Translations, Reflections, & Rotations

Translations are ___.

• sliding

• flipping

• spinning

Answer explanation

tranSLation is when we move or SLide the figure from one spot on the coordinate grid to another one.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Reflections are ___.

• sliding

• flipping

• spinning

Answer explanation

reFLections FLip a shape, figure, or point over a line. It is like looking in the mirror. When reflecting over a vertical line "y" stays the same and "x" changes. When reflecting over a horizontal line "x" stays the same and "y" changes.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Rotations are___.

• sliding

• flipping

• spinning

Answer explanation

Rotations spin a point, shape, or figure around an axis. Points travel clockwise or counter clockwise in 90-degree increments.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

The red triangle is the original and has translated to the position of the blue triangle. Which correctly identifies the translation.

• (x+3, y-2)

• (x-2, y+3)

• (x-3, y+2)

• (x+2, y-3)

Tags

CCSS.HSG.CO.A.2

M' is at (-2, 6) and M is at (-7, -1)

Which correctly identifies the translation.

• (x-5, y-7)

• (x+5, y-7)

• (x+5, y+7)

• (x-5, y+7)

Tags

CCSS.HSG.CO.A.2

Triangle ABC is ___ to become Triangle DEF

• reflected over the x-axis

• reflected over the y-axis

• translated (x+4, y)

• rotated clockwise 270 degrees

Answer explanation

When reflecting across the y-axis the "y" value stays the same and the "x" value flips to its opposite.

Tags

CCSS.HSG.CO.A.2

When reflecting across the x-axis the original is

(x, y) and the new is ___.

• (-x, y + 2)

• (-x, -y)

• (-x, y)

• (x, -y)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Rotating 90-degrees clockwise is the same as rotating (a)   degrees counterclockwise.

Answer explanation

The rule for this rotation is

(x, y) becomes (y, -x)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Rotating counter clockwise 90-degrees is the same as rotating (a)   degrees clockwise.

Answer explanation

The rule for this rotation is

(x, y) becomes (-y, x)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Rotating 180-degrees puts the new figure in the same new spot whether we rotate clockwise or counter clockwise.

• TRUE

• FALSE

Answer explanation

The rule for a 180-degree rotation is (x, y) becomes

(-x, -y)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5