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Write a similarity statement for the triangles below. Which condition proves these triangles are similar? Angle Angle Similarty Side Angle Side Similarity Side Side Side Similarity Not similar triangles ABC ~ use capital letters Find the length of AC, round to the nearest tenth. AC = A replica car has a similarity ratio of 3 : 41. The replica car has a width of 6.5 inches. Find the width of the original car to the nearest whole inch. width of the original = inches Two regular hexagons are similar by a ratio of 3 to 5. The perimeter of the smaller hexagon is 72 inches. Side length of large hexagon = Perimeter of large hexagon = inches inches Solve the following proportions to find the value of the variable. 2x - 1 x + 1 4 y 6 2 y 16 = = x = y = The angle measures of a quadrilateral are in a ratio of 2:3:4:6. Find the measure of the largest angle. largest angle = The ratio of the lengths of a triangle are 4:6:9 and its perimeter is 57cm. Find the length of the shortest side. short side = Write a ratio expressing the slope of line m. slope = Determine if the triangles are similar and which condition proves it. Similar by SAS~ Thm. ? Similar by AA~ Thm. ? Not necessarily similar ? Similar by SSS~ Thm. ? Given the triangles are similar, find the values of x and y. x = y = No, triangles are not similar ? Triangles Similar? 12 Determine if the following pairs of triangles are similar or not. 6 12 9 4 9 72˚ Yes, triangles are similar ? Triangles Similar? 36˚ |