Transformation Constructions
Given two figures students will use their knowledge of lines, midpoints and perpendiculars to find the rotation, reflection or dilation.
Table of Contents
- Reflections
- Reflection
- Rotations about 180 degrees
- Rotations about 90 degrees (270 degrees)
- Quarter turn rotation
- Dilations
- Dilations
- Find the Transformation
- Find the Transformation
- Find the Transformation 2
- Composition of Transformations
- Composition 1
- Composition 2
Reflection
Finding a line of reflection.
To find a line of reflection, start by drawing a segment connecting each of the corresponding vertices. Find the midpoint of each of those segments. The line of relection passes through the midpoints of the segments.
What is the equation of the line of reflection?
Quarter turn rotation
To find the center of a 90 or 270 degree rotation, construct the segments joining the corresponding vertices. The center is the intersection of the perpendicular bisectors of those segments.
What was the degree of the angle of the rotation in the transformation above?
How did you figure out the degree of rotation?
What is the center of rotation?
Dilations
To find the center of dilation, construct the lines through the corresponding vertices. The center of dilation is the intersection of the lines.
What is the scale factor of the dilation?
How did you determine the scale factor?
What is the center of dilation?
Find the Transformation
Use the tools to determine the transformation
Describe the transformation. Include any lines of reflection or center and degree of rotation.
Composition 1
Can you find the sequence of transformations?
Describe a sequence of transformations that will transform triangle ABC to triangle A"B"C".