Lesson 11.1 Similar Polygons
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1 esson 11.1 imilar olgons ame eriod ate ll measurements are in centimeters. 1. HI W. U I H I I I W 1 m m U 1 m I U. op onto our paper. Use a compass and straightedge to construct a similar quadrilateral with twice the perimeter of. plain our method... What s wrong with this. re the pair of polgons similar? picture? plain. plain wh or wh not. In ercises, decide whether or not the figures are similar. If the are not, eplain wh.. and. JK and JK. and F J K F 0 9. op and center onto our paper. Use geometr tools to draw a dilation image with scale factor 1.. easure,,, and. alculate and. re the results what ou epected? plain. iscovering eometr ractice our kills H Ke urriculum ress
2 esson 11. imilar riangles ame eriod ate ll measurements are in centimeters. 1.. Z Z 9 _ 1 _ 1_ For ercises and, refer to the figure at right.. plain wh and are similar re the two triangles similar? plain wh or wh not. 1 1_ 11 _. In ercises 9, write an equation for two triangles that are similar. plain wh each pair is similar I K H 1. raw a trapezoid with both diagonals. ame a pair of similar triangles. 0 H 11 iscovering eometr ractice our kills 00 Ke urriculum ress
3 esson 11. Indirect easurement with imilar riangles ame eriod ate 1. t a certain time of da, a ft man casts a ft shadow. t the same time of da, how tall is a tree that casts an 1 ft shadow?. If a ft in. person casts a ft in. shadow, how tall is a person who, at the same time, casts a ft in. shadow? ive our answer to the nearest inch.. riving through the mountains, ale has to go up and over a high mountain pass. he road has a constant incline for miles to the top of the pass. ale notices from a road sign that in the first mile he climbs 0 feet. What is the height of the mountain pass? (0 ft 1 mi). unrise oad is miles long between the edge of oon ake and ake oad and 1 miles long between ake oad and unset oad. ake oad is 9 miles long. Find the length of oon ake. oon ake unrise oad ake oad unset oad. arta is standing ft behind a fence ft in. tall. When she looks over the fence, she can just see the top edge of a building. he knows that the building is ft in. behind the fence. Her ees are ft from the ground. How tall is the building? ive our answer to the nearest half foot. Fence ft ft ft in. ft in. uilding. ou need to add supports under the ramp, in addition to the. m one, so that the are all equall spaced. How long should each support be? (ne is drawn in for ou.). tretch our arm out straight in front of ou and hold our thumb straight up. lose one ee and look at a distant object. Without moving our arm (or thumb), switch ees. What appears to happen? easure the distance between our ees and the distance between one ee and our thumb. plain how, with one other piece of information, ou can now use similar triangles to estimate the distance to the distant object. What else do ou need to know? amp 9.0 m upport. m iscovering eometr ractice our kills H Ke urriculum ress
4 esson 11. orresponding arts of imilar riangles ame eriod ate ll measurements are in centimeters. 1.. and. he triangles are similar. are midpoints. Find h and j. Find the length of the three sides of the smaller triangle to two decimal places... edian of has measure. cm. edian of the dilation image has measure.1 cm. If 1. cm,.. W. K cm, cm, and 1 cm. W Find. Z Z. j 1 1. h 1. 1 Z K W. raw a segment on our paper. Use construction tools to divide our segment into two parts with ratio :. plain our method.. Find and.. Find a, b, and c. 9. Find,, and. b c a H 11 iscovering eometr ractice our kills 00 Ke urriculum ress
5 esson 11. roportions with rea and Volume ame eriod ate ll measurements are in centimeters unless otherwise indicated. In ercises 1, decide whether or not the two solids are similar _ 1 _ rea of square U rea of circle... rea of square rea of circle rea of rea of U. he ratio of the corresponding midsegments of two similar trapezoids is :. What is the ratio of their areas? 9. he ratio of the areas of two similar pentagons is :9. What is the ratio of their corresponding sides?. he corresponding heights of two similar clinders is :. What is the ratio of their volumes? 11. he ratio of the weights of two spherical balls is :. What is the ratio of their radii?. If FHIJ, cm, FH cm, and area of 0 cm, then area of FHIJ. 1. rectangular prism aquarium holds gallons of water. similarl shaped aquarium hold gallons of water. If a 1. ft cover fits on the smaller tank, what is the area of a cover that will fit on the larger tank? iscovering eometr ractice our kills H Ke urriculum ress
6 esson 11. roportional egments etween arallel ines ame eriod ate ll measurements are in centimeters. 1.. Is?. Is K?... a 9. I K b 0 n p q I b 1 p a. q plain wh m H 11 iscovering eometr ractice our kills 00 Ke urriculum ress
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