Calculating Area and Perimeter on the Coordinate Plane

This video tutorial covers the concepts of perimeter and area in the coordinate plane. It begins with a review of these concepts and introduces the distance formula, which is related to the Pythagorean theorem. The video provides examples of calculating the perimeter and area of geometric shapes, such as triangles and quadrilaterals, using various methods. The tutorial also includes practical exercises and encourages viewers to follow along using a capture sheet.

What is the formula used to calculate the distance between two points in a coordinate plane?

• Distance = (x2 + x1)^2 + (y2 + y1)^2

• Distance = |x2 - x1| + |y2 - y1|

• Distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)

• Distance = (x2 - x1) + (y2 - y1)

For calculating the distance of a vertical or horizontal line in the coordinate plane, you should:

• Estimate the distance visually.

• Count the units directly.

• Apply the Pythagorean theorem.

• Use the distance formula.

Which of the following is a correct application of the Pythagorean theorem?

• A + B = C^2

• A^2 + B^2 = C^2

• A^2 = B^2 + C^2

• A^2 + B^2 = C

How do you calculate the perimeter of a triangle on a coordinate plane?

• Add the lengths of all three sides.

• Multiply the base by the height.

• Divide the sum of all sides by 2.

• Use the Pythagorean theorem on one side.

What is the perimeter of triangle ABC if AB is 10 units, BC is 6.3 units, and AC is 10 units?

• 26.3 units

• 20.3 units

• 30 units

• 16.3 units

What is the area of a triangle with a base of 10 units and a height of 6 units?

• 30 square units

• 16 square units

• 20 square units

• 60 square units

Which method is NOT used to find the area of a triangle in the coordinate plane?

• Subtracting the area of outer right triangles from a rectangle

• Multiplying the lengths of all three sides

• Adding up smaller polygons inside the triangle

• 1/2 base times height

What is the area of quadrilateral ABCD if the sum of the areas of its decomposed triangles is 52 square units?

• 52 square units

• 78 square units

• 26 square units

• 104 square units

How do you find the perimeter of a shape on the coordinate plane?

• Add the lengths of all the sides.

• Multiply the lengths of two adjacent sides.

• Add the area of all sides.

• Divide the total length of all sides by 2.

What strategy is used to find the area of a complex shape without horizontal or vertical sides?

• Estimation

• Direct measurement

• Decomposition into right triangles

• Using a protractor