The iteration of connecting the midsegments of the triangle and then removing the central triangle is repeated to make the Sierpinski triangle.

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1 Name ate lass Reteaching Fractals INV 0 The Sierpinski Triangle n iteration is the repeated application of a rule. You can continue an iteration indefinitely. In geometry, you can generate fractals by iteration. The Sierpinski Triangle is a famous fractal. Start with a right isosceles triangle. The first iteration connects the midsegments of the triangle. Then, remove the triangle in the center so that there is a hole in the middle of the triangle. right isosceles triangle first iteration The iteration of connecting the midsegments of the triangle and then removing the central triangle is repeated to make the Sierpinski triangle.. raw a right isosceles triangle and make the first iteration for the Sierpinski triangle. Shade in the triangles you make ecept for the central triangle. Make a large triangle so that you can do several iterations. For the first iteration for the Sierpinski triangle, there are three unshaded triangles. uring the net iteration, connect the midsegments of each unshaded triangle and shade each central triangle. raw the second iteration for the Sierpinski triangle. ount the number of triangles. Remember not to count the central triangles.. For the second iteration, there are nine unshaded triangles. raw the third iteration for the Sierpinski triangle.. For the third iteration, there are 7 unshaded triangles.. The number of unshaded triangles for each iteration of the Sierpinski triangle make a pattern. Write the number of unshaded triangles for the three iterations., 9, 7 5. Write your numbers in the answer for problem 5 as powers of.,, 6. How many unshaded triangles would the seventh iteration of the Sierpinski triangle have? 7,,87 Saon. ll rights reserved. 9 Saon Geometry

2 Reteaching continued INV 0 The Sierpinski arpet The Sierpinski carpet is another fractal. egin with a square. Think of the square divided into nine equal squares (look at the grid below). The first iteration removes the middle square. Shade in the middle square as you did with the central triangle in the Sierpinski Triangle. Square First iteration (dotted lines are not part of the iteration) There are 8 unshaded squares left. with each of the squares, think of the square divided into 9 equal squares. For the second iteration, remove the middle square from each of the 8 unshaded squares. 7. raw a square and make the first iteration for the Sierpinski carpet. Shade in the central square. e sure to make a large square so that you can do several iterations. For the first iteration for the Sierpinski carpet, there are eight unshaded squares. raw the second iteration for the Sierpinski carpet. ount the number of squares left. Remember not to count the central squares. 8. uring the net iteration, remove (shade) the middle square from each of the eight squares. 9. There are eight smaller squares in each of the eight squares. There are a total of sity-four unshaded squares after the second iteration. raw the third iteration for the Sierpinski carpet. ount the number of squares left. 0. There are eight smaller unshaded squares in each of the sity-four squares. There are a total of 5 unshaded squares after the second iteration.. How many unshaded squares would the fourth iteration of the Sierpinski carpet have? 8,096 Saon. ll rights reserved. 0 Saon Geometry

3 Name ate lass Reteaching etermining Lengths of Segments Intersecting ircles 0 You have worked with secants and tangents of circles. Now you will learn about the relationships between secant segments and tangent segments. ccording to the Secant-Secant Product Theorem, the product of one secant segment and its eternal segment equals that of the other secant segment and its eternal µsegment. E In the diagram to the right, the Secant-Secant Product Theorem can be stated as E E E E. Use the Secant-Secant Product Theorem to find the value of in the diagram. JN KN LN MN J L 5 K 8.5 LN 0 and JN M 5 N omplete the steps to find the value of the variable.. L W 6 a V 9 Y 5 X. 5 F E G 0 5 H Z XZ YZ VZ WZ H EH FH GH 9 6 a a a 5 5 a 5 5 Find the value of. Round your answer to the nearest tenth.. 9. E 8 G.. J G 6 H K L Saon. ll rights reserved. Saon Geometry

4 Reteaching continued 0 ccording to the Secant-Tangent Product Theorem, the product of the lengths of the secant segment and its eternal segment equals that of the tangent segment squared. E In the diagram to the right, the Secant-Tangent Product Theorem can be stated as E E E. Use the Secant-Tangent Product Theorem to find the value of the variable omplete the steps to find the value. 5. L 0 K 8 M J 6. M P X 8 N O JK JL JM MO NO OP Find the value of. Round your answer to the nearest tenth X P X Q 0 5 R S Saon. ll rights reserved. Saon Geometry

