Dilations, Reflections, Translations

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure but keeps its shape, defined by a scale factor.

Tags

CCSS.8.G.A.3

Front

What is the scale factor in a dilation?

Back

The scale factor is a number that describes how much a figure is enlarged or reduced during a dilation.

Tags

CCSS.8.G.A.3

Front

If a point (x, y) is dilated by a scale factor of k, what is the new point?

Back

The new point is (kx, ky).

Tags

CCSS.8.G.A.3

Front

What happens to the coordinates of a point when it is reflected across the x-axis?

Back

The y-coordinate changes sign; the new point is (x, -y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What happens to the coordinates of a point when it is reflected across the y-axis?

Back

The x-coordinate changes sign; the new point is (-x, y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is a translation in geometry?

Back

A translation is a transformation that moves every point of a figure the same distance in a specified direction.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How do you perform a translation of a point (x, y) by (a, b)?

Back

The new point after translation is (x + a, y + b).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the result of reflecting the point (3, 5) across the x-axis?

Back

The result is (3, -5).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the result of reflecting the point (-2, 4) across the y-axis?

Back

The result is (2, 4).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the effect of a reflection across the line y = x on the point (a, b)?

Back

The new point is (b, a).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5