Triangle Transformations and Matrix Operations

The video tutorial explains how to graph a triangle on a coordinate plane and organize its points into a Vertex Matrix. It demonstrates using matrix multiplication to rotate the triangle around a center point. The tutorial specifically shows how to rotate triangle ABC 90° counterclockwise, resulting in a new set of coordinates for the triangle.

What are the coordinates of the points that make up the triangle on the coordinate plane?

• (17, 1), (2, 6), (2, 0)

• (17, 1), (2, 1), (6, 2)

• (1, 7), (1, 2), (6, 2)

• (17, 2), (1, 6), (2, 2)

What is the purpose of organizing points into a Vertex Matrix?

• To find the midpoint of the triangle

• To facilitate transformations like rotation

• To simplify the calculation of area

• To change the shape of the triangle

What mathematical operation is used to rotate a figure on a coordinate plane?

• Matrix multiplication

• Addition

• Division

• Subtraction

What does rotating a figure around a center point involve?

• Stretching it

• Flipping it over an axis

• Moving it around a fixed point

• Changing its size

Which matrices can be used to rotate a figure counterclockwise?

• 45°, 135°, 225°

• 30°, 150°, 210°

• 60°, 120°, 240°

• 90°, 180°, 270°

What is the result of multiplying the original vertex matrix by the 90° counterclockwise matrix?

• A new matrix with points (-7, -1), (-2, -1), (-2, -6)

• A new matrix with points (7, 1), (2, 1), (2, 6)

• A new matrix with points (-7, 1), (-2, 1), (-2, 6)

• A new matrix with points (7, -1), (2, -1), (2, -6)

What is the significance of the red triangle in the plot?

• It represents the original triangle

• It shows the triangle after a 90° clockwise rotation

• It is the triangle after a 90° counterclockwise rotation

• It is a reflection of the original triangle