Transformations and Congruent Figures in N-Gen Math 8

This video lesson by Kirk Weiler covers transformations and congruent figures, focusing on rigid motions such as reflections, rotations, and translations. Through exercises, students learn to map triangles using these transformations, identify sequences of transformations, and understand the relationship between congruent figures and rigid motions. The lesson concludes with a summary of key concepts.

What are the three types of rigid motions discussed in the video?

• Rotations, Dilations, and Translations

• Translations, Dilations, and Reflections

• Reflections, Rotations, and Translations

• Reflections, Rotations, and Dilations

Which rigid motion would map a triangle onto itself without changing its orientation?

• Translation

• Rotation

• Reflection

• Dilation

What is the result of a 180-degree rotation about the origin?

• The figure is reflected across the y-axis

• The figure is translated to a new position

• The figure is reflected across the x-axis

• The figure is rotated to the opposite side of the origin

What is the most specific way to describe a reflection that maps a triangle across the x-axis?

• A reflection

• A rotation

• A reflection across the y-axis

• A reflection across the x-axis

How can you determine if a transformation involves a reflection?

• By checking if the figure is rotated

• By checking if the figure is dilated

• By checking if the alphabetical orientation of the vertices is reversed

• By checking if the figure is translated

Which transformation involves sliding a figure without rotating or flipping it?

• Dilation

• Rotation

• Translation

• Reflection

How can you describe a translation that moves a figure 7 units to the right and 9 units up?

• Translate 7 units down and 9 units left

• Translate 7 units left and 9 units down

• Translate 7 units right and 9 units up

• Translate 7 units up and 9 units right

What happens to the orientation of a figure after a reflection?

• It is reversed

• It is rotated

• It is translated

• It remains the same

If a triangle is rotated 90 degrees counterclockwise about the origin, what happens to its coordinates?

• The y-coordinates are negated

• The x-coordinates are negated

• The x-coordinates and y-coordinates are swapped and the new x-coordinates are negated

• The x-coordinates and y-coordinates are swapped and the new y-coordinates are negated

What is the relationship between rigid motions and congruent figures?

• Rigid motions map congruent figures onto each other

• Rigid motions create non-congruent figures

• Rigid motions change the shape of figures

• Rigid motions change the size of figures