Answer:
<em>Part a) The </em><em>figure</em><em> a shows that </em><em>AB is parallel to PR</em><em>. Please see attached </em><em>figure a.</em>
<em>Part b) The length of AB is half the length of PR</em>
Step-by-step explanation:
Part A)
Let M be the midpoint formula between points A(x₁, y₁) and B(x₂, y₂)

Let A be the midpoint of P(-3, -1) and Q(-1, 7)
The coordinates of the midpoint of P(-3, -1) and Q(-1, 7):


Let B be the midpoint of Q(-1, 7) and R(3, 3):


The <em>figure</em> a shows that <em>AB is parallel to PR</em>. Please see attached <em>figure a</em>.
Part B)
The point A has the coordinates: A(-2, 3)
The point B has the coordinates: B(1, 5)
The distance formula is: 
So, the length of AB 
= 
= 
= 
And, the length of PR 
= 
= 
= 
= = 
As the length of AB = 3.6056 and the length of PR = 7.2111
<em>So, it is clear that the length of AB is half the length of PR.</em>
<em>Keywords: distance formula, midpoints, triangle, coordinate plane</em>
<em>Learn more about midpoints from brainly.com/question/7560674</em>
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