Geometry Test Transformations

Front

What is a congruence transformation?

Back

A transformation that preserves the size and shape of a figure, resulting in a figure that is congruent to the original.

Front

What happens during a dilation with a scale factor of 1?

Back

The figure remains unchanged; it is a congruence transformation.

Front

How do you translate a figure?

Back

To translate a figure, you move it a certain distance in a specified direction without changing its shape or size.

Front

What is the translation vector for moving a point 5 units down and 4 units to the right?

Back

(x + 4, y - 5) is the translation vector.

Front

If point A is at (-6, -2), where is it after the translation T(-4, 2)?

Back

The new point is (-10, 0).

Front

What is the result of translating point Y at (5, 2) using (x + 2, y - 7)?

Back

The new point is (7, -5).

Front

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

Back

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

Front

What is the effect of a translation of 8 units down and 5 units to the right on a point?

Back

The new coordinates will be (original x + 5, original y - 8).

Front

How do you identify the transformation from ABC to A'B'C'?

Back

By analyzing the change in coordinates of the points from ABC to A'B'C'.

Front

What is the difference between enlargement and reduction in dilation?

Back

Enlargement increases the size of a figure (scale factor > 1), while reduction decreases the size (scale factor < 1).