5 Name ate lass Reteaching ilations in the oordinate Plane 0 You have worked with translations and reflections. Now you will learn to make transformations using dilations in the coordinate plane. ilations dilation is a reduction or enlargement of a shape. Recall that the scale factor describes how much a figure is enlarged or reduced. Mapping notation for a dilation with the origin at the center is written as 0, k (, y) (k, ky), where k represents the scale factor. Eample: etermine the result of the dilation 0, (, y ) on the points (, 6) and (6, ). 0, k (, y) (k, ky) 0, (, 6) (, 6) (8, ) 0, (6, ) ( 6, ) (, 6) omplete the steps to find the result of the given dilation on the coordinates.. 0, (, y) on the points (, ) and (, ) 0, (, ) (, ) (, 8) 0, (, ) (, ) (, 6). 0, (, y) on the points (, 5) and (, ) 0, (, 5) (, 5) (, 5) 0, (, ) (, ) (6, ) etermine the result of the dilation on the given points.. 0, (, y) on the points (, 5) and (, ) (, 0) and ( 8, ). 0,.5 (, y) on the points (, ) and (, 6) (5, 0) and (7.5, 5) 5. 0, (, y) on the points (, ) and (5, 8) ( 6, ) and (0, 6) 6. 0, 0.5 (, y) on the points (, 6) and (, 8) (, ) and (, ) 7. 0,.5 (, y) on the points (, ) and (, ) (.5,.5) and (.75, 5) 8. 0, (, y) on the points (0, ) and (, ) (0, ) and (, 6) Saon. ll rights reserved. Saon Geometry

6 Reteaching continued 0 ilating by Point Matri You can use a point matri to determine the points of a figure on a coordinate grid. The point (a, b) would be written as [ a b]. To apply a scale factor to a point matri, multiply each entry in the point matri by the scale factor. reate a point matri for the triangle given in the diagram. Use this point matri to show a dilation of the shape by a factor of. Step : Write the point matri. Each point is a different column in the matri. [ ] Step : Multiply each entry in the point matri by the scale factor. [ ] [ ] [ ] Step : Write the new coordinates for the vertices of the dilated triangle. (0, ), (0, 0), and (, ) O y omplete the steps to create a point matri for the given figures and scale factor. y 9. Scale factor 5 0. Scale factor 8 5 [ 7 7 [ [ ] [ ] 7 Saon. ll rights reserved. Saon Geometry [ ] [ 5 0 Show a dilation by each scale factor. y. Scale factor.5 5. Scale factor [ E O F 0 ] [ O ] ] 8 0 ] 8 5 ] O J y O M 5 y K 5 L

7 Name ate lass Reteaching Frustums of ones and Pyramids 0 You have worked with the volume of cones and pyramids. Now you will eamine the frustums of cones and pyramids. Frustum of a one The frustum of a cone is a part of a cone with two parallel bases. The volume of a frustum is V h, where and are the base areas and h is the height of the frustum. Find the volume of the frustum of the cone. Round your answer to the nearest whole number. The volume of the frustum of the cone is about 77 c m. omplete the steps to find the volume of the frustum of the cone. Round your answer to the nearest whole number. r ase area 8 0 cm Substitute and simplify. r ase area 5 cm Substitute and simplify. V h Frustrum formula V Substitute. V 77 cm Simplify. r 0 ft r ft. V h V V 7958 ft Find the volume of the frustum of the cone. Round your answer to the nearest whole number.. V 586 cm. V 8 ft 7 cm 8 cm 0 ft 5 ft 0 ft cm 5 cm 6 ft cm 0 cm ft 9 ft Saon. ll rights reserved. 5 Saon Geometry

8 Reteaching continued 0 0 Frustum of a Pyramid The frustum of a pyramid is a part of a pyramid with two parallel bases. The volume of a frustum is V h, where and are the base areas and h is the height of the frustum. Find the volume of the frustum of the pyramid. Round your answer to the nearest whole number. lw ase area 8 6 cm Substitute and simplify. lw ase area 0 00 cm Substitute and simplify. V h Frustrum formula V Substitute. V 976 cm Simplify. The volume of the frustum of the pyramid is 976 c m. cm 8 cm 0 cm omplete the steps to find the volume of the frustum of the pyramid. Round to the nearest whole number. lw 0 0 ft lw ft. V h V V 679 ft Find the volume of the frustum of the pyramid. Round to the nearest whole number. 5. V 58 cr 6. V 5 8 ft 9 ft ft 6 ft 0 ft 9 m 8 m m 0 ft 5 ft 5 m 8 m ft ft 6 ft Saon. ll rights reserved. 6 Saon Geometry

