Question

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Answer 1

Answer:

Rhombus

Step-by-step explanation:

Sketching out the shape shows us that it is neither a square nor rectangle (alternatively, we could tell from the points since if it was a rectangle/square, there would be two sets of x co-ordinate values and y-co-ordinate values only).

Find the length of MN:

MN²=(Yn-Ym)²+(Xn=Xm)²

MN²=(4-1)²+(3-1)²

MN²=3²+2²

MN²=9+4

MN=√13

Find the length of MP:

MP²=(Yp-Ym)²+(Xp-Xm)²

MP²=(3-1)²+(4-1)²

MP²=2²+3²

MP²=4+9

MP=√13

Since the side lengths are equal, the shape must be a rhombus.

Answer 2

Parallelogram

draw the coordinates on a graph