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Geometry warm up

B E F 30 ° 45° 60 ° 45° A D C. