Coordinate Plane Proofs

Which of the following statements would show that ABCD is a rhombus? SELECT TWO ANSWER CHOICES!

• ABCD is a parallelogram

  AND
  

  The slope of AD is 4/3 and the slope of CD is 0.

• ABCD is a parallelogram

  AND

  The diagonals AC and BD both have the same length

• ABCD is a parallelogram

  AND

  AD and DC (or all sides) have the same length of 10

• ABCD is a parallelogram

  AND

  The diagonals AC and BD have negative reciprocal slopes of 1/2 and -2, respectively.

Tags

CCSS.HSG.C.A.3

• Find the slope of 2 sides.

• Find the slope of all 4 sides.

• Find the slope of the diagonals.

• Find the length of all 4 sides.

• Find the slope of all 4 sides.

• Find the midpoint of all 4 sides.

• Find the length of all 4 sides.

• Find the length of 2 sides.

Tags

CCSS.HSG.CO.B.7

• 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

• 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.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

• Find the length of 2 consecutive sides

• Find the slope of two consecutive sides

• Find the length of all 4 sides

• Find the length of two opposite sides

Tags

CCSS.HSG.CO.C.11

• AB = CD

• AB = CD and BC = AD

• mCD ∙ mBC = -1

• mAB = mCD

Tags

CCSS.HSG.CO.C.11

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.HSG.CO.C.11