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Videos, examples, solutions, activities and worksheets to help ACT students review some plane geometry questions.Plane GeometryExamples:What is the area, in square inches, of triangle ABC below?A. 10B. 12C. 14D. 28E. 48 The radius of a right circular cone is doubled and its height is tripled to form a new right circular cone. What is the ratio of the volume of the original cone to the volume of the new cone? (Note Vcone = 13πr2h for radius r and height h)F. 1:6G. 1:12H. 1:18J. 1:36K. 1:216 Through how many degrees does a wheel rotate in 1.5 minutes at 45 revolutions per minute?A. 24,300B. 16,200C. 12,150D. 8,100E. 4,050Show Step-by-step Solutions ACT Math Test: Plane Geometry Problem Heres a Plane Geometry problem similar to problems from past ACT tests. Try to work it in one minute or lessExamples:A square has area 25 cm2. The side of this square is equal to the diameter of the circle, as shown. What is the circumference of the circle, to the nearest centimeter?F. 14G. 15H. 16J. 20K. 31Perimeter word problem ACT - Plane GeometryA word problem involving perimeter of a square and equilateral triangle.Example:The figure below is composed of square BCDE and equilateral triangle ABE. The length of CD is 6 inches. What is the perimeter of ABCDE, in inches?A. 18B. 24C. 30D. 42E. 45Missing exterior angles ACT - Plane GeometryA word problem involving perimeter of finding exterior angles of a triangle.Example:Given the triangle shown below with exterior angles that measure x°, y°, and z° as shown, what is the sum of x,y, and z?F. 180G. 231H. 309J. 360K. Cannot be determined from the given information. Try the free Mathway calculator andproblem solver below to practice various math topics. Try the given examples, or type in your ownproblem and check your answer with the step-by-step explanations. We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.Videos, examples, solutions, activities and worksheets to help ACT students review some coordinate geometry questions.ACT Math Solution - Coordinate GeometryExample:If the point with coordinates (3, y1) lies on the graph y = -5x + 4, what is the value of y1?A. 19B. -15C. 4D. -11E. -5Show Step-by-step SolutionsACT Question - Geometry on the Coordinate PlaneExample:The sides of a square are 3 cm long. One vertex of the square is at (2,0) on a square coordinate grid marked in centimeter units. Which of the following points could also be a vertex of the square?F. (-4,0)G. (0,1)H. (1,-1)J. (4,1)K. (5,0)Show Step-by-step Solutions ACT Practice Question: Circles in Coordinate GeometryExample:In the standard (x,y) plane, a circle has a center at (2,-3) and a circumference of 8π. Which of the following is an equation for this circle?A. (x - 2)2 + (y - 3)2 = 16B. (x + 2)2 + (y - 3)2 = 16C. (x - 2)2 + (y + 3)2 = 16D. (x + 2)2 + (y - 3)2 = 64E. (x - 2)2 + (y + 3)2 = 64Show Step-by-step SolutionsACT Math Test: Coordinate Geometry Problem There are nine coordinate geometry problems on the ACT Math Test. Can you work this one in ONE minute or less?Example:In the standard (x,y) coordinate plane, the midpoint of AB is (-2,7) and A is located at (-1,4). Which of the following gives the coordinates of point B?A. (0,1)B. (-1,3)C. (-1.5,5)D. (1.5,2.5)E. (-3,10)ACT Math Coordinate Geometry Practice QuestionExample:Shown below is the graph of the equation y = 3x + 1 for values of x such that 0 ≤ x ≤ 3. Which of the following statements is (are) true?I. The graph has a constant slope 3.II. The point (2,6) exists on the graph.III. The range of the graph consists of all values of y such that 1 ≤ y ≤ 10.A. I onlyB. I and IIC. I and IIID. I, II, IIIE. None of the above. Try the free Mathway calculator andproblem solver below to practice various math topics. Try the given examples, or type in your ownproblem and check your answer with the step-by-step explanations. We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page. Negative Numbers: Adding and Subtracting, Multiplying and DividingOrder of OperationsFractions: Improper, Mixed, Adding and Subtracting, Multiplying and DividingRepresenting Data on Stem and Leaf and Box and Whisker Plots, More SLBWPercents: Percent ChangeExponentsInequalities: Word Problems A and BConversions: A, B, C
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