a Copy PQR. Draw its reflection over the x -axis and give the coordinates of the vertices. b Cop

step 1 Here we have triangle PQR. And the first thing we're going to do is rotate this over the X axis.

A Copy PQR. Draw its reflection over the x -axis and give...

a Copy $\triangle \mathrm{PQR}$. Draw its reflection over the $\mathrm{x}$ -axis and give the coordinates of the vertices. b Copy $\triangle \mathrm{PQR}$. Draw its reflection over the y-axis and give the coordinates of the vertices. c Copy $\triangle \mathrm{PQR}$. Slide it 3 units to the left and give the coordinates of the vertices.

a Copy $\triangle \mathrm{PQR}$. Draw its reflection over the $\mathrm{x}$ -axis and give the coordinates of the vertices.
b Copy $\triangle \mathrm{PQR}$. Draw its reflection over the y-axis and give the coordinates of the vertices.
c Copy $\triangle \mathrm{PQR}$. Slide it 3 units to the left and give the coordinates of the vertices.

Key Concepts

Translation

Translation is a geometric transformation that shifts a shape a fixed distance in a specified direction without altering its size, shape, or orientation. Each point of the shape is moved the same distance and in the same direction. In coordinate geometry, a translation is represented by adding or subtracting a constant value to the coordinates; for example, translating a point 3 units to the left involves subtracting 3 from the x-coordinate.

Coordinate Geometry

Coordinate geometry, or analytic geometry, is the study of geometric figures using a coordinate system. It involves representing shapes and transformations algebraically with ordered pairs. This area of study is fundamental in understanding how transformations like reflections and translations affect the coordinates of points, allowing for precise calculations and graphical representations.

Reflection

Reflection is a type of geometric transformation where each point of a shape is mapped to a point directly opposite to it across a fixed line, known as the line of reflection. This transformation maintains the shape and size of the original figure while reversing its orientation. For example, reflecting a coordinate (x, y) over the x-axis results in the point (x, -y), and reflecting over the y-axis results in (-x, y).