Transformations Part 2

Use this applet to do the work for the question below.

Answer the following questions by doing the work in the applet window above.

Given that lines j and k are 5 units apart from each other and parallel. If you were to reflect the trapezoid ABCD over line j then reflect the created image over line k, that would be the same as a translation of how many units from trapezoid ABCD to trapezoid A"B"C"D"?

Check all that apply

Use this applet window to answer the question below

Use the applet window above to do the work to answer the following question.

If an object is reflected over a line (line g) and then the created image is reflected over another line (line h) not parallel to the first, then the resulting image is a rotation of the pre-image around the point where the lines intersect. How does the angle of rotation compare to the angle between the two lines? You can use the angle measure tool (2nd from left) to measure the angle between the pre-image point marked and the corresponding point on the final created image to help figure this out.

Complete the performance task in the window

Your goal is to perform a glide reflection so that the filled image is transformed correctly to completely fill the outlined shape given. Remember that a glide reflection is a translation followed by a reflection over a line parallel to the translation vector. The line of reflection below cannot be moved but the vector can be changed by moving the red point at the end of the vector. (Both transformation tools you need are under the 2nd toolbox.)

Use this applet to answer the question below.

In the applet above, reflect the object over the line given, then move the blue points to change the position of the line. Every time the reflected shape matches the original shape exactly you have found a line of symmetry. Determine the number of lines of symmetry for the given object, if there are no lines of symmetry type that in as your answer.

Use this applet to answer the question below.

In the applet above, reflect the object over the line given, then move the blue points to change the position of the line. Every time the reflected shape matches the original shape exactly you have found a line of symmetry. Determine the number of lines of symmetry for the given object, if there are no lines of symmetry type that in as your answer.

Use the applet to answer the question below.

In the applet above the tan object has been dilated with center point E. Use the tools available in the applet to determine the scale factor by which the figure was dilated. (It will probably take more than one attempt of dilating to get this correct)

Use this applet to answer the question below.

Is the green rectangle a dilation of the blue rectangle? You can use the point given as the center of dilation (it can also be moved) and try different scale factors of dilation to determine if this is the case.

Check all that apply

Use this applet to answer the question below.

How many different axes of symmetry can you find in the cube above? Move the red points to change the position of the axis of symmetry then move the slider to determine if there is axis symmetry along the line you have chosen.

Complete the following task in the Geogebra window

Your task is to place a center of dilation (point) in the window then dilate the filled image by a scale factor of 2 so that the dilated image fills in the outline of the given shape completely. Once you have placed your center of dilation and performed the dilation you can move the center with the move tool to make the dilated image properly fill in the outline.