In exercises 3134 you are using a magnifying glass

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Elementary Geometry for College Students
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Chapter 2 / Exercise 30
Elementary Geometry for College Students
Alexander/Koeberlein
Expert Verified
In Exercises 31–34, you are using a magnifying glass. Use the length of the insect and the magnification level to determine the length of the image seen through the magnifying glass.(See Example 6.)31. emperor moth 32. ladybugMagnification: 5×Magnification: 10×60 mm4.5 mm33. dragonfly 34. carpenter antMagnification: 20×Magnification: 15×47 mm12 mm12 mm35. ANALYZING RELATIONSHIPS Use the given actual and magnified lengths to determine which of the following insects were looked at using the same magnifying glass. Explain your reasoning.grasshopper black beetleActual: 2 in. Actual: 0.6 in.Magnified: 15 in. Magnified: 4.2 in.honeybee monarch butterflyActual: 58in. Actual: 3.9 in. Magnified: 7516in. Magnified: 29.25 in.36. THOUGHT PROVOKING Draw ABCand ABCthat ABCis a dilation of ABC. Find the center of dilation and explain how you found it.37. REASONING Your friend prints a 4-inch by 6-inch photo for you from the school dance. All you have is an 8-inch by 10-inch frame. Can you dilate the photo to fit the frame? Explain your reasoning.so CPP123xy446P(4, 2)P(2, 1)4212
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Elementary Geometry for College Students
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Chapter 2 / Exercise 30
Elementary Geometry for College Students
Alexander/Koeberlein
Expert Verified
21438. HOW DO YOU SEE IT? Point Cis the center of dilation of the images. The scale factor is 13. Which figure is the original figure? Which figure is the dilated figure? Explain your reasoning.C39. MATHEMATICAL CONNECTIONS The larger triangle is a dilation of the smaller triangle. Find the values of xand yC26x+12x+8(3y34)°(y+16)°40. WRITING Explain why a scale factor of 2 is the same as 200%.In Exercises 41– 44, determine whether the dilated figure or the original figure is closer to the center of dilation. Use the given location of the center of dilation and scale factor k41. Center of dilation: inside the figure; k=42. Center of dilation: inside the figure; k=143. Center of dilation: outside the figure; k=120%44. Center of dilation: outside the figure; k=0.145. ANALYZING RELATIONSHIPS Dilate the line through O(0, 0) and A(1, 2) using a scale factor of 2.a. What do you notice about the lengths of OAand OAb. What do you notice about OAand ⃖ ⃗OA46. ANALYZING RELATIONSHIPS Dilate the line through A(0, 1) and B(1, 2) using a scale factor of 12a. What do you notice about the lengths of ABand ABb. What do you notice about ABand ⃖ ⃗AB47. ATTENDING TO PRECISION You are making a blueprint of your house. You measure the lengths of the walls of your room to be 11 feet by 12 feet. When you draw your room on the blueprint, the lengths of the walls are 8.25 inches by 9 inches. What scale factor dilates your room to the blueprint?48. MAKING AN ARGUMENT Your friend claims that dilating a figure by 1 is the same as dilating a figure by 1 because the original figure will not be enlarged or reduced. Is your friend correct? Explain your reasoning.49. USING STRUCTURE Rectangle WXYZhas vertices W(3, 1), X(3, 3), Y(5, 3), and Z(5, a. Find the perimeter and area of the rectangle.b. Dilate the rectangle using a scale factor of 3. Find the perimeter and area of the dilated rectangle. Chapter 4Transformations..32??.??1).

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