Triangle Transformations and Vectors

The video tutorial explains how to use a transformation vector to shift a triangle in a coordinate plane. It begins with an introduction to transformation vectors, followed by a detailed explanation of how to apply the vector to each point of the triangle. The tutorial includes step-by-step calculations to find the new coordinates of the transformed points. It also demonstrates graphing both the original and transformed triangles, highlighting that the shape and size remain unchanged. The video concludes with observations on the transformation process.

What is the primary task described in the introduction of the video?

• To find the perimeter of a triangle

• To draw a triangle on a graph

• To transform a triangle using a vector

• To calculate the area of a triangle

What does a transformation vector tell us to do?

• Reflect the triangle

• Rotate the triangle

• Shift the triangle

• Scale the triangle

How do you find the new coordinates of a point after applying a transformation vector?

• Multiply the coordinates by the vector

• Subtract the vector from the coordinates

• Divide the coordinates by the vector

• Add the vector to the coordinates

What is the new coordinate of point M after transformation?

• (6, -1)

• (4, -5)

• (3, -3)

• (2, 0)

What is the new coordinate of point N after transformation?

• (2, 0)

• (5, -8)

• (6, -1)

• (3, -3)

What is the new coordinate of point P after transformation?

• (8, -6)

• (6, -1)

• (2, 0)

• (3, -3)

What remains unchanged after the transformation of the triangle?

• The orientation of the triangle

• The color of the triangle

• The size and shape of the triangle

• The position of the triangle

How many units is the triangle shifted to the left?

• One unit

• Three units

• Two units

• Five units

How many units is the triangle shifted upwards?

• Five units

• Three units

• Two units

• Four units

What is the key takeaway about the transformation of the triangle?

• The triangle changes its shape

• The triangle rotates

• The triangle changes its size

• The triangle retains its size and shape