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The ratio of the measures of the angles is 5 7 8 15 BRIDGES The span of the Benjamin Franklin suspension bridge in Philadelphia Pennsylvania is 1750 feet A model of the bridge has a span of 42 inches What is the ratio of the span of the model to the span of the actual Benjamin Franklin Bridge Practice Proportions NAME DATE PERIOD 6 1 Skills Practice Similar Polygons

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NAME DATE PERIOD,6 2 Skills Practice,Similar Polygons. Determine whether each pair of figures is similar Justify your answer. 9 6 P 3 Q 7 5,59 35 3 7 5,Lesson 6 2, Each pair of polygons is similar Write a similarity statement and find x the. measure s of the indicated side s and the scale factor. A 14 D W T,13 4 4 S 9,F 13 G Y X,5 U V L P S,Glencoe McGraw Hill 303 Glencoe Geometry. NAME DATE PERIOD,6 3 Practice,Similar Triangles, Determine whether each pair of triangles is similar Justify your answer. 1 J 16 2 M 14,18 16 12 5, ALGEBRA Identify the similar triangles and find x and the measures of the.

indicated sides,Use the given information to find each measure. TS 6 PS x 7 H,6 If E I EF 3 EG x 1,QR 8 and SR x 1 HI 4 and HG x 3. find PS and PR find EG and HG, INDIRECT MEASUREMENT For Exercises 7 and 8 use the following information. A lighthouse casts a 128 foot shadow A nearby lamppost that measures 5 feet 3 inches casts. an 8 foot shadow, 7 Write a proportion that can be used to determine the height of the lighthouse. 8 What is the height of the lighthouse,Glencoe McGraw Hill 310 Glencoe Geometry.

NAME DATE PERIOD,6 4 Skills Practice,Parallel Lines and Proportional Parts. 1 If JK 7 KH 21 and JL 6 2 Find x and TV if RU 8 US 14. find LI TV x 1 and VS 17 5,Determine whether B D,3 AD 15 DB 12 AE 10 and EC 8. 4 BD 9 BA 27 and CE is one third of EA,5 AE 30 AC 45 and AD is twice DB. COORDINATE GEOMETRY For Exercises 6 8 use the y B,following information. Triangle ABC has vertices A 5 2 B 1 8 and C 4 2 Point D D. is the midpoint of A and E is the midpoint of A,6 Identify the coordinates of D and E.

7 Show that B is parallel to D,Lesson 6 4,8 Show that DE BC. 9 Find x and y 10 Find x and y,Glencoe McGraw Hill 315 Glencoe Geometry. NAME DATE PERIOD,6 5 Practice,Parts of Similar Triangles. Find the perimeter of the given triangle,1 DEF if ABC DEF AB 36 2 STU if STU KLM KL 12. BC 20 CA 40 and DE 35 LM 31 MK 32 and US 28,Use the given information to find each measure.

3 Find PR if JKL NPR K M,is an 4 Find ZY if STU XYZ U A is an. altitude of JKL P,is an altitude of altitude of STU Z. is an altitude of,NPR KL 28 KM 18 and XYZ UT 8 5 UA 6 and. PT 15 75 ZB 11 4,J L N R S A X B, PHOTOGRAPHY For Exercises 7 and 8 use the following information. Francine has a camera in which the distance from the lens to the film is 24 millimeters. 7 If Francine takes a full length photograph of her friend from a distance of 3 meters and. the height of her friend is 140 centimeters what will be the height of the image on the. film Hint Convert to the same unit of measure, 8 Suppose the height of the image on the film of her friend is 15 millimeters If Francine.

took a full length shot what was the distance between the camera and her friend. Glencoe McGraw Hill 322 Glencoe Geometry,NAME DATE PERIOD. 6 6 Skills Practice,Fractals and Self Similarity, Stages 1 and 2 of a fractal known as the Cantor set are shown To get Stage 2 the. Lesson 6 6, segment in Stage 1 is trisected and the interior of the middle segment is removed. The interior of a segment is the segment with its endpoints removed The. process is repeated for subsequent stages,1 Draw stages 3 and 4 of the Cantor set. 2 How many segments are there in Stage 3 Stage 4, 3 What happens to the length of the line segments in each stage.

