One of the vértices of triangle PQR is P(3,-2). The midpoint of PQ is M(5,0).The midpoint of QR is N (9,3). Show that MN is parallel to PR and MN = 1/2 PR.

Question

the coordinates of Q are?

The coordinates of R are?

The slope of MN is?

The slope of PR is?

MN=?

PR=?

Answer 1

Don't make this problem harder than it is.

MN is parallel to PQ because MN cuts the 2 side of the triangle into proportionate parts.

That makes triangle MNQ similar to triangle PQR and MN = 1/2 of PR because corresponding parts of similar triangles are in proportion.