SlideServe
Télécharger Obtenir Pro
Menu
Accueil Pro
Préférences
ApparenceLight Aide et commentaires
© SlideServe · v2026

Transformations: Dilation

lerato avatar
lerato
13 diapositives · 930 Views · Aug 06, 2014

Transformations: Dilation. Unit 4.04. Vocabulary. Dilation: A transformation in which a figure is made larger or smaller with respect to a point called the center of dilation. Example: The red polygon has been Dilated (made larger) to form the blue polygon. Vocabulary.

#transformations: dilation #transformations: dilation ppt #powerpoint #presentation
Transformations: Dilation - slide 1
01 / 13Transformations: Dilation
1 / 17

Télécharger la présentation

Transformations: Dilation
Une image / un lien ci-dessous est fourni (tel quel) pour télécharger la présentation

Politique de téléchargement : le contenu du site vous est fourni TEL QUEL pour votre information et votre usage personnel ; il ne peut être vendu, concédé sous licence ni partagé sur d’autres sites sans l’accord de son auteur.Le contenu vous est fourni TEL QUEL, pour votre information et votre usage personnel uniquement. Téléchargez la présentation en cliquant sur ce lien. Lors du téléchargement, si vous ne parvenez pas à télécharger une présentation, l’éditeur a peut-être supprimé le fichier de son serveur.Pendant le téléchargement, si vous ne parvenez pas à obtenir une présentation, le fichier a peut-être été supprimé par l’éditeur.

F I N

Plus de contenu associé

Transcription de la présentation

  1. Transformations: Dilation Unit 4.04

  2. Vocabulary • Dilation: A transformation in which a figure is made larger or smaller with respect to a point called the center of dilation. • Example: The red polygon has been Dilated (made larger) to form the blue polygon.

  3. Vocabulary • Center of Dilation: The point from which a figure is dilated. When graphed on the Cartesian Plane, the Origin is often the Center of Dilation. • Example: Here, the Origin (0, 0) is the Center of Dilation. Center of Dilation (0, 0)

  4. Vocabulary • Scale Factor: In a dilation, the original figure and dilated image are similar. The ratio that compares the one with the other is called the Scale Factor and is called k. • Example: The blue square is twice the size of the redsquare. If red blue, then what is the scale factor? k = 2 k = ½ What if blue red?

  5. Vocabulary • Dilation on the Cartesian Plane: To dilate a figure in respect to the origin, multiply the coordinates of each vertex by the scale factor, k.

  6. Vocabulary • Dilation on the Cartesian Plane: To dilate a figure in respect to the origin, multiply the coordinates of each vertex by the scale factor, k. • Transformation Notation of Dilations: (x, y)  (kx, ky) • Classifying a Dilation by the Scale Factor: • When k > 1, the dilation is an enlargement • When 0 < k < 1, the dilation is a reduction

  7. Vocabulary • Example 1: Dilate ΔABC by the scale factor, k = 3, then classify it.

  8. Vocabulary • Example 2: Dilate Rectangle WXYZ by the scale factor, k = ½ (or 0.5), then classify it.

  9. You Try It!

  10. 1) Dilate ΔABC by a scale factor, k = 2, then classify it. (1,3) A: _____________ B: _____________ C: ____________ A’: ____________ B’: ____________ C’: ____________ (4,0) A’ A (-3,-2) B (2,6) B’ C C’ (8,0) (-6,-4)

  11. Dilate ΔXYZ by a scale factor, k = 1/3, then classify it. 2) (3,9) X: _____________ Y: _____________ Z: _____________ X’: ____________ Y’: ____________ Z’: ____________ X (9,0) X’ (-3,-3) Y Y’ (1,3) Z’ Z (3,0) (-1,-1)

  12. 3) Dilate ΔJKL by a scale factor, k= 2. Then translate it down 5 and to the right 5 units. (2,1) (-5,3) (-1,-2) J: ____________ K: ____________ L: ____________ (-2,-4) J’: ____________ K’: ____________ L’: ____________ J’’: ___________ K’’: ___________ L’’: ____________ L’ (4,2) (-10,6) L K’ K L’’ (3,-9) K’’ J (9,-3) J’ (-5,1) J’’

  13. Homework Time  Scale It! -- Dilations WS