Area and Properties of Squares and Triangles

The video tutorial focuses on Investigation 2, where students learn to plot points to form a triangle and calculate its area using a square and right triangles. It also covers finding the side length of a triangle using slopes and squares.

What is the main focus of Investigation 2?

• Measuring the volume of a cube

• Finding the area of a rectangle

• Calculating the perimeter of a circle

• Determining the area of a triangle and the length of one of its sides

Where is point A located on the coordinate plane?

• (2, -2)

• (-2, 2)

• (-1, -2)

• (2, 1)

What is the purpose of drawing additional grid lines around the triangle?

• To make the triangle larger

• To form a square around the triangle

• To find the perimeter of the triangle

• To change the shape of the triangle

What is the area of the square formed around the triangle?

• 12 units

• 16 units

• 24 units

• 20 units

What is the area of the top right triangle within the square?

• 4 units

• 2 units

• 5 units

• 3 units

What is the area of the bottom right triangle within the square?

• 4 units

• 3 units

• 2 units

• 5 units

What is the area of the side right triangle within the square?

• 1 unit

• 4 units

• 2 units

• 3 units

How is the total area of the triangle determined?

• By dividing the area of the square by the number of triangles

• By subtracting the areas of the right triangles from the square

• By adding the areas of the right triangles

• By multiplying the areas of the right triangles

What is the total area of the triangle after subtracting the areas of the right triangles?

• 8 units squared

• 5 units squared

• 6 units squared

• 7 units squared

What is the slope of line AB?

• 4

• -4

• 1/4

• -1/4