4 The Cantor set is the set of points after infinitely many iterations Is the Cantor set. self similar, Find the value of each expression Then use that value as the next x in the. expression Repeat the process three times and describe your observations. 5 2x 3 where x initially equals 5,6 where x initially equals 1. Find the first three iterates of each expression, 7 x2 1 where x initially equals 2 8 where x initially equals 8. Glencoe McGraw Hill 327 Glencoe Geometry,NAME DATE PERIOD NAME DATE PERIOD. 6 1 Skills Practice 6 1 Practice Average,Proportions Proportions.

1 FOOTBALL A tight end scored 6 touchdowns in 14 games Find the ratio of touchdowns 1 NUTRITION One ounce of cheddar cheese contains 9 grams of fat Six of the grams of fat. per game are saturated fats Find the ratio of saturated fats to total fat in an ounce of cheese. 0 43 1 2 3,Glencoe McGraw Hill, 2 EDUCATION In a schedule of 6 classes Marta has 2 elective classes What is the ratio 2 FARMING The ratio of goats to sheep at a university research farm is 4 7 The number. of elective to non elective classes in Marta s schedule of sheep at the farm is 28 What is the number of goats. 3 BIOLOGY Out of 274 listed species of birds in the United States 78 species made the 3 ART Edward Hopper s oil on canvas painting Nighthawks has a length of 60 inches and. endangered list Find the ratio of endangered species of birds to listed species in the a width of 30 inches A print of the original has a length of 2 5 inches What is the width. United States of the print,39 1 25 in,Lesson 6 1, 4 ART An artist in Portland Oregon makes bronze sculptures of dogs The ratio of the Solve each proportion. height of a sculpture to the actual height of the dog is 2 3 If the height of the sculpture. 5 x x 1 6x 4,is 14 inches find the height of the dog 4 7 5. x 2 8 2 3x 5 5 5 x 2 x 4, 5 SCHOOL The ratio of male students to female students in the drama club at Campbell 3 9 3 4 7 7 4 2. High School is 3 4 If the number of male students in the club is 18 what is the number. of female students,Find the measures of the sides of each triangle.

10 The ratio of the measures of the sides of a triangle is 3 4 6 and its perimeter is 104 feet. 24 ft 32 ft 48 ft,Solve each proportion, 2 x 7 21 20 4x 11 The ratio of the measures of the sides of a triangle is 7 9 12 and its perimeter is 84 inches. 6 16 7 30 8 6,5 40 10 x 5 6,21 in 27 in 36 in,Lesson 6 1. 5x 35 x 1 7 15 x 3, 9 3 5 10 9 5 11 28 12 The ratio of the measures of the sides of a triangle is 6 7 9 and its perimeter is. 4 8 3 2 3 5,77 centimeters,Find the measures of the sides of each triangle. 21 cm 24 5 cm 31 5 cm, 12 The ratio of the measures of the sides of a triangle is 3 5 7 and its perimeter is.

Find the measures of the angles in each triangle,450 centimeters. 90 cm 150 cm 210 cm 13 The ratio of the measures of the angles is 4 5 6. 13 The ratio of the measures of the sides of a triangle is 5 6 9 and its perimeter is 220 meters. 55 m 66 m 99 m, 14 The ratio of the measures of the angles is 5 7 8. 14 The ratio of the measures of the sides of a triangle is 4 6 8 and its perimeter is 126 feet 45 63 72. 28 ft 42 ft 56 ft, 15 BRIDGES The span of the Benjamin Franklin suspension bridge in Philadelphia. 15 The ratio of the measures of the sides of a triangle is 5 7 8 and its perimeter is 40 inches Pennsylvania is 1750 feet A model of the bridge has a span of 42 inches What is the. 10 in 14 in 16 in ratio of the span of the model to the span of the actual Benjamin Franklin Bridge 1. Glencoe McGraw Hill 297 Glencoe Geometry Glencoe McGraw Hill 298 Glencoe Geometry. Glencoe Geometry,NAME DATE PERIOD NAME DATE PERIOD. 6 2 Skills Practice 6 2 Practice Average,Similar Polygons Similar Polygons.

