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).

the most boring thing ever written

step-by-step explanation:

i am writing something. yes, i plan to make it the most boring thing ever written. i go to the store. a car is parked. many cars are parked or moving. some are blue. some are tan. they have windows. in the store, there are items for sale. these include such things as soap, detergent, magazines, and lettuce. you can enhance your life with these products. soap can be used for bathing, be it in a bathtub or in a shower. apply the soap to your body and rinse. detergent is used to wash clothes. place your dirty clothes into a washing machine and add some detergent as directed on the box. select the appropriate settings on your washing machine and you should be ready to begin. magazines are stapled reading material made with glossy paper, and they cover a wide variety of topics, ranging from news and politics to business and stock market information. some magazines are concerned with more recreational topics, like sports card collecting or different kinds of hairstyles. lettuce is a vegetable.