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Lesson 4 Ex1

VOLUME A bathtub is being filled with water. After 4 minutes, of the bathtub is filled. How much longer will it take to completely fill the bathtub, assuming the water rate is constant?.

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Lesson 4 Ex1

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  1. VOLUME A bathtub is being filled with water. After 4minutes, of the bathtub is filled. How much longerwill it take to completely fill the bathtub, assumingthe water rate is constant? Explore After 4 minutes, the bathtub is of the wayfilled. How many more minutes will it take tofill the bathtub? Draw a Diagram Plan Draw a diagram showing the water level after every 4 minutes. Lesson 4 Ex1

  2. Draw a Diagram SolveThe bathtub will be filled after five 4-minute periods. This is a total of 5 × 4 or 20 minutes. Lesson 4 Ex1

  3. Draw a Diagram CheckThe questions asks how much longer will it take to completely fill the bathtub after the initial 4 minutes. Since the total time needed is 20 minutes, it will take 20 – 4 or 16 more minutes to completely fill the bathtub. Lesson 4 Ex1

  4. VOLUME A swimming pool is being filled with water.After 3 hours, of the pool is filled. How much longer will it take to completely fill the swimming poolassuming the water rate is constant? • A • B • C • D A. 8 hours B. 9 hours C. 10 hours D. 12 hours Lesson 4 CYP1

  5. Identify similar polygons and find missing measures of similar polygons. • polygon • similar • corresponding parts • congruent • scale factor Lesson 5 MI/Vocab

  6. BrainPop:Similar Triangles Lesson 5 Key Concept 1

  7. Identify Similar Polygons Determine whether triangle DEF is similar to triangle HJK. Explain your reasoning. Lesson 5 Ex1

  8. Identify Similar Polygons Next, check to see if corresponding sides are proportional. Answer: Lesson 5 Ex1

  9. Determine whether triangle ABC is similar to triangle TRI. • A • B A. yes B. no Lesson 5 CYP1

  10. The missing measure m is the length of NO. Write a proportion involving NO that relates corresponding sides of the two rectangles. Finding Missing Measures Given that rectangle LMNO ~ rectangle GHIJ, find n. Method 1 Write a proportion. Lesson 5 Ex2

  11. rectangle GHIJ rectangle GHIJ rectangle LMNO rectangle LMNO Finding Missing Measures GJ = 2, LO = 3, IJ = 4, and NO = m Find the cross products. Multiply. Divide each side by 2. Lesson 5 Ex2

  12. A length on rectangle GHIJ is times as long as a corresponding length on rectangle LMNO. Let m represent the measure of NO. Finding Missing Measures Method 2 Use the scale factor to write an equation. Find the scale factor from rectangle GHIJ to rectangle LMNO by finding the ratio of corresponding sides with known lengths. The scale factor is the constant of proportionality. Words Variable Equation Lesson 5 Ex2

  13. Multiply each side by Finding Missing Measures Write the equation. Simplify. Answer: The measure is 6. Lesson 5 Ex2

  14. Given that rectangle ABCD ~ rectangle WXYZ, find m. • A • B • C • D A. 12 B. 15 C. 16 D. 18 Lesson 5 CYP2

  15. Lesson 5 Key Concept 2

  16. TEST EXAMPLEA polygon has sides 2.5 times as long as a similar polygon. The smaller polygon has a perimeter of 42 inches. What is the perimeter of the larger polygon? A16.8 in.B45 in.C84 in.D105 in. Read the Test ItemSince each side of the larger polygon is 2.5 times as long as the corresponding sides of the smaller polygon, the scale factor from the smaller polygon to the larger polygon is Scale Factor and Perimeter Lesson 5 Ex3

  17. larger perimeter smaller perimeter Scale Factor and Perimeter Solve the Test Item Let x represent the perimeter of the larger polygon. The ratio of the perimeters is equal to the ratio of the sides. Scale factor relating sides Find the cross products. Multiply. Then divide each side by 2. Simplify. Answer: D Lesson 5 Ex3

  18. MULTIPLE-CHOICE TEST ITEMA polygon has sides 3.5 times as long as a similar polygon. The larger polygon has a perimeter of 77 inches. What is the perimeter of the smaller polygon? • A • B • C • D A. 22 in. B. 34 in. C. 72 in. D. 269.5 in. Lesson 5 CYP3

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