9 Name ate lass You have worked with circles and sectors. Now you will work with arc lengths and chords. ongruent rcs ongruent arcs are arcs that have the same measure. Reteaching Relating rc Lengths and hords 0 E E E If m E m E, then _ _. ongruent central angles have congruent chords. Eample: Given that HLG KLJ, find GH. If _ _, then. ongruent chords have congruent arcs. HLG KLJ HG JK ongruent cental angles have congruent chords. y 5 y y 5 Subtract y from both sides. y 8 Subtract 5 from both sides. GH y If, then m E m E. ongruent arcs have congruent central angles. y + 5 H G L K J y + omplete the statements to find m QR.. RQ ST QR R S m RQ m ST () Find the each measure.. Given that m m,. Given that E E, find m E. 5 find. ( + ) Q y + T E E y - Saon. ll rights reserved. 7 Saon Geometry

10 Reteaching continued 0 More ongruent rcs Use the figure shown to prove that if the arcs are congruent, then the chords are also congruent. Given that KL LM, prove KL LM. Statement Reason. KL LM. Given. KJL MJL. efinition of arc measures. JK _ JL _ ; JL _ JM _. Radii of the same circle are all congruent.. JKL JLM. SS 5. KL _ LM _ 5. PT K J L M omplete the statements to prove that if the chords are congruent, then the arcs are also congruent. E. Given that _ E _, prove E.. E. _ E _ Statement. Given Reason. Radii of the same circle are all congruent.. E. SSS. E. PT 5. E 5. efinition of arc measures Use the figure above to prove that if the arcs are congruent, then the chords are also congruent. 5. Given that E, prove E. Statement. E. Given Reason. E. efinition of arc measures. E. Radii of the same circle are all congruent.. E. SS 5. E 5. PT Saon. ll rights reserved. 8 Saon Geometry

11 Name ate lass You have learned about geometric transformations. Now you will use matrices to perform transformations on a coordinate plane. The vertices of XYZ are X (7, 6) Y (, ), and Z (5, ). Use matri multiplication to reflect the image in the y-ais. raw the preimage and the image in a coordinate plane. Multiply by the reflection matri in the y-ais ( )(7) (0)(6) ( )() (0)() ( )(5) (0)( ) 6 (0)(7) ()(6) (0)() ()() (0)(5) ()( ) ] [ The image matri is Therefore, X Y Z has vertices at X (7, 6), Y (, ), and Z ( 5, ). Reteaching Rotations and Reflections on the oordinate Plane 05 X' -6 - Z' Y' - y Y Z 6 X omplete the steps to find the reflected image of the triangle. y Q. Reflect QRS with vertices Q(, 6), R(5, ), and S(, ) in the -ais. raw the preimage and the image in a coordinate plane. Multiply by the reflection matri in the -ais ()() (0)(6) [(0)() ( )(6) ()(5) (0)() (0)(5) ( )() ()( ) (0)() (0)( ) ( )()] S S' Q' R R' 6 5 Q R S has vertices at Q (, 6), R (5, ), and S (, ). Use matri multiplication to reflect the figure in the given ais. Graph the preimage and the image on a separate sheet of paper.. Reflect with vertices (, ), (, ), (, ) in the -ais. ; has vertices (, ), (, ), and (, ). Saon. ll rights reserved. 9 Saon Geometry

12 Reteaching continued 05 The vertices of TUV are T(, ) U(, 5) V(5, ). etermine the image matri for a 90 rotation of TUV about the origin. Graph the preimage and image in a coordinate plane. Multiply by the 90 rotation matri (0)() ( )() (0)() ( )(5) [()() (0)() ()() (0)(5) The image matri is 5 5. So, T U V has vertices at T (,), U (, 5), V ( 5, ). (0)(5) ( )() ()(5) (0)() ] U' V' y U 5 5 T' T V omplete the steps to determine the rotation image of the triangle.. Rotate with vertices (,0), (,) (,) 70 about the origin. raw the preimage and the image in a coordinate plane. y Multiply by the 70 rotation matri [ (0)() ()(0) ( )() (0)( 0 ) 0 (0)() ()() ( )() (0)() 0. (0)() ()() ( )() (0)()] ' ' ' has vertices at (0, ), (, ), and (, ). Use matri multiplication to rotate each figure the given degrees. Graph the preimage and the image on a separate sheet of paper.. Rotate rectangle QRST with vertices Q(0, ), R(, ) S(, ), and T(0, ) 90 about the origin. 0 0, Q R S T has vertices Q (, 0), R (, ), S (, ), and T (, 0). Saon. ll rights reserved. 0 Saon Geometry

