What is the rule for the transformation formed by refelction over the x axis?

A reflection is a type of transformation uses a line that acts like a mirror, with an image reflected in the line. The mirror line is the line of reflection. A transformation is an isometry, which preserves lengths, angle measures, parallel lines, and distances between points.

A reflection in the line m is a transformation that maps every point P in the plane to a point P′ such that the following properties are true:

If P is not on m, then m is the perpendicular bisector of . This means that it divides into two congruent parts at a right angle.

If P is on m, then P = P′.

Reflections in Coordinate Plane

The line of reflection acts like a mirror between the preimage and its image.

Reflections in the coordinate axes can be found by applying the following rules:

1. If (x, y) is reflected in the x-axis, its image is the point (x, -y). The y-coordinate is negated when reflecting in the x-axis. The rule is (x, y) → (x, -y).
2. If (x, y) is reflected in the y-axis, its image is the point (-x, y). The x-coordinate is negated when reflecting in the y-axis. The rule is (x, y) → (-x, y).
3. If (x, y) is reflected in the line y = x, its image is (y, x). The line y = x is a line with a slope of 1 and a y-intercept of 0. The x-coordinate and the y-coordinate are switched when reflecting in the line y = x. The rule is (x, y) → (y, x).

For example, consider the point (4, 1).
Reflected in the x-axis: the rule is (x, y) → (x, -y), (4, 1) → (4, -1).
Reflected in the y-axis: the rule is (x, y) → (-x, y), (4, 1) → (-4, 1).
Reflected in the line y = x-axis: the rule is (x, y) → (y, x), (4, 1) → (1, 4).

d. millimeters per hour.

step-by-step explanation:

we are given that,

carlo used a rain gauge to measure the amount of water his lawn is receiving from the sprinklers.

since, according to the options, we see that,

water cannot be measured by 'miles per hour', 'meters per second' and 'grams per seconds'.

we get that, the water can be measured by 'millimeters per hour'.

hence, the appropriate rate for describing the amount of water is 'millimeters per hour'.

the diver is 33 feet below the surface.

step-by-step explanation:

hope this