B C Aa B C Is The Image Of Aabc Under Glide Reflection Determined By The Slide Arrow De And The Reflecting Line De Not 1 (64.83 KiB) Viewed 21 times
B C Aa B C Is The Image Of Aabc Under Glide Reflection Determined By The Slide Arrow De And The Reflecting Line De Not 2 (28.33 KiB) Viewed 21 times
B C AA'B'C' is the image of AABC under glide reflection determined by the slide arrow DE and the reflecting line DE. Note that the intersections of AA', BB', and CC' with the line of reflection are the midpoints of those segments. Complete parts (a) and (b) below. OA E F c B a. Show that if P is any point and P' is its image under the glide reflection, then the midpoint of PP' is on the line of reflection. (Use the theorem saying that if a line bisects one side of a triangle and is parallel to a second side, then it bisects the third side.) For a horizontal line of reflection, let Q be the point that forms a horizontal line segment with P and a vertical line segment with P', let M be the point where QP' intersects the line of reflection, and let N be the point where PP intersects the line of reflection. Since the angles and are right angles, By the given theorem for APQP', since is the midpoint of QP', is the midpoint of PP/
b. If it is given that AA'B'C' is the image of AABC under a glide reflection, but neither the line of reflection nor the slide arrow is known, explain how to draw the line of reflection and the slide arrow. Connect A with and B with Mark the respective as F and G. Then is the line of reflection. Next construct Ay, the image of A in the line of reflection. is the slide arrow.
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