13 Name ate lass You have found the perimeter and the missing side lengths of many different figures. Now you will find the perimeter of inscribed and circumscribed figures. Find the perimeter of the largest regular octagon that can be inscribed in a circle with radius 6. Round your answer to the nearest hundredth. Step : raw a diagram. Find the center angle by dividing 60 by the number of sides in the figure Step : Then, use the law of cosines to find the length of the sides of the octagon. c a b ab cos c 6 6 (6)(6) cos 5 c.09 c.59 Each side of the octagon is approimately.59, so the perimeter of the octagon is P 8s 8(.59) P 6.7 Reteaching ircumscribed and Inscribed Figures θ omplete the steps to find the perimeter of the largest regular pentagon inscribed in a circle with radius 5. Round your answer to the nearest hundredth c a b ab cos c (5) (5) (5)(5) cos 7 c.55 c 5.88 P 5s 5(5.88) P 9. Find the perimeter of each inscribed regular polygon. Round your answer to the nearest hundredth.. What is the largest regular octagon that can be inscribed in a circle 8.96 with radius 8?. What is the largest regular decagon that can be inscribed in a circle.6 with radius 7?. What is the largest regular pentagon that can be inscribed in a circle 5.90 with radius 9? 5. What is the largest regular nonagon that can be inscribed in a circle 7.89 with radius? 5 θ 5 Saon. ll rights reserved. Saon Geometry

14 Reteaching continued 06 Find the perimeter of a pentagon circumscribing a circle with radius 7. Round your answer to the nearest tenth. raw a diagram. Find the center angle by dividing 60 by the number of sides in the figure X The radius of the circle is the apothem of the pentagon. It can 7 be used to calculate half of the side length. The apothem also divides the central angle in half for each side of the figure. Half of the central angle is 6. tan tan Since is half of the side length, each side is. The perimeter is P 5s 5( 5.09). P omplete the steps to find the perimeter of the polygon circumscribing a circle with the given radius. Round your answer to the nearest hundredth. 6. an octagon circumscribing a 7. a heagon circumscribing a circle with radius circle with radius tan.5 tan 0 tan.5 tan P 8s 8(.66 ) P 6s 6( 6.9 ) P 6.56 P 8.6 Find the perimeter of each polygon circumscribing the circle with the given radius. Round your answer to the nearest hundredth. 8. a heagon circumscribing a circle with radius a nonagon circumscribing a circle with radius a pentagon circumscribing a circle with radius a triangle circumscribing a circle with radius Saon. ll rights reserved. Saon Geometry

15 Name ate lass Reteaching Maimizing rea 07 Rectangle VXYZ is l units long and w units wide. It has a perimeter of 6 units. etermine the area of the rectangle for w 5, w 7, V w 9, and w 0. Solve for l using the perimeter and width. Then substitute w and l into the formula for area. P (I w) P (I w) P (I w) P (I w) 6 (I 5) 6 (I 7) 6 (I 9) 6 (I 0) I I I 9 I 8 Iw Iw Iw Iw sq. units 77 sq. units 8 sq. units 80 sq. units raw each rectangle on grid paper. escribe the relationship between the shape of each rectangle and the area of each rectangle. V X I X I Z W Y Z W Y The closer to a square the rectangle is, the greater its area is. The square itself has the greatest area. omplete the steps to find the areas of rectangle GHJK with the given lengths and with a perimeter of 0 inches.. etermine the area of the rectangle for I 6, I 8, and I 0. P (I w) P (I w) P (I w) 0 (6 w) 0 (8 w) 0 (0 w) w w w 0 Iw Iw Iw i n 96 in 00 in Which rectangle has the greatest area? The rectangle with side length 0.. etermine the largest possible area of a rectangle with perimeter i n 8 inches.. etermine the largest possible area of a heagon with perimeter 0. cm 5 centimeters. Saon. ll rights reserved. Saon Geometry G H I K W J

