In this activity, you will study a Cartesian system and show how the distance formula can be used to prove that a point has the same distance as other points in the system.

Step 1. Review

Review the learning resources for this module, especially the distance formula.

Step 2. Analyze

Analyze the Cartesian system below and how can you use the distance formula to show that Point M is the same distance from Point P and Point Q.

Step 3. Respond

Respond by showing all the mathematical steps and citing all properties or theorems you used to enable you to move from step to step as justifications. Put all your work into writing. 

Step 4. Share

To share your work, click on the “Add new discussion topic” button under this post and paste your work in the “Message” box. Make sure to reference others’ intellectual property when necessary. All references should follow 7th Edition APA formatting. For further instructions, see the resource on the Himmelfarb Health Sciences Library: APA citation resource (N.B. references are excluded from word counts).

Step 5: Interact

To complete the activity, you will need to reply to at least two posts made by your peers in a respectful and professional manner. Ensure that your post engages your peers' ideas by including a reflection on their comments, sharing ideas of other potential difficulties and parties involved, or asking thought-provoking questions. If peer comments on your posting, please reply. To post a reply, click “Reply” on a particular discussion, write your feedback and then click on “post to the forum.”

OPTIONAL Step 6: Interact (10 minutes)

If you would like to, you can reply to your peers' posts in a respectful and professional manner. Ensure that your post engages your peers' ideas by including a reflection on their comments, sharing ideas of other potential difficulties and parties involved, or asking thought-provoking questions. If a peer comments on your posting, please reply. To post a reply, click “Reply” on a particular discussion, write your feedback and then click on “Post to forum.”