1 / 12

Advanced Geometry Rigid Transformations Lesson 2

Reflections. Advanced Geometry Rigid Transformations Lesson 2. Reflection. flip. Line of Reflection. http://www.mathsisfun.com/flash.php?path=%2Fgeometry/images/reflection.swf&w=670.5&h=579&col=%23FFFFFF&title=Geometry+-+Reflection. Pre-image. Image. N. E. E . N . P. P . T.

ula
Download Presentation

Advanced Geometry Rigid Transformations Lesson 2

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Reflections Advanced Geometry Rigid Transformations Lesson 2

  2. Reflection flip Line of Reflection http://www.mathsisfun.com/flash.php?path=%2Fgeometry/images/reflection.swf&w=670.5&h=579&col=%23FFFFFF&title=Geometry+-+Reflection

  3. Pre-image Image N E E  N P P T A A T

  4. Example: Draw the reflected image of quadrilateral WXYZ in line p.

  5. Example: Name the image of each figure under a reflection in line F D trapezoid FHGA

  6. Example: Quadrilateral ABCD has vertices A(1, 1), B(3, 2), C(4, -1), and D(2, -3). Graph ABCD and its image under reflection in the x-axis.

  7. Example: Triangle RST has vertices R( -1, 3), S(-5, -2), and T(2, 4). Graph RST and its image under reflection in the y-axis.

  8. Example: Quadrilateral RUDV has vertices R(-2, 2), U(3, 1), D(4, -1), and V(-2, -2) and is reflected in the origin. Graph RUDV and its image. To reflect in the origin, reflect over both the x-axis AND y-axis.

  9. Example: Triangle XYZ has vertices X(4, -2), Y(2, -3), and Z(3, -5). Graph XYZ and it image under reflection in the line y = x.

  10. Example: Rectangle JKLM has vertices J(0, 2), K(0, -2), L(3, 2), and M(3, -2). Graph JKLM and its image under reflection in the line y = -x.

  11. If a figure can be folded so that the two halves match exactly, the fold is called a line of symmetry. For some figures, a common point of symmetry, called a point of reflection, exists for all points on a figure

  12. Example: Determine how many lines of symmetry the figure has and draw them. Then determine whether the figure has point symmetry. A point of symmetry is the midpoint of all line segments joining opposite points of the figure.

More Related