3. Use the coordinate plane, the figure below, coordinate proof strategies, and the lengths and slopes of and to verify this theorem:
Given: QUAD is a quadrilateral.
P, G, R, M are the midpoints of the sides
Prove: The polygon formed by joining adjacent midpoints of a quadrilateral is a parallelogram.

Question

3.	Use the coordinate plane, the figure below, coordinate proof strategies, and the lengths and slopes of   and   to verify this theorem:
Given:	QUAD is a quadrilateral.
	P, G, R, M are the midpoints of the sides  
Prove:	The polygon formed by joining adjacent midpoints of a quadrilateral is a parallelogram.

anonymous · Answer

attachment

anonymous · Answer

@amistre64

amistre64 · Answer

whats our definition of a parallelogram?

anonymous · Answer

its when a shape like a square has all parallel sides?

amistre64 · Answer

all parallel sides is not realistic.  2 sides that are parallel is realistic

is a trapeziod a parallelagram?

anonymous · Answer

no?...im sorry im not good at this

amistre64 · Answer

i dont know your courses definitions, so this is why i ask.

assuming a parallalegram REQUIRES 2 pairs of parallel sides.

how do we determine if 2 lines are parallel?  what do they have in common?

anonymous · Answer

they bothe stay going in the same direction never touching no matter how far they go