measure of the side AB is 6 units.

To know more about rectangles click the link given below.

https://brainly.com/question/19961478