Finding the Area of a Triangle on a Coordinate Plane

This video tutorial explains how to find the area of a triangle on a coordinate plane. It begins by identifying the vertices of the triangle and recording their coordinates. The tutorial then introduces a formula for calculating the area, which involves using the x and y coordinates of the vertices. The process is demonstrated step-by-step, including handling negative results by taking the absolute value. The tutorial concludes with a final calculation, showing that the area of the triangle is 10 square units.

What is the main challenge when finding the area of a triangle on a coordinate plane?

• The triangle is always a right triangle.

• The triangle is always equilateral.

• The triangle may not have a right angle.

• The triangle is always isosceles.

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CCSS.HSG.GPE.B.7

What is the first step in finding the area of a triangle on a coordinate plane?

• Find the midpoint of each side.

• Draw an altitude from one vertex.

• Calculate the perimeter of the triangle.

• Identify and write down the coordinates of the vertices.

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CCSS.5.G.A.1

What are the coordinates of vertex A in the example?

• (4, 2)

• (6, 6)

• (10, 4)

• (2, 4)

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CCSS.HSG.GPE.B.7

Which coordinates are used in the formula to find the area of a triangle?

• The coordinates of the centroid.

• Both the x and y coordinates of the vertices.

• Only the y-coordinates of the vertices.

• Only the x-coordinates of the vertices.

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CCSS.3.MD.C.7B

CCSS.4.MD.A.3

In the formula, what is subtracted from the y-coordinate of vertex B?

• The x-coordinate of vertex C.

• The y-coordinate of vertex A.

• The y-coordinate of vertex C.

• The x-coordinate of vertex A.

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CCSS.3.MD.C.7B

CCSS.4.MD.A.3

What operation is performed after calculating the sum in the area formula?

• Subtract five.

• Add ten.

• Divide by two.

• Multiply by three.

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CCSS.3.MD.C.7B

CCSS.4.MD.A.3

Why is the absolute value used in the final step of the area calculation?

• To ensure the area is a whole number.

• To convert the area to square units.

• To make the area positive, as it cannot be negative.

• To simplify the calculation.

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CCSS.6.NS.C.7C

What is the result of the calculation before taking the absolute value?

• 20

• -20

• 10

• -10

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CCSS.6.G.A.1

What is the final area of the triangle in the example?

• 5 square units

• 10 square units

• 20 square units

• 15 square units

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CCSS.6.G.A.3

What is the purpose of using a coordinate system in this context?

• To find the length of the sides.

• To determine the type of triangle.

• To easily calculate the area of any triangle.

• To find the perimeter of the triangle.

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CCSS.6.G.A.3