Translations & Reflections

Front

What is a translation in geometry?

Back

A translation is a transformation that slides a figure in a straight line from one position to another without changing its size, shape, or orientation.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How do you reflect a point over the y-axis?

Back

To reflect a point (x, y) over the y-axis, change the sign of the x-coordinate: the reflected point is (-x, y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What does a reflection do to a geometric figure?

Back

A reflection flips a figure over a line (axis), creating a mirror image of the original figure.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

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

Back

The reflected point 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) over the y-axis?

Back

The reflected point is (2, 4).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the effect of translating 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 does a 90° clockwise rotation do to a point (x, y)?

Back

The new coordinates after a 90° clockwise rotation are (y, -x).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What does a 90° counterclockwise rotation do to a point (x, y)?

Back

The new coordinates after a 90° counterclockwise rotation are (-y, x).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How do you identify a translation from one triangle to another?

Back

Look for consistent changes in the coordinates of corresponding vertices; the same change should apply to all points.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the transformation from triangle ABC to triangle A'B'C' if A(1, 2) moves to A'(3, 5)?

Back

The transformation is a translation by (2, 3).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5