Lesson Summary - 6.1 PDF

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Colin O’Brien 12/1/17 Lesson Summary: 6.1 - Leaping Lizards! Concepts We Covered: - How to translate a shape on a coordinate plane. For example, the example on the next page shows the trapezoid A being translated (x + 4) (y - 3). On each point I took their ordered pair and added 4 to the x-value and subtracted 3 from the y-value to create A’. - How to rotate a shape on a coordinate plane. For example, the example shown on the next page shows the trapezoid A being rotated 90o counter-clockwise around the point (10,19). I did this by taking each anchor point and rotating it about the point (10,19) to get A’’. - How to reflect a shape on a coordinate plane. For example, this is shown on the next page where I reflected the trapezoid A across the line y = -2x + 20. I found each point by first finding the perpendicular angle of -2x which is ½ x so I know that for each point I can draw a line with a slope of ½ x going left to the other side of the line y = -2x + 20. Then for each point I can put my compass on them and where there line intersects with y = -2x + 20 and draw a semicircle about the intersection until I intersect again with the line with a slope of ½ x and that intersection is where the point goes. This creates trapezoid A’’’. Vocabulary We Learned: - Translations: A rigid transformation in which the object moves a certain distance on the coordinate plane. For example, Trapezoid A’ is a translated version of trapezoid A. - Rotations: A rigid transformation in which an object is spun around a certain point. Trapezoid A’’ is a rotated version of trapezoid A.

- Reflections: A rigid transformation in which an object is reflected across a line creating a mirror image of the original object. For example, Trapezoid A’’’ is a reflected version of trapezoid A. - Rigid Transformations: Any change in an object on a coordinate plane in which the shape is still kept in the right size and proportion. Some examples are reflections, rotations, and translations shown throughout this lesson with the lizard, or the trapezoid shown on the next page....