Question

determine whether ( overline{bd} ) and ( overline{df} ) are congruent. select yes or no.

Explanation:

Step1: Calculate the length of \( \overline{BD}\)

The coordinate of \( B\) is \(-6\) and the coordinate of \( D\) is \(2\).
Using the distance formula \(d = |x_2 - x_1|\), we have \(|2-(-6)|=|2 + 6|=8\).

Step2: Calculate the length of \( \overline{DF}\)

The coordinate of \( D\) is \(2\) and the coordinate of \( F\) is \(10\).
Using the distance formula \(d = |x_2 - x_1|\), we have \(|10 - 2|=8\).

Answer:

yes