Question

Use a coordinate proof to prove that mid segment MN of triangle PQR is parallel to PR and half the length of PR. Which is the first best step?
A. Place the triangle on a coordinate grid such that vertex P is at the origin, and PR lies on x-axis.


B. place the triangle on a coordinate grid such that vertex P is on y-axis and vertex R us on the x-axis


C. Place the triangle on a coordinate grid such that vertex Q is at the origin


D. Place the triangle on a coordinate grid such that QR lies on the x-axis and PQ lies in the y-axis

Answer 1

Answer:

D. Place the triangle on a coordinate grid such that QR lies on the x-axis and PQ lies in the y-axis

Step-by-step explanation:

A midsegment of the triangle is the line segment the connects the midpoints of two sides of the triangle. This midsegmet is parallel to the base.

Constructing a triangle with two sides over the x-axis and y-axis respectively makes it easier to verify that the midsegment is half the base.

So, it's D. The best option.