Geometry CP 4.1-4.2 Check-up

Front

What is the rule for translating a point (x, y) to a new point (x', y')?

Back

The translation rule is given by (x', y') = (x + a, y + b), where (a, b) is the translation vector.

Front

What is the image of a point (x, y) after a reflection in the line y = -x?

Back

The image is given by (x, y) → (-y, -x).

Front

What is a vector in geometry?

Back

A vector is a quantity that has both magnitude and direction, often represented as an arrow.

Front

How do you find the image of a point (x, y) after a reflection in the y-axis?

Back

The image is given by (x, y) → (-x, y).

Front

What is the image of a point (x, y) after a translation defined by (x, y) → (x - 6, y + 2)?

Back

The image is found by subtracting 6 from the x-coordinate and adding 2 to the y-coordinate.

Front

What is the distance formula in geometry?

Back

Front

What is the midpoint formula?

Back

The midpoint M between two points (x1, y1) and (x2, y2) is given by M = ((x1 + x2)/2, (y1 + y2)/2).

Front

What does it mean to reflect a point across a line?

Back

To reflect a point across a line means to find a point such that the line is the perpendicular bisector of the segment connecting the original point and its image.

Front

What is the vector representation of a segment of size 13?

Back

Front

What is the effect of a translation on the coordinates of a point?

Back

A translation shifts the point by a specified vector without changing its orientation.