This page includes a lesson covering 'how to reflect a shape in the line y = −x using Cartesian coordinates' as well as a 15-question worksheet, which is printable, editable and sendable.

Reflections: Interactive Activity and examples. Reflect across x axis, y axis, y=x , y=-x and other lines.

Sep 13, 2024 · Reflection in geometry refers to the flipping of the shape over a line to create a mirror image. The line over which the shape is reflected is known as the line of the reflection.

Apr 18, 2023 · Before diving deeper into the process of the 𝑦 = 𝑥 reflection, recall how this equation is represented on the 𝑥 𝑦 -plane. The points (− 1, 1), (0, 0), and (1, 1) pass through the lines of 𝑦 = …

Apr 9, 2025 · This free tutorial for students will teach you how to construct points and figures reflected over the x axis and reflected over the y axis. Together, we will work through several …

The following diagram show the coordinate rules for reflection over the x-axis, y-axis, the line y = x and the line y = -x. Scroll down the page for more examples and solutions of reflection on the …

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 …

Learn how to find the image of a given reflection. In this article we will find the images of different shapes under different reflections. A reflection is a transformation that acts like a mirror: It …

To reflect a shape, simply reflect each of its vertices using the appropriate reflection formula, and then connect the reflected vertices in the same order as the original vertices.

In a reflection about the x-axis, the x-coordinates stay the same while the y-coordinates take on their opposite signs. Algebraically, the ordered pair (x, y) becomes (x , -y). Triangle ABC has …