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Extra resources for MathMatters 3: An Integrated Program, Reteaching Workbook
Example text
E x a m p l e 1 Graph the image of ᭝ABC under a translation of 8 units up. Solution Step 1: To find the coordinates of the vertices of the image, add 8 to each y-coordinate of the preimage. A(Ϫ6, Ϫ4) ➝ AЈ(Ϫ6, 4) B(Ϫ2, Ϫ2) ➝ BЈ(Ϫ2, 6) C(Ϫ3, Ϫ6) ➝ CЈ(Ϫ3, 2) Step 2: Graph these coordinates and draw the image. E x a m p l e 2 Graph the image of ᭝DEF under a reflection across the y-axis. Solution Step 1: To find the coordinates of the vertices of the image, use the rule (x, y) ➝ (Ϫx, y). D(Ϫ5, 4) ➝ DЈ(5, 4) E(Ϫ2, 5) ➝ EЈ(2, 5) F(Ϫ3, 1) ➝ FЈ(3, 1) Step 2: Graph these coordinates and draw the image.
1 km ϭ 1000 m, so divide by 1000. 2000 Ϭ 1000 ϭ 2, so 2000 m ϭ 2 km. ᮃ EXERCISES Complete. 2. 8 yd ϭ in. 3. 5 lb ϭ oz 5. 256 cups ϭ pt 6. 5 gal ϭ qt mL 8. 1085 g ϭ kg 9. 35 m ϭ cm mg 11. 2 km ϭ m 12. 23 mm ϭ m 1. 132 in. ϭ ft 4. 108 ft ϭ yd 7. 4 L ϭ 10. 8 g ϭ Write each ratio in lowest terms. 13. 3 lb to 54 oz 14. 12 ft to 5 yd 15. 8 qt to 4 gal 16. 5 g to 2 kg 17. 520 mm to 4 m 18. 3 L to 5500 mL © Glencoe/McGraw-Hill 35 MathMatters 3 Name _________________________________________________________ RETEACHING Date ____________________________ 5-2 PERIMETER, CIRCUMFERENCE, AND AREA You can find the perimeter of a polygon by adding the lengths of its sides.
A proportion is an equation stating that two ratios are equivalent. Cross-products of a proportion are equal. Use them to find the missing term in a proportion. a : b ϭ c : d → ᎏaᎏ ϭ ᎏcᎏ → ad ϭ bc b d E x a m p l e 1 E x a m p l e Solve the proportion by finding x. x ϭ ᎏ5ᎏ ᎏ 2ᎏ 1 35 2 A pattern calls for black tiles and white tiles in the ratio of 4 : 5. How many white tiles are needed if 200 black tiles are used? Solution Use cross-products to write another equation. Then solve for x. 35x ϭ 5(21) Find cross-products.