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# Math Elem Teachers III MA 103

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This 0 page Class Notes was uploaded by Fiona Sipes on Sunday November 1, 2015. The Class Notes belongs to MA 103 at Indiana University Purdue University - Fort Wayne taught by Staff in Fall. Since its upload, it has received 11 views. For similar materials see /class/233536/ma-103-indiana-university-purdue-university-fort-wayne in Mathematics (M) at Indiana University Purdue University - Fort Wayne.

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Date Created: 11/01/15

Symmetrical Designs A Rotational Symmetry The design at the right has rotational symmetry It can be rotated 120 240 or 360 about its centerpoint to a position in which it looks identical to its original design The angle of rotation is the smallest angle less than 360 through which the design can be rotated to coincide with the original design The angle of rotation of this shape is 120 Note that the other rotation angles of this design are multiples of 120 Determine the angle of rotation for each design below If the shape has no rotational symmetry it has no angle of rotation less than 360 so report quotnone39 39 iaa 1 80 none 60 90 72 none VAveVV B Re ective Symmetry The design at the right has 3 lines of symmetry Each aXis of symmetry divides the design into two pieces so that one side is the mirror image of the other Determine how many lines of symmetry each figure has Draw them on the figure Jlt 2gt8 3 none one six ik a none none none if A Exploring Types of Triangles What am I Scalene Isosceles Equilateral Acute Right Or Obtuse TM 3 39t 2 HR quot 39i addf II I quotIquot llIll NIHxx a tlIv isquot A f39 If B if C 39w 5 D xxx E N s5quot I F II 39 l x an A r t Use Sketchpad to explore more types of triangles Open the folder Triangle 1 Open the sketch Scalene Triangle Mac or Scalenegsp V ndows 2 The sketch shows you the angle measures and side lengths As you drag to answer the questions below make sure you keep the measures of all three sides different so that the triangle remains scalene a Can you have a scalene triangle that is also an acute triangle Yes For example see Fabove b Can you have a scalene triangle that is also an obtuse triangle Yes SeeA above c Can you have a scalene triangle that is also a right triangle Yes SeeEabove 3 Open the sketch Isosceles Triangle Mac or sotrigsp V ndows 4 The sketch shows you the angle measures and side lengths Drag the figure and answer the following questions a Can you have an isosceles triangle that is also an acute triangle Yes SeeBampC above b Can you have an isosceles triangle that is also an obtuse triangle Yes j c Can you have an isosceles triangle that is also a right triangle Yes A 5 Open the sketch Equilateral Triangle Mac or Equitrigsp V ndows 6 The sketch shows you the angle measures and side lengths Drag the figure and answer the following questions a Can you have an equilateral triangle that is also an acute triangle Yes SeeCabove b Can you have an equilateral triangle that is also an obtuse triangle No c Can you have an equilateral triangle that is also a right triangle No 7 Use any of the three sketches if needed to tell whether each statement below is true always sometimes or never rnmapom 339 An acute triangle is isosceles An obtuse triangle is scalene A triangle contains two obtuse angles A right triangle is equilateral sometimes sometimes An obtuse triangle contains a right angle never never never An isosceles triangle is equilateral sometimes A right triangle has two acute angles always An equilateral triangle is isosceles always

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