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**Using Proportional Relationships**

7-5 Using Proportional Relationships Holt McDougal Geometry Holt Geometry

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Warm Up Convert each measurement. 1. 6 ft 3 in. to inches 2. 5 m 38 cm to centimeters Find the perimeter and area of each polygon. 3. square with side length 13 cm 4. rectangle with length 5.8 m and width 2.5 m

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Whenever dimensions are given in both feet and inches, you must convert them to either feet or inches before doing any calculations. Helpful Hint

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**Tyler wants to find the height of a telephone pole**

Tyler wants to find the height of a telephone pole. He measured the pole’s shadow and his own shadow and then made a diagram. What is the height h of the pole?

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**A student who is 5 ft 6 in. tall measured shadows to find the height LM of a flagpole. What is LM?**

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**A scale drawing represents an object as smaller than or larger than its actual size.**

The drawing’s scale is the ratio of any length in the drawing to the corresponding actual length. For example, on a map with a scale of 1 cm:1500 m, one centimeter on the map represents 1500 m in actual distance.

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**On a Wisconsin road map, Kristin measured a distance of 11 in**

On a Wisconsin road map, Kristin measured a distance of 11 in. from Madison to Wausau. The scale of this map is 1inch:13 miles. What is the actual distance between Madison and Wausau to the nearest mile?

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**Find the actual distance between City Hall and El Centro College.**

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**Lady Liberty holds a tablet in her left hand. The tablet is 7**

Lady Liberty holds a tablet in her left hand. The tablet is 7.19 m long and 4.14 m wide. If you made a scale drawing using the scale 1 cm:0.75 m, what would be the dimensions to the nearest tenth?

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The rectangular central chamber of the Lincoln Memorial is 74 ft long and 60 ft wide. Make a scale drawing of the floor of the chamber using a scale of 1 in.:20 ft.

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**Explore dilations further **

Record observations using a scale factor of 2. Characteristics Original Triangle ABC New Triangle A’B’C’ Observations Coordinates A(3,5) B(3,2) C(7,2) Angle Measures 53ᵒ - 90ᵒ - 37ᵒ Length of Sides Perimeter Area

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**Explore dilations further **

Record observations using a scale factor of 1/2. Characteristics Original Rectangle ABCD New Rectangle A’B’C’D’ Observations Coordinates A(-2,4), B(-2,-2), C(4,-2), D (4,4) Angle Measures 90ᵒ - 90ᵒ -90ᵒ - 90ᵒ Length of Sides Perimeter Area

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**Given that ∆LMN:∆QRT, find the perimeter P and area A of ∆QRS.**

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**∆ABC ~ ∆DEF, BC = 4 mm, and EF = 12 mm**

∆ABC ~ ∆DEF, BC = 4 mm, and EF = 12 mm. If P = 42 mm and A = 96 mm2 for ∆DEF, find the perimeter and area of ∆ABC.

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m AGF=108 GF=14, AD=12 DG = 4.5, EF = 8 AB = 26 1. What is the similarity ratio of ABCD to AEFG? 2. AG 3. DC 4. m ADC 5. BC 6. Perimeter of ABCD and AEFG 7. Ratio of the Perimeters of ABCD to AEFG 8. Ratio of the Areas of ABCD to AEFG

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Lesson Quiz: Part I 1. Maria is 4 ft 2 in. tall. To find the height of a flagpole, she measured her shadow and the pole’s shadow. What is the height h of the flagpole? 2. A blueprint for Latisha’s bedroom uses a scale of 1 in.:4 ft. Her bedroom on the blueprint is 3 in. long. How long is the actual room?

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Lesson Quiz: Part II 3. ∆ABC ~ ∆DEF. Find the perimeter and area of ∆ABC.

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