Lesson: Dilation and Isometries
Students should be familiar with reflections, rotations and translations. Students should be familiar with graphing on
the coordinate plane.
Objectives: Students will be able to identify and perform a dilation on the
coordinate plane. Students will be able
to understand the scale factor of dilation. Students will understand the
concept of isometry and apply it to reflection, rotation and translation.
Ideas: Dilation (x,y) D scale of 4 (4x,4y)
scale factor can refer to an enlargement or a reduction of a figure
Problem: On a coordinate plane plot the points A(-2,0) B(-2,2) C(-1,2) and
D(0,-1). Perform the translation T(4,
-2). Plot the new points and record the
new coordinates labeling them A’B’C’. With the original figure
multiple each x,y coordinate by 3. Plot and record the new coordinates labeling
them A’’B’’C’’. Answer the following
questions about the new figures:
Questions: What is a scalar?