Solving Problems in Coordinate Plane

What is the length of the base of the parallelogram QP (horizontal side) as shown in the coordinate plane?

• 16 units

• 17 units

• 1 units

• 10 units

Tags

CCSS.6.G.A.3

What is the area of the triangle with vertices at A(-1, 2), B(4, 6), and C(4, 1) in the coordinate plane?

• 17.5 square units

• 35 square units

• 7 square units

• 14 square units

Tags

CCSS.HSG.GPE.B.7

According to the sample problem, what is the vertical distance from R to Q in the parallelogram?

• 8 units

• 17 units

• 9 units

• 5 units

Tags

CCSS.HSG.CO.C.11

How can you find the height of the parallelogram on the coordinate plane?

• By finding the vertical distance between any two opposite vertices.

• By using the horizontal side length.

• By calculating the area and dividing by the base length.

• By using the vertical distance between the horizontal sides of the parallelogram.

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