In `DeltaPQR,` `D` is the mid-point of `bar(QR). then bar(PM)` is ___________,`PD` is___________. Is `QM=MR?`

Explanation

To solve the problem step by step, we will analyze the triangle \( \Delta PQR \) where \( D \) is the midpoint of \( \overline{QR} \).

### Step 1: Identify the properties of \( PM \)
Since \( D \) is the midpoint of \( \overline{QR} \), we can conclude that \( PM \) is perpendicular to \( QR \). This means that \( PM \) acts as the height (or altitude) from point \( P \) to line \( QR \).

**Hint:** Remember that the altitude of a triangle is a line segment from a vertex perpendicular to the opposite side.

### Step 2: Identify the properties of \( PD \)
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