Parallelograms on the Coordinate Plane

If you think this shape is a parallelogram, which of the following could prove it?

• Opposite Sides are congruent

• Opposite sides are parallel

• Diagonals are congruent

• Diagonals bisect each other

• Diagonals are perpendicular

Tags

CCSS.HSG.CO.C.11

If you think this shape is specifically a rhombus, which of the following could prove it?

• All sides are congruent

• Opposite sides are parallel

• Diagonals are congruent

• Diagonals bisect each other

• Diagonals are perpendicular

Tags

CCSS.HSG.CO.C.11

If you think this shape is specifically a rectangle, which of the following could prove it? (Not a parallelogram, just a rectangle.)

• All sides are congruent

• Opposite sides are parallel

• Diagonals are congruent

• Diagonals bisect each other

• Sides are perpendicular

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.CO.C.11

Which could tell you that this is a parallelogram?

• Opposite angles are supplementary

• Consecutive angles are supplementary

• Opposite sides are parallel

• Diagonals bisect each other

• This is not a parallelogram

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.CO.C.11

Which do you NOT need to prove that something is SPECIFICALLY a rectangle?

• Diagonals bisect

• Diagonals are congruent

• Diagonals are perpendicular

• Consecutive sides are perpendicular.

Tags

CCSS.HSG.CO.C.11

Which could help you to prove that a shape is a square? (Any property!)

• All sides are congruent

• Opposite sides are parallel

• Diagonals are congruent

• Diagonals bisect each other

• Diagonals are perpendicular

Tags

CCSS.HSG.CO.C.11

Based on the following information, what quadrilateral is in the picture?
AB=13, BC=7.8, AD=7.8, DC=13
DB=16.55, AC=13
Slope of DB=  $-\frac{7}{11}$  and Slope of AC= $\frac{7}{15}$  

• Parallelogram

• Square

• Rectangle

• Rhombus

Tags

CCSS.HSG.GPE.B.4

CCSS.HSG.GPE.B.5