Exploring 4 3 Transformations and Isometries

Miss Browning introduces section 4.3 on using transformations to show congruence, focusing on rigid motions like translations, reflections, and rotations. She explains that these transformations preserve length, angle measure, and area, making them isometries. The lesson includes examples on the coordinate plane and exercises for students to practice. An investigation activity is also provided to explore transformation rules and congruence.

What is the term used for the original figure in a transformation?

• Translation

• Isometry

• Pre-image

• Image

Which of the following is NOT a characteristic of rigid motions?

• Preserves area

• Preserves angle measure

• Preserves length

• Changes area

What is another term for a translation?

• Flip

• Turn

• Slide

• Rotate

Which rigid motion is described as a 'flip'?

• Translation

• Reflection

• Rotation

• Isometry

If a figure is rotated 180 degrees, what type of transformation is it?

• Dilation

• Reflection

• Translation

• Rotation

What is the result when not all corresponding angles or sides are congruent?

• Isometry

• Congruent figures

• Non-rigid motion

• Rigid motion

In the investigation, what does the prime symbol (') indicate?

• Rotation

• Translation

• Pre-image

• Image

What transformation rule is applied when the coordinates (x, y) become (-x, y)?

• Translation

• Reflection over the y-axis

• Reflection over the x-axis

• Rotation

What does doubling the y-coordinate in a transformation rule indicate?

• Rotation

• Translation

• Vertical stretch

• Reflection

What should you do after completing the investigation with points K, J, and W?

• Email it to the teacher

• Upload it to Google Classroom

• Submit it in Ed Puzzle

• Print it out