1 / 13

Geometry

Geometry. Lesson 4 – 7 Congruence Transformations. Objective: Identify reflections, translations, and rotations. Verify congruence after a congruence transformation. Transformations. Transformations – An operation that maps an original figure ( preimage ) onto a new figure ( image ).

kspangler
Télécharger la présentation

Geometry

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. Geometry Lesson 4 – 7 Congruence Transformations Objective: Identify reflections, translations, and rotations. Verify congruence after a congruence transformation.

  2. Transformations • Transformations – • An operation that maps an original figure (preimage) onto a new figure (image).

  3. Congruence Transformations • AKA rigid transformations • AKA isometric (isometry) • The position of the image may differ from that of the preimage, but the two figures remain congruent.

  4. Types of Congruence Transformations • Reflection • A transformation over a line called the line of reflection. A flip over a line.

  5. Types of Congruence Transformations • Translation • A transformation that moves all points of the original figure the same distance in the same direction. A slide of the points

  6. Types of Congruence Transformations • Rotation • A transformation around a fixed point called the center of rotation. Each point of the original figure and it image are the same distance from the center. A turn about a point.

  7. Identify the type of congruence transformation shown as a reflection, translation, or rotation. Rotation Reflection Translation

  8. Identify the type of congruence transformation shown as a reflection, translation, or rotation. Translation Rotation Reflection

  9. Identify the type of congruence transformation shown in the diagram as a reflection, translation, or rotation. Rotation

  10. Identify the type of congruence transformation shown in the diagram as a reflection, translation, or rotation. Translation Reflection

  11. Verify Congruence after Transformation • Triangle XZY with vertices X (2, -8), Z (6, -7), and Y(4, -2) is a transformation of Triangle ABC with vertices A (2, 8), B (6, 7), and C (4, 2). Graph the original figure and its image. Identify the transformation and verify that it is a congruence transformation. Reflection Cont…

  12. Verify the triangles are congruent • Since no angles are known we will prove congruence by SSS.

  13. Homework • Pg. 297 1 – 6 all, 8 – 28 E, 32, 38 – 42 E, 46 – 50 E

More Related