16 Reteaching continued 07 Three rectangles have the following dimensions: mm mm, 6 mm mm, and mm mm. etermine the area and perimeter of each rectangle. Iw Iw Iw 6 mm mm mm P (I w) P (I w) P (I w) P ( ) P (6 ) P ( ) P 7 mm P 56 mm P 6 mm Interpret the results. Predict the dimensions of the rectangle with the least possible perimeter that has the same area. ll three rectangles have the same area but different perimeters. The perimeter of each rectangle decreases as the rectangle approaches a square, which means a square would have the least perimeter. The square with area mm has a side length of. omplete the steps to find the area and perimeter of the rectangles. Predict the dimensions of the rectangle with the least perimeter that has the same area.. Three rectangles with the following dimensions: in. 56 in., 7 in. in., and 8 in. 8 in. Iw Iw Iw in in in P (I w) P (I w) P (I w) P ( 56) P (7 ) P (8 8) P 0 in. P 78 in. P 7 in. Give the dimensions of the square with the least perimeter and the same area as the three rectangles above. in. Give the dimensions of each rectangle. 5. Give the dimensions of the rectangle with the least perimeter that 0 m has an area of 00 m. 6. Give the dimensions of the res<ctangle with the least perimeter that 5 cm has an area of 5 cm. 7. Give the dimensions of the rectangle with the least perimeter that 9 ft has an area of 56 ft. 8. Give the dimensions of the rectangle with the least perimeter that 7 in. has an area of in. Saon. ll rights reserved. Saon Geometry

17 Name ate lass Reteaching Introduction to oordinate Space 08 You have worked with coordinate grids. Now you will find the coordinates of points in a three-dimensional coordinate system. Identifying Ordered Triples three-dimensional coordinate system adds a third ais, called the z-ais, to the two-dimensional coordinate system. oordinates of points on the three-dimensional coordinate system are given by ordered triples. n ordered triple is a set of three numbers used to locate and plot a point (, y, z) in a three-dimensional coordinate system. z y Identify the coordinates of the vertices in the given diagram. (0,, ) (-coordinate, y-coordinate, z-coordinate) (,, ) (, 5, ) (0, 5, ) E(0,, 0) F(,, 0) O - z G F y E H 6 G(, 5, 0) - H(0, 5, 0) -6 omplete the steps to identify the ordered triples.. J,,, K,, L, 7,, M, 7, N,, 0, O,, 0 P, 7, 0, Q, 7, 0-6 K J - - O N O - - z L M y 6 P Q Identify the ordered triples.. J (, 0, 0), K(0, 0, ), L(, 0, 0), M(, 5, 0), N(0, 5, ), O(, 5, 0) J K O - z N L O 6 y M - Saon. ll rights reserved. 5 Saon Geometry

18 Reteaching continued 08 Finding ollinear Points In two dimensions, points are collinear when they lie on the same line. To determine whether points are collinear in three dimensions, use a direction vector and one point. To find a direction vector d, d, d, subtract the coordinates of any two points on the line. Use a chosen point 0, y 0, z 0 and the direction d, d, d to write the linear equation, y, z 0, y 0, z 0 t d, d, d for a value t, where t. etermine the coordinates of a point that is collinear with the points (,, ) and (5, 8, ). 5, 8,,, 5, 8,, 7,, y, z,, t, 7, Subtract. Simplify. Equation of the line, y, z,,, 7, Substitute t.,,,, Multiply. 7, 5, 6 Simplify. (7, 5, 6) is a collinear point. omplete the steps to determine the coordinates of the collinear point.. (,, ) and (,, ), t. E(, 0, ) and F(,, ), t,,,, (,, ), y, z,,,,,, 6, 9,, 8, 0, 0, 8, 8,, 8, etermine the coordinates of the collinear points. 5. E(,, ) and F(,, ), t, t ( 5,, ); (5,, 6) 6. G(, 0, ) and H(,, ), t 5, t (, 0, ); (, 6, 5),,, 0,,,, y, z, 0,,, Saon. ll rights reserved. 6 Saon Geometry