Determine whether each pair of figures is similar Justify your answer Determine whether each pair of figures is similar Justify your answer. 2 W 7 5 X 1 15 2 T,9 6 P 3 Q 7 5 P 14 4,6 4 3 24 18 21. Glencoe McGraw Hill,35 3 7 5 20 S 14 16,D 59 F S 15. 35 7 3 R 9,A 59 C Z 7 5 C A U,10 5 Y M J Q R V,25 12 12 24. ABC DEF A D rhombus PQRS rhombus WXYZ,JKLM QRSP ABC UVT A U. C F and B E P W Q X R Y,J Q K R B V and C T by the.

because if two angles of one S Z,L S M P and Third Angle Theorem and. triangle are congruent to two PQ QR RS SP 3,0 4 JK KL LM MJ 5 AB BC CA 2. angles of a second triangle then WX XY YZ ZW 7 5 or 1 67. QR RS SP PQ 3,UV VT TU 3,the third angles are congruent. AB BC CA 3, DE EF FD 2 Each pair of polygons is similar Write a similarity statement and find x the. measure s of indicated side s and the scale factor. Each pair of polygons is similar Write a similarity statement and find x the 3 L. measure s of indicated side s and the scale factor D C x 6 E. 10 x 9 6 12 F,Lesson 6 2,A 14 D T 14 P L B C,13 4 4 S 9 ABCD LMNP ABC DEF.

F 13 G Y X 3 1 1 4 3,B 26 C U 10 7 7 4 8,ABCD EFGH WXY STU or SUT. 6 6 2 7 12 12,Lesson 6 2, 2 2 3 5 COORDINATE GEOMETRY Triangle ABC has vertices A 0 0 B 4 0 and C 2 4. The coordinates of each vertex are multiplied by 3 to create AEF Show that AEF is. similar to ABC,AB 4 BC CA 2 5,and AE 12 EF FA 6 5,S T AB BC CA 1. T W M N A A and since B,x 1 AE EF FA 3, C F Since the corresponding angles are congruent and the. 5 U V L P S, 10 x 2 corresponding sides are proportional ABC AEF.

PQRS UVWT LMN TSP, 3 2 6 INTERIOR DESIGN Graham used the scale drawing of his living. 5 6 13 12 15, 2 3 room to decide where to place furniture Find the dimensions of the 21 2 in. living room if the scale in the drawing is 1 inch 4 5 feet. 18 ft by 11 ft 3 in 4 in, Glencoe McGraw Hill 303 Glencoe Geometry Glencoe McGraw Hill 304 Glencoe Geometry. Glencoe Geometry,NAME DATE PERIOD NAME DATE PERIOD. 6 3 Skills Practice 6 3 Practice Average,Similar Triangles Similar Triangles.

Determine whether each pair of triangles is similar Justify your answer Determine whether each pair of triangles is similar Justify your answer. 1 Y 2 B 9 1 J 16 2 M 14,T R Q Y S S R,9 9 18 16 12 5. Glencoe McGraw Hill,14 20 12 42 W, No the sides are not proportional yes ABC PQR or QPR. SSS Similarity yes JAK WSY No the sides are not proportional. SAS Similarity, T ALGEBRA Identify the similar triangles and find x and the measures of the. T U indicated sides,10 70 14 70 60,S 21 K Q R 3 L,yes STU JPM yes SKM RTQ 18 M. SAS Similarity AA Similarity x 3, ALGEBRA Identify the similar triangles and find x and the measures of the LMN PQN 9 12 8 JLN KLM 2 21 14.

indicated sides, A J Use the given information to find each measure. E 15 B C 16,TS 6 PS x 7 EF,I EF 3 EG x 1,12 L N QR 8 and SR x 1 HI 4 and HG x 3. K x 3 find PS and PR find EG and HG,Lesson 6 3 Q I. Lesson 6 3,ABC DBE 15 16 20 JKL MNL 10 28 7 T,T PS 12 PR 16 EG 6 HG 8. 6 x 6 INDIRECT MEASUREMENT For Exercises 7 and 8 use the following information. 9 D U A lighthouse casts a 128 foot shadow A nearby lamppost that measures 5 feet 3 inches casts. an 8 foot shadow,DEF GEH 4 9 18 RST UVT 12 6 14, 7 Write a proportion that can be used to determine the height of the lighthouse.

