Translation Geometry Practice

Front

What is translation in geometry?

Back

Translation in geometry refers to moving a shape or point from one location to another without changing its size, shape, or orientation.

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

How do you translate a point (x, y) 5 units to the right and 3 units down?

Back

The translation rule is T(x,y) → (x+5, y-3).

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

What is the translation rule for moving a point 2 units left and 4 units up?

Back

The translation rule is T(x,y) → (x-2, y+4).

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

If a point is translated according to the rule T(x,y) → (x+3, y-2), how is it moved?

Back

The point is moved 3 units to the right and 2 units down.

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

What does the notation (x + a, y + b) represent in translation?

Back

It represents a translation where 'a' is the horizontal shift and 'b' is the vertical shift.

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

How do you represent a translation of a triangle ABC to A'B'C'?

Back

You can represent it using a translation rule like T(x,y) → (x+a, y+b) where 'a' and 'b' are the shifts.

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

What is the effect of translating a shape 0 units horizontally and 0 units vertically?

Back

The shape remains in the same position; there is no change.

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

If trapezoid ABCD is translated 8 units down and 5 units to the right, what is the new position of point A(x,y)?

Back

The new position of point A will be A'(x+5, y-8).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the translation rule for moving triangle A'B'C' to triangle ABC if A' is 2 units left and 9 units down from A?

Back

The translation rule is T(x,y) → (x+2, y-9).

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

How do you find the coordinates of a point after translation?

Back

Add the translation values to the original coordinates: New x = original x + horizontal shift, New y = original y + vertical shift.

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3