Problems in the Coordinate Plane

If the y-coordinate of each vertex of the parallelogram increases by 1, how does this affect the area of the parallelogram?

• The area increases by 1.

• The area decreases by 1.

• The area does not change.

• The area doubles.

Tags

CCSS.HSG.CO.A.2

What are the coordinates of point S in the first Model It activity?

• (10, 7)

• (7, 10)

• (10, -7)

• (-7, 10)

Tags

CCSS.6.NS.C.6C

How can you find the area of a parallelogram in the coordinate plane?

• Use the coordinates to find the lengths of horizontal or vertical sides and then use the lengths to find the area.

• Multiply the length of the base by the sum of all the side lengths.

• Add the lengths of all the sides together.

• Use the Pythagorean theorem to find the area.

Tags

CCSS.HSG.GPE.B.7

What is the perimeter of Central Park if on a map of the park the coordinates of the vertices are located at (-1.25, -0.25), (-1.25, 0.25), (1.25, 0.25), and (1.25, -0.25)?

• 5 miles

• 6 miles

• 2.5 miles

• 10 miles

Tags

CCSS.HSG.GPE.B.7

The area of a trapezoid FGHJ is calculated using the vertices at F(2, -3), G(-2, 4), H(6, 4), and J(9, -3). What is the total area of the trapezoid?

• 28 square units

• 38 square units

• 48 square units

• 58 square units

Tags

CCSS.HSG.GPE.B.7

What should students' solutions demonstrate an understanding of when finding the lengths of horizontal and vertical line segments on a coordinate plane?

• The use of a ruler to measure distances

• The calculation of the slope of the line

• The counting of the intervals between points

• The use of a protractor to measure angles

Tags

CCSS.6.G.A.3

What is the perimeter of the rhombus with vertices at F(-2, -2), G(-2, 3), H(2, 3), and I(2, -2)?

• 20 units

• 10 units

• 15 units

• 25 units

Tags

CCSS.HSG.GPE.B.7

How is the area of the trapezoid in the coordinate plane calculated in the example provided?

• By dividing the trapezoid into two triangles and finding the area of each

• By adding the area of a rectangle and a triangle

• By multiplying the base with the height

• By using the Pythagorean theorem

Tags

CCSS.HSG.GPE.B.7

What is the total area of the trapezoid in the coordinate plane as shown in the example?

• 36 square units

• 44 square units

• 56 square units

• 81 square units

Tags

CCSS.HSG.GPE.B.7

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

Tags

CCSS.6.G.A.3