Sample answer If x height of lighthouse,8 What is the height of the lighthouse 84 ft. Glencoe McGraw Hill 309 Glencoe Geometry Glencoe McGraw Hill 310 Glencoe Geometry. Glencoe Geometry,NAME DATE PERIOD NAME DATE PERIOD. 6 4 Skills Practice 6 4 Practice Average, Parallel Lines and Proportional Parts Parallel Lines and Proportional Parts. 1 If JK 7 KH 21 and JL 6 2 Find x and TV if RU 8 US 14 1 If AD 24 DB 27 and EB 18 2 Find x QT and TR if QT x 6. find LI TV x 1 and VS 17 5 find CE SR 12 PS 27 and TR x 4. K J S C P S,Glencoe McGraw Hill,I R T 16 12 18 8,Determine whether J. Determine whether B,3 JN 18 JL 30 KM 21 and ML 35,3 AD 15 DB 12 AE 10 and EC 8 no.

4 KM 24 KL 44 and NL JN,4 BD 9 BA 27 and CE is one third of EA yes. COORDINATE GEOMETRY For Exercises 5 and 6 use the y F. 5 AE 30 AC 45 and AD is twice DB,following information. Triangle EFG has vertices E 4 1 F 2 5 and G 2 1 Point K H. is the midpoint of and H is the midpoint of F,COORDINATE GEOMETRY For Exercises 6 8 use the y B. 5 Show that KH,is parallel to,following information E K G. Triangle ABC has vertices A 5 2 B 1 8 and C 4 2 Point D The slope of E. F is 1 and the slope of K,is the midpoint of AC,and E is the midpoint of so E.

is parallel to K,6 Identify the coordinates of D and E 1. 6 Show that KH EF,D 2 5 E 0 5 2 The length of K,and the length of E is 6 2. Lesson 6 4,7 Show that B,is parallel to,Since the slope of B. is 2 and the slope of D,is parallel to D,7 Find x and y 8 Find x and y. 8 Show that DE BC 3,2 5 1 4y 4,The length of D,or and the length of B.

2 3x 4 x 1,Lesson 6 4,x 4 y 9 x y,9 Find x and y 10 Find x and y 2 4. 9 MAPS The distance from Wilmington to Ash Grove along Wilmington. 2x 1 3y 8 Kendall is 820 feet and along Magnolia 660 feet If the Magnolia Kendall. 2 distance between Beech and Ash Grove along Magnolia is Beech. 280 feet what is the distance between the two streets along. x 6 y 6 5 x 2 y 4,about 348 ft, Glencoe McGraw Hill 315 Glencoe Geometry Glencoe McGraw Hill 316 Glencoe Geometry. Glencoe Geometry,NAME DATE PERIOD NAME DATE PERIOD. 6 5 Skills Practice 6 5 Practice Average, Parts of Similar Triangles Parts of Similar Triangles. Find the perimeter of the given triangle Find the perimeter of the given triangle. 1 JKL if JKL RST RS 14 2 DEF if DEF ABC AB 27 1 DEF if ABC DEF AB 36 2 STU if STU KLM KL 12. ST 12 TR 10 and LJ 14 BC 16 CA 25 and FD 15 BC 20 CA 40 and DE 35 LM 31 MK 32 and US 28. Glencoe McGraw Hill,T L C B M U,50 4 40 8 K,3 PQR if PQR LMN LM 16 4 KLM if KLM FGH FG 30.

