Question

which of the following statements must be true?
$overline{tm}$ and $overline{jp}$ are congruent.
$overline{tm}$ and $overline{jp}$ are perpendicular.
$overline{tp}$ and $overline{tj}$ are congruent.
$overline{tf}$ and $overline{fm}$ are congruent.

Explanation:

Step1: Recall properties of parallelogram

In a parallelogram, the diagonals bisect each other. Here, \(TMPJ\) is a parallelogram with diagonals \(\overline{TM}\) and \(\overline{JP}\) intersecting at \(F\).

Step2: Apply diagonal - bisection property

Since the diagonals of a parallelogram bisect each other, we have \(TF = FM\) and \(JF=FP\).

Answer:

\(\overline{TF}\) and \(\overline{FM}\) are congruent.