Exploring Transformations in 8th Grade Math

Mr. Kosinski explains transformations in geometry, focusing on sequences involving reflections, rotations, and translations. He provides examples of how to transform figures using these methods, emphasizing the importance of understanding the sequence of transformations. The video includes practical demonstrations and encourages students to practice these skills on IXL.

What are the primary transformations discussed in this tutorial?

• Dilation, Translation, and Rotation

• Reflection, Rotation, and Translation

• Translation, Reflection, and Shearing

• Scaling, Shearing, and Reflection

How is Figure 1 transformed into Figure 2?

• By dilation

• By rotation

• By translation

• By reflection

What transformation follows the reflection to achieve Figure 3 from Figure 2?

• A translation

• A rotation

• Another reflection

• Scaling

What is the center of rotation when transforming Figure 1 into Figure 2 in the second example?

• The midpoint of the figure

• A point outside the figure

• The origin of the coordinate system

• A vertex of the figure

Which transformation is NOT used in the sequence to transform Figure 1 into Figure 3 in the third example?

• Dilation

• Translation

• Rotation

• Reflection

In the final example, what is the initial transformation from Figure 1 to Figure 2?

• A rotation

• A dilation

• A reflection over a diagonal line

• A translation

What transformation is applied after the initial reflection in the last example?

• Scaling

• Another reflection

• A rotation

• A translation

Which line is used for reflection in the transformation sequences?

• All of the above

• A vertical line

• A horizontal line

• A diagonal line

What is the result of reflecting a figure over a line?

• The figure rotates around the line

• The figure expands or contracts

• The figure flips over the line

• The figure moves parallel to the line

How can you determine the center of rotation in a transformation?

• By finding the line of symmetry

• It is always the origin

• By tracing the arc of a point on the figure

• It is the midpoint of the figure