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In this lesson, students develop a generalized sequence of rigid transformations and a dilation that will always work to take a triangle to another triangle that has congruent corresponding angles and corresponding side lengths in the same proportion. Students make use of repeated reasoning to write their generalized sequence of transformations (MP8).
Technology isn’t required for this lesson, but there are opportunities for students to choose to use appropriate technology to solve problems. We recommend making technology available.
Separate the transformer cards from the triangle cards and give each group one transformer card and one set of three triangle cards. If feasible, provide each group of 2 with a folder or other divider so students can’t see each other’s desktops.
Students will continue adding to their reference chart in this activity. Be prepared to add to the class display. The Blank Reference Chart for students and a teacher copy of a completed version are available in the blackline masters for the unit.
If there are multiple sections of this course in the same classroom, consider hiding entries on the class reference chart and revealing them at the appropriate time rather than making multiple displays.