Transformations: Translations, Reflections, Rotations

The original figure prior to a transformation.

• Pre-image
• Image

Tags

CCSS.HSG.CO.A.2

What is the definition of a translation?

• To slide up, down, left, or right.

• To flip.

• To make a circular movement around a point.

• To mirror.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What is the definition of rotation?

• To move up, down, left, or right.
• To flip.
• To make a circular movement around a point.
• To mirror.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What is a reflection?

• When you turn an object around a point.
• When you slide an object form one place to another.
• When you flip or mirror an object across a line.
• When you resize an object.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Determine how to translate triangle ABC to triangle A'B'C' using the algebraic rule.

• (x, y) --> (x + 2, y - 5)

• (x, y) --> (x + 2, y - 9)

• (x, y) --> (x - 2, y - 9)

• (x, y) --> (x - 2, y + 9)

Tags

CCSS.HSG.CO.A.2

How would you translate point P to P'?

• Translate 2 units to the right and  8 units down
• Translate 3 units down and 2 units to the right
• Translate 4 units down and 4 units to the left
• Translate 8 units to the right and 2 units down

Tags

CCSS.HSG.CO.A.2

Reflect (6, -3) over the x-axis. What are the new coordinates of that point after the reflection?

• (6, 3)

• (-6, -3)

• (-3, 6)

• (3, -6)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What transformation is the following rule for?

(x, y) ----> (-x, y)

• Reflect over the x axis

• Reflect over the y-axis

• Rotate 90 degrees clockwise

• Rotate 270 degrees clockwise

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

If the rectangle were rotated 90º clockwise about the origin, what would be the coordinates of Z'?

• (2, -2)

• (-2, -3)

• (2, 2)

• (-3, -2)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Which series of transformations were performed in the figure?

• Translation 5 units down, reflection over the y-axis

• Reflection over the x-axis, translation 6 units right

• Rotation 90^o clockwise, reflection over the x-axis

• Rotation 180^o clockwise, reflection over the y-axis

Tags

CCSS.8.G.A.3