Question

Quadrilateral ABCD is reflected across line m to create quadrilateral A' B' C'D'.

Answer 1

The length of segment BC is;

`41\text{ units}`

Step-by-step explanation:

Given the figure in the attached image.

Quadrilateral ABCD is reflected across line m to create quadrilateral A'B'C'D'

Since the Quadrilateral was only reflected, the resulting image quadrilateral must be congruent.

So;

`\text{ABCD}\cong A^(\prime)B^(\prime)C^(\prime)D^(\prime)`

Since the two quadrilaterals are congruent, then the corresponding sides of the quadrilaterals will also be congruent.

`BC\cong B^(\prime)C^(\prime)`

Given in the diagram;

`B^(\prime)C^(\prime)=41`

So;

`\begin{gathered} BC=B^(\prime)C^(\prime)=41 \\ BC=41\text{ units} \end{gathered}`

Therefore, the length of segment BC is;

`41\text{ units}`