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# 8.7 translations and rotations 3

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### 8.7 translations and rotations 3

1. 1. Lesson 8.8 , For use with pages 447-454 1. length of CD Quadrilateral ABCD quadrilateral RSTU . Find the given measures. ~ = 6 m 5 m 70º 8 m 85º A B C D T U S R 2. m D
2. 2. Lesson 8.8 , For use with pages 447-454 ANSWER 8 m 1. length of CD Quadrilateral ABCD quadrilateral RSTU . Find the given measures. ~ = 6 m 5 m 70º 8 m 85º A B C D T U S R ANSWER 85º 2. m D
3. 3. Translations and Rotations Section 8.7 P. 439 - 443
4. 4. Essential Questions <ul><li>What are the similarities and differences among transformations? </li></ul><ul><li>How are the principles of transformational geometry used in art, architecture and fashion? </li></ul><ul><li>What are the applications for transformations? </li></ul>
5. 5. EXAMPLE 2 Rotating 90 Clockwise SOLUTION Rotate quadrilateral FGHJ 90 clockwise. Original Image ( x , y ) F (2, 2) G (2, 4) H (4, 4) J (5, 2) ( x , – y ) F’ (2, –2) G’ (4, –2) H’ (4, –4) J’ (2, –5)
6. 6. EXAMPLE 2 Rotating 90 Clockwise SOLUTION Rotate quadrilateral FGHJ 90 clockwise. Original Image ( x , y ) F (2, 2) G (2, 4) H (4, 4) J (5, 2) ( x , – y ) F’ (2, –2) G’ (4, –2) H’ (4, –4) J’ (2, –5)
7. 7. 1. RST has vertices R ( – 1, 4) , S (3, 4) , and T (2, – 3) . Find the vertices of its image after the translation ( x , y ) -> ( x – 4 , y + 5 ). ∆ ANSWER R' (–5, 9), S' (–1, 9), T' (–2, 2)
8. 8. Homework <ul><li>Worksheet 8.7 AND page 443 #20-25 </li></ul>