Table of Contents

- 1 How does the x-coordinate change?
- 2 Does a reflection over the x-axis mean you change the sign of the x-coordinate?
- 3 What happens when you flip the x and y-axis?
- 4 Does X or Y come first in coordinates?
- 5 What is the point obtained when the point X Y is reflected about the x-axis?
- 6 What does it mean to reflect the point in the x-axis?
- 7 What happens if you switch x and y coordinates?
- 8 What is the ordered pair 0 0 also known as?
- 9 What are the coordinates of a reflection on the Y axis?
- 10 What is the rule for reflecting over the x axis?
- 11 What are the coordinates of a point in the plane?

## How does the x-coordinate change?

When you reflect a point across the line y = x, the x-coordinate and the y-coordinate change places. Reflection in y = -x: When you reflect a point across the line y = -x, the x-coordinate and the y-coordinate change places and are negated (the signs are changed).

## Does a reflection over the x-axis mean you change the sign of the x-coordinate?

Reflecting over the x-axis does not change the x-coordinate but changes the sign of the y-coordinate. So A^\prime = (-5,-3). If we were to fold the plane along the x-axis, the points A and A^\prime match up with one another.

**How do you reflect a point over the x-axis?**

The rule for reflecting over the X axis is to negate the value of the y-coordinate of each point, but leave the x-value the same. For example, when point P with coordinates (5,4) is reflecting across the X axis and mapped onto point P’, the coordinates of P’ are (5,-4).

### What happens when you flip the x and y-axis?

Another transformation that can be applied to a function is a reflection over the x– or y-axis. A vertical reflection reflects a graph vertically across the x-axis, while a horizontal reflection reflects a graph horizontally across the y-axis. The reflections are shown in Figure 9.

### Does X or Y come first in coordinates?

To locate (2,5), move 2 units to the right on the x-axis and 5 units up on the y-axis. The order in which you write x- and y-coordinates in an ordered pair is very important. The x-coordinate always comes first, followed by the y-coordinate.

**What is the rule for a reflection over Y X?**

Reflection in the y -axis: The rule for a reflection over the y -axis is (x,y)→(−x,y) .

## What is the point obtained when the point X Y is reflected about the x-axis?

When you reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate is transformed into its opposite (its sign is changed). the line y = x is the point (y, x). The reflection of the point (x,y) across. the line y = -x is the point (-y, -x).

## What does it mean to reflect the point in the x-axis?

When you reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the x-axis is (x, -y).

**Is X across the x-axis?**

The x-axis is horizontal, and the y-axis is vertical. One way to remember which axis is which is ‘x is a cross so the.

### What happens if you switch x and y coordinates?

If you change the x for y it will always change, but it is not a 90 degree rotation, it is actually a reflection by the x=y line. This happens because you are not doing any operation on the equation, just changing the variables.

### What is the ordered pair 0 0 also known as?

Explanation: The point given by (0,0) is called the origin. If a graph passes through the origin then the x-intercept and the y-intercept are at the same point and are therefore equal.

**Which country does Prime Meridian passes through?**

Greenwich, England

The prime meridian is arbitrary, meaning it could be chosen to be anywhere. Any line of longitude (a meridian) can serve as the 0 longitude line. However, there is an international agreement that the meridian that runs through Greenwich, England, is considered the official prime meridian.

## What are the coordinates of a reflection on the Y axis?

For example, when point P with coordinates (5,4) is reflecting across the Y axis and mapped onto point P’, the coordinates of P’ are (-5,4). Notice that the y-coordinate for both points did not change, but the value of the x-coordinate changed from 5 to -5.

## What is the rule for reflecting over the x axis?

The rule for reflecting over the X axis is to negate the value of the y-coordinate of each point, but leave the x-value the same. For example, when point P with coordinates (5,4) is reflecting across the X axis and mapped onto point P’, the coordinates of P’ are (5,-4).

**How are the coordinates of a 2D position represented?**

A 2D position P is represented by a 2-element vector p = (px, py) that gives its coordinates relative to axis directions X and Y , offset from a position O where the axes cross, called the origin ( Fig. 1 ). We will also represent vectors in column vector form: for use in matrix-vector products.

### What are the coordinates of a point in the plane?

A point P in the plane (a) has no numerical representation until we define a reference coordinate frame (b), which has origin point O and orthogonal coordinate axes X and Y. Its coordinates p = (px, py) are respectively the extents of P along X and Y from the origin (c).