Isometry
44 min 9 Examples
- Introduction isometry and rigid motion in a plane
- What is an isometry? Explained with a transformation (Example #1)
- Name and describe the transformation (Examples #2-3)
- Show that the transformation is an isometry by comparing side lengths (Example #4)
- Find the value of each variable given an isometric transformation (Examples #5-6)
- Graph the image using the given the transformation (Examples #7-9)
Translation Rules
38 min 5 Examples
- Introduction to translations
- What is a translation? How do we describe a translation? (Examples #1-2)
- Describe the translation in words, coordinate notation, and component vector form (Example #3)
- Graph the transformation given the translation rule (Example #4)
- How do two consecutive reflections equals one translation?
- Identify the following given consecutive reflections (Example #5)
Reflection Rules
57 min 25 Examples
- Introduction to Reflections
- Properties of Reflections: Graph and Describe the Reflection (Examples #1-4)
- How to find the line of reflection (Examples #5-7)
- Graph the given reflection in the coordinate plane (Examples #8-13)
- Determine the number of lines of symmetry (Examples #14-17)
- Determine how a square piece of paper will look once unfolded (Examples #18-20)
- Glide Reflections and the Composition Theorem (Examples #21-22)
- Overview of how we can Optimize with Geometry
- Finding the minimum distance using reflections (Examples #23-25)
Rotation Rules
38 min 16 Examples
- Introduction to Rotations
- How to describe a rotational transformation (Examples #1-4)
- Draw the image given the rotation (Examples #5-6)
- Find the coordinates of the vertices after the given transformation (Examples #7-8)
- How to describe the rotation after two repeated reflections (Examples #9-10)
- Identify rotational symmetry, order, and magnitude of the rotation? (Examples #11-16)
Dilation Rules
44 min 13 Examples
- Introduction to Dilations
- What are Dilations? How to find the Scale Factor?
- Given the scale factor, determine if the dilation is a reduction or enlargement (Examples #1-4)
- Identify the dilation and determine its scale factor (Examples #5-7)
- Graph the dilation with the origin as the center point (Examples #8-9)
- Find the scale factor given select vertices from the preimage and image (Examples #10-11)
- Given a dilation solve for the indicated variables and find the ratio of perimeters (Examples #12-13)
Chapter Test
1 hr 8 min 19 Problems
- Sketch the composite transformation (Problems #1-3)
- Describe the transformation in words, coordinate notation, and component vector form (Problems #4-5)
- Describe the single transformation (Problems #6-10)
- Determine the lines of symmetry, order, and magnitude of rotational symmetry (Problems #11-12)
- State the point or segment that represents the image (Problem #13)
- Graph the dilated image with center of dilation at the origin (Problems #14-15)
- Graph the dilated image with center of dilation not at the origin (Problems #16-17)
- For the given dilation, solve for the indicated variables and find the ratio of perimeters (Problem #18)
- Solve for the indicated variables given rotational symmetry (Problem #19)
