12-2 Translations A translation is a slide that

12-2 Translations A translation is a slide that

12-2 Translations A translation is a slide that takes place along a vector. The mapping rules are written as any ONE of the following: Translation Rule: Arrow Notation: Component Form: Holt Geometry Ta,b (x,y)(x+a, y+b) a, b 12-2 Translations

The symbol for a vector is Holt Geometry 12-2 Translations The horizontal movement from J to K is a positive 3 (to the right). 4 3 The vertical movement from J to K is a positive 4 (upwards). Therefore, the component form of this translation is: JK

Holt Geometry 3, 4 12-2 Translations Holt Geometry 12-2 Translations Postulate: A translation is a Rigid Motion Image Preimage

(Isometry) Holt Geometry 12-2 Translations Rigid Motion (Isometry) A rigid motion preserves length and angle measure. A rigid motion maps lines to lines, rays to rays and segments to segments. The image has the same size and shape as the preimage. Holt Geometry 12-2 Translations

Example 1: Identifying Translations Tell whether each transformation appears to be a translation. Explain. A. No; the figure appears to be a reflection. Holt Geometry B. Yes; the figure appears to slide. 12-2 Translations

Example 2: Identifying Translations Tell whether each transformation appears to be a translation. a. Yes; all of the points have moved the same distance in the same direction. Holt Geometry b. No; not all of the points have moved the same distance.

12-2 Translations Example 3 Translate the quadrilateral with vertices R(2, 5), S(0, 2), T(1,1), and U(3, 1) using the vector -3,-3. R The image of (x, y) is (x 3, y 3). R(2, 5) R(1, 2) S(0, 2) S(3, 1)

T(1, 1) U(3, 1) Holt Geometry R S U S U T(2, 4) U(0, 2) T T 12-2 Translations

, in all 3 ways. A ( 4, 3) A ( 0, 4) B ( 7, 1) B ( 3, 2) C ( 4, 1) C ( 0, 2) The rule mapping ABC onto ABC is: (x, y) ( x 4, y + 1) or

T -4, 1 or -4, 1 Holt Geometry 12-2 Translations Example 4 A transformation maps P(x,y) onto P(x-4,y+2). Under the same transformation, what are the

coordinates of Q, the image of Q(2, -3)? Q(2-4,-3+2) = Q(-2,-1) Holt Geometry 12-2 Translations Example 5 If the coordinates of the vertices of DEF are D(3, 1), E(5, 3), and F(2, 2), what is the image of DEF under the transformation T3,-1? The image of (x, y) is (x + 3, y 1). D(3, 1) E(5, 3)

F(2, 2) Holt Geometry D(0, 2) E(8, 4) F (1, 3)

Recently Viewed Presentations

  • www.effinghamschools.com

    www.effinghamschools.com

    *It may only be a few words and they might NOT be right next to each other (cotton cove /Fisher hunt feeds tales for camp­fire) *It is not . repetition-must be different words ("Oh, woeful, oh woeful, woeful, woeful day!--Shakespeare,...
  • Poetry Terms to Know - WordPress.com

    Poetry Terms to Know - WordPress.com

    Poetry Terms to Know Poetry Unit 2013 Rhyme Scheme the arrangement of lines in a poem or stanza Usually shown with descending letters of the alphabet (a, b, a, b, c, c) Rhyme Scheme Example There once was a big...
  • CMSC 331 - ecology lab

    CMSC 331 - ecology lab

    My Pet Peeves. Student that is lost, but doesn't tell me. Student that asks (begs) to turn something in late. Showing up late. First 15 minutes is usually the most important
  • Texercise Select: Building an Evidence-Based Program in your

    Texercise Select: Building an Evidence-Based Program in your

    Exercises focus on improving endurance, strength, balance and flexibility. Warm-up/ Study Methods. Participants completed assessments at baseline and the 10-week follow-up . Multiple domains assessed including physical activity, eating behaviors, physical functioning, and quality of life with ...
  • Surface Water Essentials: PowerPoint Part 2 of 3

    Surface Water Essentials: PowerPoint Part 2 of 3

    Or, once you know the time T from the tracer study, you can back-calculate to determine the baffling factor of the clearwell Baffling factor (%) = Time (min) x Flow During Tracer Study (gpm) Clearwell Volume During Tracer Study (gal)...
  • The Science Reporter

    The Science Reporter

    Many different people live in Canada. Some of them are native tribal people. One of these tribes is the Nisga Tribe.Watch this video and find 3 facts about how the Nisga people of Canada live. Write them on your fact...
  • Senior Class Meeting Agenda - Assumption High School

    Senior Class Meeting Agenda - Assumption High School

    It is the policy of the Assumption High School Board of Education that tuition for graduates will be charged on the basis of four years of studies. If a student elects to graduate in fewer than four years, he or...
  • Leukaemia - Imperial College Union

    Leukaemia - Imperial College Union

    Lamellipodia-sheet like protrusions rich in actin filaments. Branched and cross-linked . Filopodia - finger-like projections rich in actin filaments . Bundle of parallel filaments. Actin filaments have a polarity - there is a plus end and minus end on which...