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When students have connected the points in the plane by line segments, they choose another pair of parallel lines and notice that the slope of a line connecting the points is the same as the slope of the perpendicular line to the original pair of parallel lines.
Depending on students' prior knowledge, this assignment may require significant scaffolding. The first step is to show students that the slope of a line parallel to a line with a slope of -1/2 is -1/2. Second, students need to complete the proof.
For this activity, 1-2 students will be given problems to solve. The problem will be to determine the slope of a line parallel to a line with a slope of -1/2. If students will be working individually, students should be given a rubric where they are expected to write down the number -1/2 on the rubric and indicate the line number and which pair of lines have slopes -1/2 and -1/2.
Ask students how they know that the slope of the perpendicular line is the same as the slope of the original pair of lines. Expose students who correctly point out that the slope of the perpendicular line in this case is the negative reciprocal of the slope of the original pair of lines.
The stamp is a fancy word for a marking, and it's commonly found on silver jewelry. The stamp in the picture is stamped on the inside of a ring, where the marking specifies the quality of silver used to make the ring. Most jewelry is stamped with a number, letter, or both. Here are the most common markings. 827ec27edc