Transformations on the Coordinate Plane

Front

What is a reflection in geometry?

Back

A 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

What is the reflection of a point (x, y) over the y-axis?

Back

The reflection is (-x, y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the reflection of a point (x, y) over the x-axis?

Back

The reflection is (x, -y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What does it mean to translate a figure in the coordinate plane?

Back

To translate a figure means to slide it in a straight line from one position to another without changing its shape or orientation.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How do you translate a point (x, y) 5 units to the right?

Back

The new point will be (x + 5, y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How do you translate a point (x, y) 3 units down?

Back

The new point will be (x, y - 3).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the algebraic rule for translating a point (x, y) 10 units to the left and 4 units up?

Back

The rule is (x, y) → (x - 10, y + 4).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the center of a circle?

Back

The center of a circle is the point that is equidistant from all points on the circle.

Front

If a circle is translated 13 units to the right, what is the new center if the original center was (x, y)?

Back

The new center will be (x + 13, y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the effect of a translation on the size and shape of a figure?

Back

A translation does not change the size or shape of a figure; it only changes its position.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5