Transformations flashcard 8th grade

Front

What is a reflection in geometry?

Back

A reflection is a transformation that flips a figure over a line, creating a mirror image.

Front

What does it mean to rotate a figure?

Back

To rotate a figure means to turn it around a fixed point, known as the center of rotation, by a certain angle.

Front

How do you translate a point in the coordinate plane?

Back

To translate a point, you move it a certain distance in the horizontal and vertical directions, defined by the translation vector.

Front

What are the coordinates of a point in Quadrant I?

Back

In Quadrant I, both x and y coordinates are positive.

Front

What is the result of translating a point (x, y) 3 units left and 9 units down?

Back

The new coordinates will be (x-3, y-9).

Front

What is the center of rotation?

Back

The center of rotation is the fixed point around which a figure is rotated.

Front

What does it mean for a triangle to be congruent after a transformation?

Back

A triangle is congruent after a transformation if its size and shape remain the same, even if its position changes.

Front

What is the effect of a 90° clockwise rotation on a point (x, y)?

Back

The new coordinates will be (y, -x) after a 90° clockwise rotation.

Front

How do you identify the quadrant of a point (x, y)?

Back

The quadrant can be identified based on the signs of x and y: Quadrant I (x>0, y>0), Quadrant II (x<0, y>0), Quadrant III (x<0, y<0), Quadrant IV (x>0, y<0).

Front

What is the transformation rule for a reflection across the y-axis?

Back

The transformation rule is (x, y) -> (-x, y).