Classify Quadrilateral in the Coordinate Plane

Given ABCD... A(-6, 1) B(-4, 3) C(-2, 3) D(-6, -1) Name the quadrilateral

• Kite

• Isosceles Trapezoid

• Parallelogram

• Rhombus

• Quadrilateral

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.

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

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

• True

• False

Which could prove that this is a parallelogram?

• Consecutive sides have opposite reciprocal slopes

• Opposite sides have the same slope

• All sides have the same length

• Diagonals have the same length

Classify the quadrilateral:

K(5, -3), L(7, 1), M(9, -3), N(7, -7)

• Parallelogram

• Rectangle

• Square

• Rhombus

• Did not complete this problem.

Determine the quadrilateral's most specific classification using the distance formula:

A(-5, 8), B(-2, 14), C(12, 7), D(9, 1)

• Parallelogram

• Rectangle

• Rhombus

• Square

I have 4 congruent sides, and my diagonals are congruent. What's my most specific classification?

• Rectangle

• Parallelogram

• Rhombus

• Square

classify the quadrilateral

• Parallelogram

• rhombus

• rectangle

• square