Question

If point Q is the midpoint of segment AM¯¯¯¯¯¯¯¯¯ , find midpoint Q . (1 point)
Q is located at (1.5,−0.5) . upper B is located at left parenthesis 1.5 comma negative 0.5 right parenthesis . Q is located at (−9,−8) . upper B is located at left parenthesis negative 9 comma negative 8 right parenthesis . Q is located at (−2.5,3.5) . upper B is located at left parenthesis negative 2.5 comma 3.5 right parenthesis . Q is located at (12,7) .

Answer 1

so what is the midpoint of Q?

Answer 2

To find the midpoint \( Q \) of segment \( \overline{AM} \), we can use the midpoint formula. The midpoint \( Q \) of a segment with endpoints \( A(x_1, y_1) \) and \( M(x_2, y_2) \) is given by:

\[
Q\left(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}\right)
\]

From your question, it seems you are also identifying some coordinates for point \( Q \) (midpoints) and point \( B \) with coordinates given. However, it is unclear if these points are endpoints of segment \( AM \) or just isolated values.

If point \( Q \) is at (1.5, -0.5) and we are to consider that point as a valid midpoint (without any further information), then the segment has endpoints \( A \) and \( M \) that can be calculated provided we know one point among them.

If we assume one of the coordinates you provided is meant to represent endpoint \( A \) or \( M \):

1. If \( A = (-9, -8) \), then we can set \( Q \) and solve for \( M \):
\[
(1.5, -0.5) = \left(\frac{-9 + x_2}{2}, \frac{-8 + y_2}{2}\right)
\]
Solving these equations gives:
\[
\frac{-9 + x_2}{2} = 1.5 \quad \Rightarrow \quad -9 + x_2 = 3 \quad \Rightarrow \quad x_2 = 12
\]
\[
\frac{-8 + y_2}{2} = -0.5 \quad \Rightarrow \quad -8 + y_2 = -1 \quad \Rightarrow \quad y_2 = 7
\]
Thus, point \( M \) is \( (12, 7) \), and \( Q \) lies correctly at \( (1.5, -0.5) \).

To summarize, if we confirm the coordinate for the segment \( AM \) that includes \( Q \), we find positions uniquely for \( A \) and \( M \) based on midpoint calculation. This can be repeated for other provided points \( (-2.5, 3.5) \) or any other given combinations.

If you meant for me to find the midpoint of other points listed, please clarify so we could explore other options properly.

Answer 3

The term "midpoint of Q" can be a bit confusing because a midpoint typically references a segment defined by two endpoints. Given that point \( Q \) itself represents a specific point and does not have two distinct endpoints associated with it in your question, we cannot compute a midpoint for a single point.

However, if you are asking for the specific coordinate of point \( Q \) as defined in your original message, here are the midpoints provided:

1. **When \( Q = (1.5, -0.5) \)**, you mentioned this as location of midpoint Q.
2. **When \( Q = (-9, -8) \)**, then \( Q \) is again provided as the coordinates for another context.
3. **When \( Q = (-2.5, 3.5) \)** also includes Q's coordinate.
4. **Finally, \( Q = (12, 7) \)** stated.

If you're looking for the definition of the midpoint of two specific points (i.e. calculating a midpoint but providing new A and M), please provide further instructions, or if you need the overall value amid your listings.

These coordinates you provided are specifically locations of point \( Q \) and are not midpoints in relation to other points unless more clarity is given regarding segments for calculation purposes. Please clarify further if needed!