We recommend making technology available. Technology isn't required for this lesson, but there are opportunities for students to choose to use appropriate technology to solve problems. Choose two points A and B on line and use a compass to make. The Information Gap Activity might take longer than expected since it's the first one in the course, in which case, this lesson might span two days. 11.3 Activity: Triangle in the Mirror Any points on will be the same distance from P as P. When students analyze an error about reflections, they are critiquing the reasoning of others and making their own viable arguments (MP3). Watch the video explanation about Geometric Construction: Reflection using compass and straightedge. The reflected figure is a lighter shade of blue. Below, on the left, you can see a triangle reflected about a line outside the triangle. Make the lines extra long, just to be sure. Students will use the definition of reflection to prove theorems in this unit and subsequent units. Here you may to know how to reflect using a compass. When reflecting a triangle about a line, you need to draw lines from the vertices straight towards the mirror lineand further past it. This conjecture is used to motivate the definition of reflection. In a previous lesson, students conjectured that the perpendicular bisector of a segment is the same as the set of points equidistant to the segment’s endpoints. In this lesson, students build on these experiences and on their straightedge and compass constructions to rigorously define reflections as transformations that take every point of a figure to a point directly opposite to it on the other side of the line of reflection and the same distance from the line of reflection. In previous grades, students have verified experimentally the properties of rotations, reflections, and translations.
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