19 Name ate lass Reteaching Non-Euclidean Geometry 09 You have worked with the artesian coordinate system. Now you will learn to work with the polar coordinate system. onverting Polar oordinates In the polar coordinate system, a point is represented by its distance r from the origin, or pole, and the measure of angle. The horizontal ray from the pole along the positive horizontal ais is the polar ais. To convert polar coordinates (r, ) into artesian coordinates (X, Y ), use r cos and r sin. onvert the polar coordinates (5, 80 ) into artesian coordinates. r cos onverting polar to artesian 5cos (80 ) 5( ) ( 5) y r sin 5sin (80 ) Substitute. Simplify. onverting polar to artesian Substitute. 5(0) 0 Simplify. The polar coordinates (5, 80 ) are converted into ( 5, 0) as artesian coordinates r θ Pole (r,θ) 0 Polar ais omplete the steps to convert polar coordinates into artesian coordinates.. (, 90 ). (, 70 ) r cos cos 90 (0) 0 y r sin sin 90 () r cos cos 70 (0) 0 y r sin sin 70 () (0, ) (0, ) onvert polar coordinates into artesian coordinates. Round to the nearest tenth.. (, 80 ); (, 0). (, 60 );, 0 5. (, 60 ); (,.7 ) 6. (, 0 ); (.5,.6 ) Saon. ll rights reserved. 7 Saon Geometry

20 Reteaching continued 09 onverting artesian oordinates To convert artesian coordinates (, y ) into polar coordinates (r, ), use r y (equation of a circle) and tan y. Pay attention to the quadrant. onvert the artesian coordinates (, ) into polar coordinates. r y Equation to find r () () Substitute Simplify. tan y Equation to find tan Substitute. tan 6. or. Solve. ( 5, 6. ) First quadrant, since (, ) is in the first quadrant omplete the steps to convert artesian coordinates into polar coordinates. 7. (, ) 8. (, ) r y r y () () 5 ( ) ( ) 5 tan y tan 6.6 or 06.6 tan y tan 5. or. ( 5, 6.6 ) (5,. ) onvert artesian coordinates into polar coordinates. 9. (, ); ( 0, 08. ) 0. ( 5, ); ( 9, 58. ). (, ); (,90 ). (, ); (, 80 ). (, ); (.8, 5 ). (, 0); (, 0 ) 5. (0, 5); (5, 90 ) 6. (, 7); (7.6, 67 ) Saon. ll rights reserved. 8 Saon Geometry

21 Name ate lass You have worked with dilations and scale factor. Now you will use scale to make scale drawings and models Scale rawings scale drawing is a drawing of an object that is smaller or larger than the object s actual size. The drawing s scale is the ratio of any length in the drawing to the actual length of the object. The scale for the diagram of the doghouse is in. : 6 in. Find the width of the actual doghouse. First convert to equivalent units. in. : 6 in. ( ft in./ft) in. iagram width ctual width ross Products Property Simplify. Reteaching Scale rawings and Maps in. omplete the steps to find the actual length.. Scale is cm : 0 m.. Scale is in.: 80 ft. cm : 000 cm in. : 960 in cm in cm 50 m 5760 in. 80 ft Find the actual length.. Scale is in.: 8 ft. 0 ft. Scale is cm: 0 m. 0 m 5 in. 6 cm Saon. ll rights reserved. 9 Saon Geometry

22 Reteaching continued 0 Making a Scale rawing or Model You can represent an object that is very large or very small on paper by creating a scale drawing or model. scale model is a three-dimensional model that uses scale to represent an object as smaller than or larger than the actual object. Eample: school building is 0 feet long, 60 feet wide, and 0 feet high. Using a scale of cm: 0 ft, determine the dimensions of the scale model. raw the scale model. 0 ft Length cm 0 ft 6 cm Solve. cm 60 ft 0 ft cm 0 ft cm 0 ft cm Width Solve. Height Solve. cm cm cm omplete the steps to determine the dimensions of the scale drawing or model. Round to the nearest tenth. 5. The earth has an approimate radius 6. Two cities are approimately 55 miles of 678 kilometers. etermine the apart. map uses a scale of cm : 0 mi radius of a scale model of the earth etermine the distance between the using a scale of cm : 600 km. two cities on the map. cm 600 km cm 0 mi 678 km 55 mi cm cm etermine the dimensions of the scale drawing or model. Round to the nearest tenth. 7. The Statue of Liberty is approimately 5 feet tall from base to torch(5 ft in.). etermine the height on a scale drawing whose scale is cm: 8 ft. 8. cm 8. spherical molecule has a radius of 0 picometers (pm). etermine the diameter of the scale model of the molecule whose scale is in: 0 pm. in. 9. Two friends are 85 meters apart. etermine the distance between them on a map whose scale is cm: 0 m. 9.6 cm Saon. ll rights reserved. 0 Saon Geometry