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Do Now 1/13/12 Take out HW from last night. Take out HW from last night. Measurements of your bedroom (length & width) and at least 4 objects (bed, dresser, desk, etc…) Measurements of your bedroom (length & width) and at least 4 objects (bed, dresser, desk, etc…) Practice worksheet 4.4 & Punchline worksheet # 145. Practice worksheet 4.4 & Punchline worksheet # 145. Copy HW in your planner. Copy HW in your planner. Practice worksheets 4.5 B & C Practice worksheets 4.5 B & C Did you hand in the POTW #6? Did you hand in the POTW #6?
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Homework Practice worksheet 4.4 and Practice B 1) Not similar 1) Not similar 2) Similar 2) Similar 3) Similar 3) Similar 4) Not Similar 4) Not Similar 5) Similar 5) Similar 6) Not Similar 6) Not Similar 1. x = 60 cm 2. x = 44° 3. x =21° 4. x = 12 in. 5. 2.8 feet 6. 16.5 feet
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CHALLENGE PROBLEM HOW CAN YOU USE PROPORTIONS TO HELP MAKE DECISIONS IN ART, DESIGN AND MAGAZINE LAYOUTS?
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QUESTION To fit into the yearbook, Mrs. Leggio needs class photos to be a specific size without distorting or cropping the image. Which ratio is acceptable without distorting the image? Explain your reasoning. 1) 3in by 6 in 2) 4in by 5in 3) 6in by 15 in
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Changing the size
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Objective Lesson Goal: Identify similar figures to find unknown distance or measurements. Lesson Goal: Identify similar figures to find unknown distance or measurements.
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Cross multiply Section 4.5 “Using Similar Figures” Given ABC ~ JKL, find x and y. Angle B corresponds to Angle K y = 103°
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. Given ABCD ~ GHIJ, find HJ. G H IJ AB CD 30 12 x 16 Cross multiply
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C A B b a 32 F D E 20 35 40 Given ABC ~ DEF, find a. Given ABC ~ DEF, find b.
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C A B Y Z X 20 g 25 24 40 f Given ABC ~ XYZ, find g and f.
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Indirect Measurement the method of using proportions to find an unknown length or distance in similar figures
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Indirect Measurements You measure the shadow of a telephone pole to be 24 ft. The shadow of a 5ft-tree is 4 ft. How tall is the telephone pole? S H s h
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Indirect Measurements To estimate the height of the Transco Tower in Houston, TX, you measure its shadow to be about 55m. The shadow of a 50m flagpole is about 10m. Estimate the height of the Transco Tower. S H s h
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City officials want to know the height of a traffic light. Estimate the height of the traffic light. 27.25 15 = 48.75 h Write a proportion. 27.25h = 731.25 The traffic light is about 27 feet tall. 27.25 ft 48.75 ft h ft Cross multiply. h ≈ 27 ftDivide each side by 27.25 to isolate the variable. Indirect Measurements
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What is Your Confidence Level? Get your white board rady!
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