use betweenness of points to answer this question.

Question

Is point O between points L and P? Given: points O, L, and P are collinear. Also, mLO =3 mOP =2 and mLP =5

Answer 1

To determine whether point O is between points L and P, we need to use the concept of collinearity and the segments formed by the points.

Given the information:

• Points O, L, and P are collinear.
• The measure \( mLO = 3 \)
• The measure \( mOP = 2 \)
• The measure \( mLP = 5 \)

We can analyze the placement of points on a line segment:

1. If point O is between points L and P, the lengths of the segments should satisfy the following relationship: \[ mLP = mLO + mOP \]

2. Plug in the given values: \[ mLP = 5, \quad mLO = 3, \quad mOP = 2 \]

3. Check the calculation: \[ mLO + mOP = 3 + 2 = 5 \]

Since \( mLP = mLO + mOP \) holds true, this confirms that point O is indeed between points L and P.

Therefore, point O is between points L and P.