Describing Transformations for Congruent Figures

The video tutorial explains how to demonstrate that two two-dimensional figures are congruent using transformations. It covers the concepts of rotation, reflection, and translation, excluding dilation as it pertains to similar figures. The tutorial provides two examples: the first uses reflection over the y-axis followed by a translation, and the second involves a 90-degree counterclockwise rotation followed by a translation. The video emphasizes understanding the orientation and position of points to determine the appropriate transformations.

Which transformation is not needed when dealing with congruent figures?

• Dilation

• Translation

• Reflection

• Rotation

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

What is the first step in transforming the initial figure to the prime figure in the first example?

• Reflection over the x-axis

• Rotation 90 degrees

• Reflection over the y-axis

• Translation up and right

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

After reflecting the figure over the y-axis, what is the next transformation needed in the first example?

• Reflection over the x-axis

• Translation up and right

• Rotation 90 degrees

• Translation down and left

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

In the second example, what indicates that a rotation might be necessary?

• The figures are already aligned

• The figures are different sizes

• The orientation of points A and B

• The figures are the same size

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What is the degree of rotation used in the second example?

• 360 degrees

• 180 degrees

• 90 degrees

• 45 degrees

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

After rotating the figure 90 degrees counterclockwise, what is the next transformation needed?

• Reflection over the x-axis

• Reflection over the y-axis

• Translation down and right

• Translation up and left

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What is the translation vector used after the 90-degree rotation in the second example?

• x - 5, y + 1

• x - 1, y + 5

• x + 1, y - 5

• x + 5, y - 1

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Which transformation is used to align the figures after the initial rotation in the second example?

• Translation

• Reflection over the y-axis

• Dilation

• Reflection over the x-axis

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What is the purpose of using a straightedge in the transformations?

• To mark points

• To measure angles

• To draw circles

• To ensure accuracy

What is the final step in showing congruence between two figures?

• Dilation

• Translation

• Reflection

• Rotation

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6