1.3-Midpoi X → C D sd206.org bookmarks Nicki Minaj X Messenger X Supreme Court Cas... Be Facebook X deltamath.com/app/student/solve/17127088/custom1665060425309 New Tab Start over Find the midpoint of points A(-6, 6) and B(2, 10) graphically. You may press submit or click the graph again to replot the midpoint. Remove Rectangle DeltaMath X E Edulastic: F X 5 4 y O 2 3 4 TextNow X M Inbox (18) X b Success C X < ☆ +
1.3-Midpoi X → C D sd206.org bookmarks Nicki Minaj X Messenger X Supreme Court Cas... Be Facebook X deltamath.com/app/student/solve/17127088/custom1665060425309 New Tab Start over Find the midpoint of points A(-6, 6) and B(2, 10) graphically. You may press submit or click the graph again to replot the midpoint. Remove Rectangle DeltaMath X E Edulastic: F X 5 4 y O 2 3 4 TextNow X M Inbox (18) X b Success C X < ☆ +
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
Related questions
Question
![**Title: Finding the Midpoint of Two Points Graphically**
Here’s how you can visually find the midpoint of two points \( A(-6, 6) \) and \( B(2, 10) \).
### Instructions:
1. **Locate Points**:
- Point \( A \) is positioned at \( (-6, 6) \) on the coordinate plane.
- Point \( B \) is positioned at \( (2, 10) \).
2. **Graph Explanation**:
- The graph displays a coordinate grid with both points \( A \) and \( B \) marked.
- A line appears connecting the points \( A \) and \( B \) with a dotted rectangle outlining the vertical and horizontal segments between these points.
3. **Animating the Midpoint**:
- Start by visualizing a right triangle formed from the x and y differences between the points.
- Calculate the midpoint by using the midpoint formula:
\[
\left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)
\]
- In this example, calculate:
\[
x\text{-coordinate}: \frac{-6 + 2}{2} = -2
\]
\[
y\text{-coordinate}: \frac{6 + 10}{2} = 8
\]
4. **Interactive Features**:
- Click "Start over" to reset the graph or replot the midpoint.
- Use the "Remove Rectangle" button to clear the rectangle.
5. **Submit Your Answer**:
- Enter the calculated midpoint coordinates \( (-2, 8) \) in the provided fields.
- Click "Submit Answer" to check your solution.
### Additional Information:
This method helps students grasp the geometric interpretation of finding midpoints, reinforcing the understanding through a visual and interactive approach.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1a79dcac-a3cb-4e2b-a227-03982a48fb50%2F17735b43-c69a-400e-9fa8-e5df12e7df34%2Fmda1ofn_processed.png&w=3840&q=75)
Transcribed Image Text:**Title: Finding the Midpoint of Two Points Graphically**
Here’s how you can visually find the midpoint of two points \( A(-6, 6) \) and \( B(2, 10) \).
### Instructions:
1. **Locate Points**:
- Point \( A \) is positioned at \( (-6, 6) \) on the coordinate plane.
- Point \( B \) is positioned at \( (2, 10) \).
2. **Graph Explanation**:
- The graph displays a coordinate grid with both points \( A \) and \( B \) marked.
- A line appears connecting the points \( A \) and \( B \) with a dotted rectangle outlining the vertical and horizontal segments between these points.
3. **Animating the Midpoint**:
- Start by visualizing a right triangle formed from the x and y differences between the points.
- Calculate the midpoint by using the midpoint formula:
\[
\left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)
\]
- In this example, calculate:
\[
x\text{-coordinate}: \frac{-6 + 2}{2} = -2
\]
\[
y\text{-coordinate}: \frac{6 + 10}{2} = 8
\]
4. **Interactive Features**:
- Click "Start over" to reset the graph or replot the midpoint.
- Use the "Remove Rectangle" button to clear the rectangle.
5. **Submit Your Answer**:
- Enter the calculated midpoint coordinates \( (-2, 8) \) in the provided fields.
- Click "Submit Answer" to check your solution.
### Additional Information:
This method helps students grasp the geometric interpretation of finding midpoints, reinforcing the understanding through a visual and interactive approach.
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