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McGraw Hill Integrated II, 2012 View details

4. Parallel Lines and Proportional Parts

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Exercise 48 Page 580

Recall the Triangle Midsegment Theorem.

Jacob is correct. Sebastian is not. For explanation see solution.

Practice makes perfect

Let's begin with recalling the Triangle Midsegment Theorem. A midsegment of a triangle is parallel to one side of the triangle, and its length is one half the length of that side. In our exercise we are given that M and P are midpoints of sides HJ and HL. This means that MP is the midsegment of △ JHL and its length is one half of the side JL, which is 9. 1/2* 9=9/2=4.5 The length of MP is 4.5, so Jacob is correct. This means that Sebastian is not correct as MP is one half of JL.