Unit 7 Day 7 Practice- Translation

Front

What is a translation in geometry?

Back

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

Front

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

Back

This notation represents a translation of a point (x, y) by 'a' units horizontally and 'b' units vertically.

Front

If a point is translated 5 units to the right and 3 units up, what is the algebraic rule?

Back

(x, y) → (x + 5, y + 3)

Front

What is the center of dilation?

Back

The center of dilation is a fixed point in the plane about which all points are expanded or contracted.

Front

How do you determine the new coordinates after a dilation?

Back

To find the new coordinates after a dilation, multiply the original coordinates by the scale factor.

Front

What is the scale factor in dilation?

Back

The scale factor is a number that scales, or multiplies, the dimensions of a figure during dilation.

Front

If a polygon is dilated by a scale factor of 0.5, what happens to its size?

Back

The polygon will be reduced to half its original size.

Front

What does it mean to translate a point 6 units down?

Back

To translate a point 6 units down means to subtract 6 from the y-coordinate of the point.

Front

What is the result of translating the point (3, 4) 2 units to the left and 5 units down?

Back

The new coordinates will be (1, -1).

Front

What is the difference between a translation and a rotation?

Back

A translation slides a figure without changing its orientation, while a rotation turns a figure around a fixed point.