Graphing Polygons on the Coordinate Plane

What is the area of the square?

• 111 square units

• 231 square units

• 361 square units

• 456 square units

Sarah proved that this is a square. The slopes of -2/5 and 5/2 made her able to do this. How come?

• Because those slopes form parallel lines.

• Because those slopes form perpendicular lines, creating right angles.

• Because those slopes make the sides congruent.

What is the area of the figure plotted on the coordinate grid?

• 26 units2

• 35 units2

• 40 units2

• 48 units2

What is the area of the triangle below?

• 2 square units

• 2.5 square units

• 3 square units

• 3.5 square units

What is the area of the quadrilateral?

• 10 sq. units

• 6 sq. units

• 8 sq. units

• 12 sq. units

Jerry needs to add point D to the coordinate plane to finish his rectangle. Which coordinates for point D would make the figure a rectangle?

• (1, -2)

• (3, 1)

• (-3, -1)

• (-3, -2)

An unknown quadrilateral has these points:

A(0,-3)

B(6,-3)

C(9,1)

D(3,1)

Based on your discoveries about the slopes of the sides, can this shape be a rectangle?

• Yes

• No

Line segment CD is translated left 5 units and down 1 unit to form line segment C'D'. What is the distance between point C' and point D'?

• 3 units

• 4 units

• 5 units

• 6 units

Square CATS has coordinates C(-4,-6), A(8,-2), T(4,10), S(-8,6). What is the length of a side of the square? Write only the number, no units. Round to the nearest tenths place.

The points on the coordinate plane are ( -6,4 ), ( -2,4 ), ( -6,-1 ), ( -2,-1 ). What is the height of the rectangle?

• Height-10 units

• Height-5 units

• Height-7 units

• Height-9 units