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Translations

Translations. November 29, 2010. When you move the figure without turning it, the motion is a translation. A. A ′. B. C. B ′. C ′. ′ means prime. This is what the transformed image is labeled as with the same letter coordinates. H (-2, -4) I (-1, -1) J (3, -2) K(1,-4).

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Translations

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  1. Translations November 29, 2010

  2. When you move the figure without turning it, the motion is a translation. A A′ B C B′ C′ ′ means prime. This is what the transformed image is labeled as with the same letter coordinates.

  3. H (-2, -4) I (-1, -1) J (3, -2) K(1,-4) Graph the following quadrilateral.

  4. Now, translate quadrilateral HIJK 2 units left and 5 units up.Graph your results.Write the coordinates for the new quadrilateral H′I′J′K′.

  5. Graph triangle TUV. T (6, -3) U (-2, 0) V (-1, 2) Translate triangle TUV 3 units right and 4 units down. Graph the triangle T′ U′ V′.

  6. Graph triangle LMN. L (-1, -2) M (6, -3) N (2, -5) Translate triangle LMN 6 units left and 4 units up. Graph and find the coordinates for triangle L′ M′ N′.

  7. Graph quadrilateral DEGF. D (1, 0) E (-2, -2) F (2, 4) G (6, -3) Find the vertices of D′ E′ F′ G′ after a translation of 4 units right and 5 units down. Graph D′ E′ F′ G′ .

  8. Graph triangle PQR. P (0,0) Q(5, -2) R (-3, 6) Find the vertices of P′ Q′ R′ after a translation of 8 units left, 1 unit down.

  9. Find the new coordinates without graphing the points. Triangle PQR has vertices of P (0, 0) Q (5, -2) and R (-3, 6). What are the coordinates of the image after a translation of 6 units right, 5 units up.

  10. Find the new coordinates without graphing the points. Triangle FGH has vertices F (7, 6), G (3, 4) and H (1, 5). Find the coordinates of F′G′H′ after a translation 1 ½ units left and 3 ½ units down.

  11. 6 units right, 5 units up P (0, 0) → (0 + 6, 0 + 5) → P' (6, 5) Q (5, -2) → (5 +6, -2 +5) → Q' (11, 3) R (-3, 6) → (-3 +6, 6 +5) → R' (3, 11)

  12. The coordinates of a point and its image after a translation are given. Describe the translation in words and as an ordered pair. N (0, -3) → N′ (2, 2) Ask yourself: How do you get from 0 to 2? Then, how do you get from -3 to 2?

  13. 0 → 2 (We are adding two units) When we add to the x coordinate, we move two places to the right. -3 → 2 (We are adding five units) When we add to the y coordinate, we move two places up. The answer is 2 units right and 5 units up OR (2, 5).

  14. The coordinates of a point and its image after a translation are given. Describe the translation in words and as an ordered pair. M (2, 4)→ M′ (-3, 1) P (-2, -1) → P′ (3, -2)

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