Transformations

Front

What is a transformation in geometry?

Back

A transformation in geometry is an operation that moves or changes a shape in some way to produce a new shape.

Tags

CCSS.HSG.CO.A.2

Front

What are the four main types of transformations?

Back

The four main types of transformations are translation, rotation, reflection, and dilation.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

Describe a reflection transformation.

Back

A reflection transformation 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 coordinate rule for a reflection over the line y = -x?

Back

The coordinate rule for a reflection over the line y = -x is (x, y) → (-y, -x).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the effect of a 90-degree counter-clockwise rotation on the point (x, y)?

Back

The effect of a 90-degree counter-clockwise rotation on the point (x, y) is (x, y) → (-y, x).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the equation of a parabola that opens downwards?

Back

The equation of a parabola that opens downwards can be expressed in the form y = -a(x - h)² + k, where (h, k) is the vertex.

Front

How do you determine the number of lines of symmetry in a figure?

Back

The number of lines of symmetry in a figure can be determined by identifying how many ways the figure can be folded to match itself.

Tags

CCSS.4.G.A.3

Front

What is the coordinate rule for a rotation of 180 degrees about the origin?

Back

The coordinate rule for a rotation of 180 degrees about the origin is (x, y) → (-x, -y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the transformation rule for a translation of a point (x, y) by (a, b)?

Back

The transformation rule for a translation of a point (x, y) by (a, b) is (x, y) → (x + a, y + b).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

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

Back

A dilation with a scale factor greater than 1 enlarges the shape, making it larger than the original.

Tags

CCSS.8.G.A.3