Presentation on theme: "Using Proportional Relationships"— Presentation transcript:
1 Using Proportional Relationships 7-5Using Proportional RelationshipsHolt McDougal GeometryHolt Geometry
2 Warm UpConvert each measurement.1. 6 ft 3 in. to inches2. 5 m 38 cm to centimetersFind the perimeter and area of each polygon.3. square with side length 13 cm4. rectangle with length 5.8 m and width 2.5 m
3 Whenever dimensions are given in both feet and inches, you must convert them to either feet or inches before doing any calculations.Helpful Hint
4 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?
5 A student who is 5 ft 6 in. tall measured shadows to find the height LM of a flagpole. What is LM?
6 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.
7 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?
8 Find the actual distance between City Hall and El Centro College.
9 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?
10 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.
11 Explore dilations further Record observations using a scale factor of 2.CharacteristicsOriginal Triangle ABCNew Triangle A’B’C’ObservationsCoordinatesA(3,5) B(3,2) C(7,2)Angle Measures53ᵒ - 90ᵒ - 37ᵒLength of SidesPerimeterArea
12 Explore dilations further Record observations using a scale factor of 1/2.CharacteristicsOriginal Rectangle ABCDNew Rectangle A’B’C’D’ObservationsCoordinatesA(-2,4), B(-2,-2), C(4,-2), D (4,4)Angle Measures90ᵒ - 90ᵒ -90ᵒ - 90ᵒLength of SidesPerimeterArea
15 Given that ∆LMN:∆QRT, find the perimeter P and area A of ∆QRS.
16 ∆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.
17 m AGF=108GF=14, AD=12DG = 4.5, EF = 8AB = 261. What is the similarity ratio of ABCD to AEFG?2. AG 3. DC4. m ADC 5. BC6. Perimeter of ABCD and AEFG7. Ratio of the Perimeters of ABCD to AEFG8. Ratio of the Areas of ABCD to AEFG
18 Lesson Quiz: Part I1. 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?
19 Lesson Quiz: Part II3. ∆ABC ~ ∆DEF. Find the perimeter and area of ∆ABC.