Transformations: Review for Test 1

Front

What is a transformation in geometry?

Back

A transformation is a function that maps a geometric figure onto another figure, changing its position, size, or orientation.

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

Define translation in geometry.

Back

Translation is a transformation that moves every point of a figure the same distance in a given direction.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is a reflection in geometry?

Back

Reflection is a transformation that flips a figure over a line, creating a mirror image.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How do you perform a 90° clockwise rotation on a point (x, y)?

Back

To perform a 90° clockwise rotation, the new coordinates will be (y, -x).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How do you perform a 90° counterclockwise rotation on a point (x, y)?

Back

To perform a 90° counterclockwise rotation, the new coordinates will be (-y, x).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the result of reflecting a point (x, y) across the x-axis?

Back

The result is (x, -y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the result of reflecting a point (x, y) across the y-axis?

Back

The result is (-x, y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

If a point (x, y) is translated 4 units to the left and 2 units down, what are the new coordinates?

Back

The new coordinates will be (x - 4, y - 2).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

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

Back

This notation represents a translation of a point (x, y) by 'a' units horizontally and 'b' units vertically.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5