Concept
Reflection: the shape is flipped across a line of reflection to create the image. Each point of the image is the same distance from the line as the first shape is, just on the opposite side of the line.
Rule
To flip a shape across a line of reflection:
1. Start with one vertex. Count the number of units from the vertex to the line of reflection.
2. From that point on the line, count the same number of units away from the line. Place the new vertex here.
3. Do the same with the other vertices.
4. Draw the lines to connect each vertex and finish the shape.
Example
Graph the image of parallelogram ABCD after reflection over the given line.
Solution
To flip this shape across the line of reflection:
1. Start with one vertex. Count the number of units from the vertex to the line of reflection. (In this shape, vertex A is 4 units over from the line of reflection.)
2. Starting at that point on the line of reflection, count the same number of units away from the line. (In this shape, count 4 units up from the line of reflection.) Place the new vertex here.
3. Do the same with the other vertices.
Vertex B is 4 units over from the line. Count 4 units up from the line and place the new vertex here.
Vertex C is 1 unit over from the line. Count 1 unit up from the line and place the new vertex here.
Vertex D is 1 units over from the line. Count 1 unit up from the line and place the new vertex here.
4. Draw the lines to connect each vertex and finish the shape.
Pre-requisite Skills
Graph Objects on Coordinate Plane (4.11.1)
Graph Objects on Coordinate Plane (4.11.2)
Error