Quadrilaterals Slope Distance

• Find the slope of any 2 consecutive sides.

• Find the length of all 4 sides.

• Find the slope of all 4 sides.

• Find the midpoint of all 4 sides.

Tags

CCSS.6.G.A.3

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 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

• Find the midpoint of the diagonals.

• Find the length of the diagonals.

• Find the slope of the diagonals.

• Diagonals in a rhombus are not perpendicular, so this is not a good method.

Tags

CCSS.HSG.CO.C.11

How do you show diagonals bisect each other?

• Use the distance formula-they would have the same length

• Use the midpoint formula-they would be the same

• Use the slope formula-they would have opposite reciprocal slopes

• Use the slope formula - they would have the same slope

Tags

CCSS.HSG.CO.C.11

Norman drew three points on a coordinate grid, as shown. If Norman draws a fourth point to form a parallelogram , which point could not be Norman's point ?

• ( 5,5 )

• ( 1,-1 )

• ( -1,3 )

• ( 2, -2 )

Tags

CCSS.6.G.A.3

Which of the coordinates given could be the fourth point used to form a rectangle?

• (3, -6)

• (-3, -6)

• (-6, 3)

• (4, -6)

Tags

CCSS.6.G.A.3

You can prove both pairs of opposite sides are parallel by using the slope formula.

• True

• False

Tags

CCSS.HSG.CO.C.11

Prove that the quadrilateral with vertices at (2,3), (5,7), (8,5), and (5,1) is a parallelogram.

• Calculate the area of the quadrilateral and show that it is equal to zero.

• Calculate the slopes of the opposite sides and show that they are equal.

• Prove that the diagonals bisect each other.

• Show that the opposite angles are equal.

Tags

CCSS.6.G.A.3

Prove that the quadrilateral with vertices at (1,2), (3,6), (7,6), and (5,2) is a rhombus using coordinate proofs.

• All four sides are congruent, so the quadrilateral is a rhombus.

• The opposite angles are equal, so it is a rhombus

• The diagonals are perpendicular, so it is a rhombus

• The sum of the interior angles is 360 degrees, so it is a rhombus

Tags

CCSS.HSG.C.A.3