Exploring Rigid Transformations with Desmos

The video tutorial demonstrates how to solve a geometry problem using Desmos. It involves graphing a triangle on a coordinate grid and applying a transformation rule to reflect the triangle over the y-axis. The tutorial guides the viewer through setting up the graph, using the polygon function, and identifying the correct transformed image. The process is interactive and uses Desmos to visualize the transformation and verify the solution.

What transformation rule is applied to triangle HJK?

• X, Y goes to X, Y

• X, Y goes to -X, -Y

• X, Y goes to X, -Y

• X, Y goes to -X, Y

What initial step is taken in Desmos to start the transformation process?

• Selecting the polygon tool

• Adding a new graph

• Creating a table

• Inputting the transformation rule

What tool is used to input and visualize the coordinates of triangle HJK?

• Table tool

• Coordinate plotter

• Function grapher

• Polygon tool

What geometric shape is used to represent the coordinates in Desmos?

• Circle

• Polygon

• Square

• Triangle

Which function in Desmos allows for the visualization of shapes like triangles?

• Polygon function

• Curve fitting tool

• Scatter plot

• Line plotter

What is the effect of applying the transformation rule to the X coordinate?

• It is multiplied by -1

• It remains unchanged

• It is multiplied by 1

• It is divided by -1

How does the transformation affect the triangle's orientation?

• It rotates the triangle

• It reflects the triangle over the Y-axis

• It moves the triangle to a new position

• It enlarges the triangle

What does the negative sign in front of X in the transformation rule indicate?

• Multiplication of X values by -1

• Inversion of the X-axis values

• No change to the X values

• Reflection over the X-axis

Which graph represents the image of the transformed triangle?

• Graph B

• Graph A

• Graph C

• Graph D

After applying the transformation, where is the new triangle located relative to the original?

• To the right

• To the left

• Above

• Below