Exploring Transformations in Algebra

The video tutorial covers various geometric transformations, including reflections, translations, rotations, and dilations. It explains each transformation's algebraic rules and demonstrates how to apply them to figures on a graph. The tutorial also includes methods for identifying transformations based on given figures.

What happens to the y-coordinate of a point when it is reflected over the x-axis?

• It stays the same.

• It becomes the opposite value.

• It is divided by two.

• It doubles.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

In a reflection over the y-axis, what happens to the x-coordinate of a point?

• It becomes the opposite value.

• It stays the same.

• It doubles.

• It is divided by two.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

When translating a figure 2 units to the right and 5 units down, what is the algebraic rule?

• (x - 2, y + 5)

• (x + 2, y + 5)

• (x - 2, y - 5)

• (x + 2, y - 5)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What is the result of translating a point (3, 4) by the rule (x - 3, y + 2)?

• (0, 6)

• (6, 2)

• (0, 2)

• (6, 6)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What is the algebraic rule for a 90-degree counterclockwise rotation?

• (x, y) -> (-x, -y)

• (x, y) -> (-y, x)

• (x, y) -> (y, -x)

• (x, y) -> (x, -y)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

After a 180-degree rotation, what happens to the coordinates of a point (x, y)?

• (x, y) -> (-y, x)

• (x, y) -> (-x, -y)

• (x, y) -> (y, -x)

• (x, y) -> (x, -y)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What is the effect of a dilation with a scale factor greater than 1?

• The figure gets smaller.

• The figure stays the same size.

• The figure gets larger.

• The figure flips.

Tags

CCSS.8.G.A.3

If a figure is dilated by a scale factor of 0.5, what happens to its size?

• It stays the same size.

• It gets half as large.

• It flips.

• It doubles in size.

Tags

CCSS.8.G.A.3

How can you identify a 90-degree counterclockwise rotation from a figure?

• The figure is flipped over the x-axis.

• The x and y coordinates are swapped, and the new y-coordinate is the opposite of the original x-coordinate.

• The coordinates of the points are doubled.

• The figure is translated to the right.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What transformation has occurred if the coordinates of a point change from (3, 5) to (-3, 5)?

• 90-degree rotation

• Translation

• Reflection over the y-axis

• Reflection over the x-axis

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5