The **line** y=x, when graphed on a graphing calculator, would appear as a straight **line** cutting through the origin with a slope of 1. When **reflecting** coordinate **points** of the pre-image **over** the **line**, the following notation can be used to determine the coordinate **points** of the image: r y=x = (y,x) For example: For triangle ABC with coordinate.

# How to reflect a point over a line

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In a reflection **over** the **line** y = x, the x- and y-coordinates simply switch positions. For example, suppose the **point** (6, 7) is reflected **over** y = x. The coordinates of the reflected **point** are (7, 6). Likewise, reflections across y = -x entail reversing the order of the coordinates, but also switching their signs. P r = P t /B t. 3.Reflection of Pr about BrAr (which is nothing but the X-Axis): Simply take the conjugate of the **point**. P r reflected = conj (P r) 4.Restoring back from Rotation: Multiply all **points** by Bt. P t reflected= conj (P r )*B t. 5.Restoring back from Translation: Add A to all **points**. P reflected = conj (P r )*B t + **A**.

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Reflection of point A (x,y) in the line y=mx+c. Given point P (x,y) and a line L1 y=mx+c. Then P (X,Y) is the reflected point on the line L1. If we join point P to P’ to get L2 then gradient of L2=-1/m1 where m1 is gradient of L1.

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Therefore, **reflecting** the **point** (-2,1) **over** the y-axis results in the **point** (2,1). Get access to thousands of practice questions and explanations! Create an account. Math Geometry Q&A Library **Reflect** the figure **over** the **line** y = 1. Plot all of the **points** of the reflected figure. You may click a plotted **point** **to** delete it. -109 8 3456. **Reflect** the figure **over** the **line** y = 1. Plot all of the **points** of the reflected figure. Reflections flip a preimage **over** **a** **line** **to** create the image. In this lesson we'll look at **how** the reflection of a figure in a coordinate plane determines where it's located. A reflection is a type of transformation that flips a figure **over** **a** **line**. The **line** is called the **line** of reflection, or the mirror **line**. Our breaking political news keeps you covered on the latest in US **politics**, including Congress, state governors, and the White House.

**As** /u/CandyOates and /u/phrankjones correctly write, you can define the reflection about a curve by projecting a **point** **to** one side of the curve, and sending it to a **point** on the other side of the curve, but at the same distance. This is the straightforward generalization of reflection about a **line** (or hyperplane). The problem is that this does not define a global transformation: except in a.

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