Learning 2D Shape Reflections with Grids and Vertices
Learn how to reflect 2D shapes using grids and vertices on a whiteboard. Understand vertical, horizontal, and diagonal reflections by plotting points, drawing lines, and reflecting shapes in this educational activity. Explore the symmetry across the line of reflection to grasp the concept visually.
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y 6 4 2 x -6 -4 -2 4 6 0 2 -2 -4 -6
Copy and complete one of these vertical reflections on your whiteboard
Copy and complete one of these horizontal reflections on your whiteboard
Copy and complete one of these diagonal reflections on your whiteboard
Today we are going to be learning about how to reflect 2D shapes. Look at the diagrams below. Which shows a reflections? How do you know?
This diagram shows a reflection Notice how the vertices are equidistant each side of the line of reflection.
Lines of Reflection y 6 Plot the following points on your grid: 4 2 (2, 6) (2, 2) (2,0) 2,6 x -6 -4 -2 4 6 0 2 -2 -4 -6 Draw the straight line that goes through these four points
Lines of Reflection y 6 All points on this line have an ? ?????????? of 2. 4 2 x -6 -4 -2 4 6 0 2 Therefore we call this line ? = 2 -2 -4 -6
Reflection y Now draw shape T on your grid and reflect it in the line ? = 2 3 5 3 5 6 T T 4 4 4 2 x -6 -4 -2 4 6 0 2 The T shape has vertices (-2, 2), (-1, 6) and (-3, 5) -2 -4 -6
Lines of Reflection y 6 Plot the following points on your grid: 4 2 ( 6,0) ( 2,0) (0,0) 4,0 x -6 -4 -2 4 6 0 2 -2 -4 -6 Draw the straight line that goes through these four points
Lines of Reflection y 6 All points on this line have a y- coordinate of 0 4 2 x -6 -4 -2 4 6 0 2 Therefore we call this line ? = 0 -2 -4 -6
Reflection y Now draw shape S and reflect it in the line ? = 0 6 S 4 5 4 2 3 Triangle S has vertices at coordinates (1, 5), (2, 3) and (5, 4) x -6 -4 -2 4 6 0 2 5 4 3 -2 S -4 -6
Lines of Reflection y 6 Plot the following points on your grid: 4 2 ( 6, 6) ( 2, 2) (0,0) 4,4 x -6 -4 -2 4 6 0 2 -2 -4 -6 Draw the straight line that goes through these four points
Lines of Reflection y 6 All the points on this line have the ? ?????????? equal to the ? ??????????. 4 2 x -6 -4 -2 4 6 0 2 Therefore we call this line ? = ? -2 -4 -6
Reflection y Now draw shape T and reflect it in the line ? = ?. 6 T 3.5 4 4 4 2 2 3.5 x 2 The T triangle has vertices (-2, 2), (-1, 6) and (-3, 5) -6 -4 -2 4 6 0 2 4 -2 T -4 -6
Fluency Practice On your grid: y 1. Reflect shape A in the line ? = 1. Label this reflected triangle B. 6 A 4 2. Reflect shape A in the line ? = 2. Label this reflected triangle C. 2 x -6 -4 -2 4 6 0 2 3. Reflect shape A in the line ? = ?. Label this reflected triangle D. -2 -4 4. Reflect shape A in the line ? = ?. Label this reflected triangle E. -6
Lines of Reflection ? = 1 y Sometimes the line of reflection is not given. 6 T T 4 2 x What is the line of reflection here? -6 -4 -2 4 6 0 2 -2 -4 -6
In pairs: Draw on the lines of reflection and write the equation of each line
Mark and correct your work Draw on the lines of reflection and write the equation of each line ? = 0 ? = 2 ? = 1 ? = 3 ? = 2 ? = 1 ? = 2 ? = 0
Mark and correct your work Draw on the lines of reflection and write the equation of each line ? = ? + 3 ? = ? ? = ? + 2 ? = ? ? = ? + 3 ? = ? 2 ? = ? ? = ?
