Transformations

Front

What is a translation in geometry?

Back

A translation is a transformation that moves every point of a shape a constant distance in a specified direction.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How do you perform a vertical translation of a point?

Back

To perform a vertical translation, you add or subtract a value from the y-coordinate of the point.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How do you perform a horizontal translation of a point?

Back

To perform a horizontal translation, you add or subtract a value from the x-coordinate of the point.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the result of translating the point (3, 5) 4 units left and 2 units down?

Back

The new point is (-1, 3).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is a reflection in geometry?

Back

A reflection is a transformation that flips a shape over a line, creating a mirror image.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the line of reflection for a reflection across the x-axis?

Back

The line of reflection is the x-axis, meaning the y-coordinates of points are negated.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the rule for reflecting a point (x, y) across the x-axis?

Back

The rule is (x, y) → (x, -y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the rule for reflecting a point (x, y) across the y-axis?

Back

The rule is (x, y) → (-x, y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How do you determine the translation rule from one triangle to another?

Back

You find the change in x-coordinates and y-coordinates between corresponding points of the triangles.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What does the notation (x, y) → (x + a, y + b) represent?

Back

It represents a translation where 'a' is the horizontal shift and 'b' is the vertical shift.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5