Coordinate geometry

The coordinates of the vertices of parallelogram ABCD are A(-3,2), B(-2,-1), C(4,1), and D(3,4). The slopes of which line segments could be calculated to show that ABCD is a rectangle?

HINT: GRAPH THE PARALLELOGRAM FIRST!!!!

Plot the following points:

(-5,2) (-5,-3) (-2,2) (-2,-3)

What is the perimeter?

• 10

• 8

• 15

• 16

What is the area of the parallelogram?
Hint: Use the coordinate grids to figure out the base and height.
A =  $b\cdot h$  

• 6 units

• 6 square units

• 5 units

• 5 square units

A rectangle has an area of 12 square units. Two vertices of the rectangle are shown below.

Which pair of coordinates could represent the other two vertices?

• (4, 2) and (4, 5)

• (5, 2) and (5, 5)

• (6, 2) and (6, 5)

• (9, 2) and (9, 5)

What is the area of the shape?

• 35 units squared

• 
  not enough information

• 
  24 units squared

• 
  22 units squared

Based on the information given, is this shape a rectangle?

• Yes

• No

_{Find the area}

• 4 units
• 6 units
• 24 units
• 28 units

Find the area of kite QRST in square units.

• 30

• 15

• 60

• 20

A grid overlay is placed over a kite, as shown at the left. Based upon the grid, find the area of the kite.

• 26 sq. units

• 38 sq. units

• 52 sq. units

• 76 sq. units

Based on the answer to the last question, Is EFGH a parallelogram?

• yes

• no