IM Geo.1.15 Lesson: Symmetry

Here is a Segment AB:

If you translate the segment up 5 units then down 5 units, it looks the same as it did originally.

What other rigid transformations create an image that fits exactly over the original segment?[br]

Are there any [i]single[/i] rigid motions that do the same thing?[br]

Determine all the lines of symmetry for the shape your teacher assigns you. Create a visual display about your shape in the applet below. Include these parts in your display:

[list][*]the name of your shape[/*][*]the definition of your shape[/*][*]drawings of each line of symmetry[/*][*]a description in words of each line of symmetry[/*][*]one non-example in a different color (a description and drawing of a reflection [i]not[/i] over a line of symmetry)[/*][/list]

Look at all of the shapes the class explored and focus on those which had more than one line of symmetry.

What is true for all the lines of symmetry in these shapes?[br]

Give an example of a shape that has two or more lines of symmetry that do not intersect at the same point.[br]

What would happen if you did a sequence of two different reflections across lines of symmetry for the shapes you explored in class?[br]

Kiran thinks both diagonals of a kite are lines of symmetry. Tyler thinks only 1 diagonal is a line of symmetry.

Who is correct? Explain how you know.