1 / 15

9.1 Translate Figure and Use Vectors

9.1 Translate Figure and Use Vectors. Translations http://www.mathsisfun.com/flash.php?path=%2Fgeometry/images/translation.swf&w=894&h=762&col=%23FFFFFF&title=Geometry+Translation Vector/Translations http://illuminations.nctm.org/LessonDetail.aspx?id=L474

hoshi
Télécharger la présentation

9.1 Translate Figure and Use Vectors

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. 9.1 Translate Figure and Use Vectors Translations http://www.mathsisfun.com/flash.php?path=%2Fgeometry/images/translation.swf&w=894&h=762&col=%23FFFFFF&title=Geometry+Translation Vector/Translations http://illuminations.nctm.org/LessonDetail.aspx?id=L474 Rotationshttp://illuminations.nctm.org/LessonDetail.aspx?ID=L466# rotational symmetryhttp://illuminations.nctm.org/LessonDetail.aspx?ID=L468

  2. Translation A translation moves a figure to a new location. • same shape • same size

  3. For all Transformations (including Translations) New figure is called an _____________. Original figure is called a _____________. image pre-image

  4. Translate a figure in the coordinate plane Example 1:Graph quadrilateral ABCD with vertices A(-1, 2), B(-1, 5), C(4, 6), and D(4, 3). Find the image of each vertex after the translation (x, y) → (x + 3, y – 1). Then graph the image using prime notation.

  5. are all Isometries If a transformation is an Isometry, then the image is the same shape and size of it’s pre-image. Types of Transformations (Preview- DON’T Write down) • Translation • Reflection • Rotation • Dilation

  6. Write a translation rule and verify congruence Write a rule for the transformations of ∆ ABC to ∆ A’B’C’. Then verify whether or not each transformation is an isometry. If so, use a congruence postulate (SAS, ASA, SSS, AAS). a) b)

  7. VECTORS • A vector is a quantity that has both _______________ and ______________________, or size. • It is used as another way to describe a _______________________________. • A vector is represented in the coordinate plane by an _______________ drawn from one point to another. direction magnitude translation ray

  8. F G 5,3

  9. Identify vector components Example 3: Name the vector and write its component form. 5, -2 -7, 0

  10. EXAMPLE 4: The vertices of ∆ABC are A(0, 3), B(2, 4), and C(1, 0). Translate ∆ABC using the vector 5,-1 .

  11. Example 5: The vertices of ∆ABC are A(-1, -1), B(0, 2), and C(1, 0). Translate ∆ABC using the vector .

  12. Translation Rule Another way of describing a translation on a coordinate plane. For example…. An image of shape translated by the vector 3, -2 would have the same image of a shape translated by (x,y)  (x+3, y-2).

  13. SUMMARY:Describing a Translation There are several ways to indicate that a translation is to occur: • Explain the translation from ABCD to A’B’C’D’ in words. • 2. Write the translation rule of ABCD to A’B’C’D’ in vector form. • 3. Write the translation rule for the translation ABCD to A’B’C’D’. The pre-image is shifted to the left 7 units and down 3 units

  14. Lets check! • http://regentsprep.org/regents/math/geometry/GT2/PracT.htm

  15. Let’s check your understanding http://regentsprep.org/regents/math/geometry/GT2/PracTran.htm

More Related