Coordinate Proof Geometry

Given ABCD is a parallelogram, what are the coordinates of point C?

• (3c,b)

• (a+c,b)

• (2a-c,b)

• (a+2c,b)

Tags

CCSS.HSG.GPE.B.6

1

• Find the lengths of the diagonals.

• Find the slope of each diagonal.

• Find the midpoint of each diagonal.

• Find the midpoint of each side.

Tags

CCSS.6.G.A.3

• Find the slope of two consecutive sides.

• Find the slope of all 4 sides.

• Find the slope of the diagonals.

• Find the length of two consecutive sides.

Tags

CCSS.HSG.CO.C.11

• Find the length of all 4 sides.

• Find the length of both diagonals.

• Find the slope of both diagonals

• Find the slope of all 4 sides.

Tags

CCSS.HSG.CO.C.11

N (___, 0)

Tags

CCSS.6.G.A.3

T (a, ___)

• b

• a

• 0

• b/2

Tags

CCSS.HSG.GPE.B.6

T (___, ___)

• (0, 2a)

• (2a, 2a)

• (2a, y)

• (2a, 0)

Tags

CCSS.6.G.A.3

A (0, ___)

Tags

CCSS.6.G.A.3

E (___, ___)

• (-2g, b)

• (-x, 0)

• (-2g, 0)

• (0, 0)

Tags

CCSS.HSG.GPE.B.6

C (___, q)

Tags

CCSS.HSG.GPE.B.6