Reflection in the line y=−x : A reflection of a point over the line y=−x is shown. The rule for a reflection in the origin is (x,y)→(−y,−x) .

What is a rule for reflection?

Reflection in the line y=−x : A reflection of a point over the line y=−x is shown. The rule for a reflection in the origin is (x,y)→(−y,−x) .

How do you reflect a shape on a coordinate grid?

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). If you forget the rules for reflections when graphing, simply fold your paper along the x-axis (the line of reflection) to see where the new figure will be located.

What are the three ways to write a translation?

There are three ways we describe a translation:

  • Words.
  • Coordinate Notation.
  • Component Form of a Vector.

How do you write a translation in math?

A translation is a transformation that moves every point in a figure the same distance in the same direction. For example, this transformation moves the parallelogram to the right 5 units and up 3 units. It is written \begin{align*}(x,y) \rightarrow (x+5,y+3)\end{align*}.

How do you reflect coordinates?

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

What is a rule for translation?

A translation is a type of transformation that moves each point in a figure the same distance in the same direction. The second notation is a mapping rule of the form (x,y) → (x−7,y+5). This notation tells you that the x and y coordinates are translated to x−7 and y+5. The mapping rule notation is the most common.

What is the translation rule for a graph?

The Rule for Horizontal Translations: if y = f(x), then y = f(x-h) gives a vertical translation. The translation h moves the graph to the left when h is a postive value and to the right when h is negative value.

How do you use coordinates?

Coordinates are ordered pairs of numbers; the first number number indicates the point on the x axis and the second the point on the y axis. When reading or plotting coordinates you always go across first and then up (a good way to remember this is: ‘across the landing and up the stairs’).

What is the coordinate rule for translation?

Example 1: Give a coordinate rule for translating a figure horizontally by 3 units. Solution: A horizontal translation just changes the x-coordinates of all points, so the rule is (x, y) à (x + 3, y).

How do you cite a source in another language?

Formula for citing a foreign language source in MLA: Author Last Name, Author First Name. Title in the Original Language [Translated Title]. Publisher, Year.

What are the two rules of reflection?

Laws of reflection are: (i) The incident ray, the reflected ray and the normal ray at the point of incidence, lie in the same plane. (ii) The angle of incidence is equal to the angle of reflection.