Proving Quadrilaterals on the Coordinate Plane

The rectangle shown has coordinates (3, 2), (-2, 2), (-2, -1), (3, -1)
What is the length of the longest side of the rectangle?

• 4 units

• 5 units
  5 units

• 6 units

• 8 units

You design a tree house using a coordinate plane. You plot the vertices of the floor at J (2, 1), K (2, 8), L(9, 8), and M (9, 1). The coordinates are measured in feet. What is the area of the tree house?

• 28 feet²

• 49 feet²

• 56 feet²

• 64 feet²

What is the perimeter of the shape?

• 20 units

• 12 units squared

• 22 units

• 32 units squared

Name this shape

• parallelogram

• square

• diamond

• hexagon

Which of the following will be the correct CLAIM?

• ABCD is a square.

• ABCD is a rhombus.

• ABCD is a rectangle.

• ABCD is a

Which of the following will be an accurate ANALYSIS?

• All sides are equal. All right angles.

• All sides are equal. No right angles.

• Opposite sides are equal and parallel. All right angles.

• Opposite sides are equal and parallel. No right angles.

Is this a parallelogram? How do we know?

• yes,opposite sides are congruent

• no we can not prove it is a parallelogram

• yes, one pair of sides are congruent and parallel

• yes, opposite sides are parallel

• yes, diagonals bisect each other

What is the area of the shape?

• 35 units squared

• 24 units squared

• not enough information

• 22 units squared

The vertices of the giraffe exhibit at a Zoo are E(0,90), F(60, 90), G (100,30), and H (0,20). The coordinates are measured in feet. What is the area of the exhibit?

• 72 feet²

• 48 feet²

• 4800 feet²

• 7200 feet²

• 9600 feet²