Quadrilaterals Coordinate Plane

Given ABCD... A(-4, 1) B(-2, 4) C(0, 1) D(-2, -2) Name the quadrilateral

• Rectangle

• Isosceles Trapezoid

• Rhombus

• Kite

• Quadrilateral

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.

Given ABCD... A(2, 2) B(3, 4) C(5, 3) D(4, 1) Name the quadrilateral

• Square

• Rhombus

• Kite

• Trapezoid

• Quadrilateral

The figure is a parallelogram.  
Solve for x.  

• 1

• 11

• 7

• 6

• 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.

• 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.

What is the most specific name for this shape?

• Square

• Rectangle

• Rhombus

• Parallelogram

Prove the shape is a trapezoid.

• The slope of the parallel bases is 4/3

• The slope of the parallel bases is -4/3

• It is not a trapezoid because the slopes do not match.

• It is not a trapezoid because the legs are not parallel.

How would you prove a quadrilateral is a rhombus using distance formula?

• Prove diagonals are perpendicular

• Prove there are 4 congruent sides

• Prove opposite sides are parallel

• Prove there are 4 right angles