MN 14 NL 27 and RP 18 GH 38 HF 38 and KL 24,Use the given information to find each measure. R L 3 Find PR if JKL NPR KM,is an 4 Find ZY if STU XYZ UA is an. altitude of JKL is an altitude of ZB,altitude of STU is an altitude of. P Q NPR KL 28 KM 18 and XYZ UT 8 5 UA 6 and,F PT 15 75 ZB 11 4. J L N R S A X B,Use the given information to find each measure.

5 Find FG if RST EFG SH,is an 6 Find MN if ABC MNP AD is an. 24 5 16 15,altitude of RST F,is an altitude of altitude of ABC M. is an altitude of, EFG ST 6 SH 5 and FJ 7 MNP AB 24 AD 14 and MQ 10 5. Lesson 6 5,R T E G x 4,H J D C B Q P N, PHOTOGRAPHY For Exercises 7 and 8 use the following information. 7 HKL XYZ 8 24 Francine has a camera in which the distance from the lens to the film is 24 millimeters. Y 7 If Francine takes a full length photograph of her friend from a distance of 3 meters and. 20 the height of her friend is 140 centimeters what will be the height of the image on the. 7 film Hint Convert to the same unit of measure 11 2 mm. 1 8 Suppose the height of the image on the film of her friend is 15 millimeters If Francine. 8 took a full length shot what was the distance between the camera and her friend. Lesson 6 5, Glencoe McGraw Hill 321 Glencoe Geometry Glencoe McGraw Hill 322 Glencoe Geometry.

Glencoe Geometry,NAME DATE PERIOD NAME DATE PERIOD. 6 6 Skills Practice 6 6 Practice Average, Fractals and Self Similarity Fractals and Self Similarity. Stages 1 and 2 of a fractal known as the Cantor set are shown To get Stage 2 the An artist is designing a book cover and wants to show a copy of the book cover in. segment in Stage 1 is trisected and the interior of the middle segment is removed the lower left corner of the cover After Stages 1 and 2 of the design he realizes. The interior of a segment is the segment with its endpoints removed The that the design is developing into a fractal. process is repeated for subsequent stages Stage 1 Stage 2. Glencoe McGraw Hill,Lesson 6 6,1 Draw stages 3 and 4 of the Cantor set. 2 How many segments are there in Stage 3 Stage 4, 4 segments 8 segments 1 Draw Stages 3 and 4 of the book cover fractal. Stage 3 Stage 4, 3 What happens to the length of the line segments in each stage.

The line segments decrease in length by two thirds at each stage MATH MATH. 4 The Cantor set is the set of points after infinitely many iterations Is the Cantor set. self similar MATH MATH,yes MATH MATH, 2 After infinitely many iterations will the result be a self similar fractal yes. Find the value of each expression Then use that value as the next x in the. expression Repeat the process three times and describe your observations 3 On what part of the book cover should you focus your attention to be sure you can find a. copy of the entire figure the lower left corner,Lesson 6 6. 5 2x 3 where x initially equals 5, 2 5 3 7 2 7 3 11 2 11 3 19 2 19 3 35 Find the value of each expression Then use that value as the next x in the. expression Repeat the process three times and describe your observations. The iterates increase by consecutive powers of 2 x. 4 2 x 3 where x initially equals 0 5 3 where x initially equals 10. x 6 18 42 90 2 2 4 5,6 where x initially equals 1, The difference between values The difference between values is. 1 0 5 0 25 0 125 doubles with each term 1, 0 5 0 25 0 125 0 0625 multiplied by with each term.

The iterates are halved with each iteration approaching zero Find the first three iterates of each expression. 6 1 where x initially equals 1 7 2x2 where x initially equals 2. Find the first three iterates of each expression 1 5 1 75 1 875 8 128 32 768. 7 x2 1 where x initially equals 2 8 where x initially equals 8 8 HOUSING The Andrews purchased a house for 96 000 The real estate agent who sold. the house said that comparable houses in the area appreciate at a rate of 4 5 per year. 3 8 63 0 125 8 0 125, If this pattern continues what will be the value of the house in three years Round to. the nearest whole number 109 552, Glencoe McGraw Hill 327 Glencoe Geometry Glencoe McGraw Hill 328 Glencoe Geometry.

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