1 / 5

EXAMPLE 1

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

niesha
Download Presentation

EXAMPLE 1

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. EXAMPLE 1 Translate a figure in the coordinate plane Graph quadrilateral ABCD with vertices A(–1, 2), B(–1, 5), C(4, 6), and D(4, 2). Find the image of each vertex after the translation (x, y) →(x + 3, y – 1).Then graph the image using prime notation. SOLUTION First, draw ABCD. Find the translation of each vertex by adding 3 to its x-coordinate and subtracting 1 from its y-coordinate. Then graph the image.

  2. EXAMPLE 1 Translate a figure in the coordinate plane Graph quadrilateral ABCD with vertices A(–1, 2), B(–1, 5), C(4, 6), and D(4, 2). Find the image of each vertex after the translation (x, y) →(x + 3, y – 1).Then graph the image using prime notation. (x, y) → (x + 3, y – 1) A(–1, 2) → A′(2, 1) B(–1, 5) → B′(2, 4) C(4, 6) → C′(7, 5) D(4, 2) → D′(7, 1)

  3. First, draw . Find the translation of each vertex by adding 1 to its x-coordinate and adding 2 to its y-coordinate. Then graph the image. RST for Example 1 GUIDED PRACTICE 1. Draw RST with vertices R(2, 2), S(5, 2), and T(3, 5). Find the image of each vertex after the translation (x, y) → (x + 1, y + 2). Graph the image using prime notation. SOLUTION

  4. y T R S x ′ ′ ′ T R S for Example 1 GUIDED PRACTICE Graph triangle RST with vertices R(2, 2), S(5, 2), T(3, 5). Find the image of each vertex after the translation (x, y) →(x + 1, y + 2).Then graph the image using prime notation. (x, y) → (x + 1, y + 2) R(2, 2) → R′(3, 4) S(5, 2) → S′(6, 4) T(3, 5) → T′(4, 7)

  5. 2. The image of (x, y) → (x + 4, y – 7) is P′Q′ with endpoints P′(–3, 4) and Q′(2, 1). Find the coordinates of the endpoints of the preimage. – P'( 3, 4) → P(– 7, 11) Q'(2, 1) → Q(– 2, 8) for Example 1 GUIDED PRACTICE SOLUTION

More Related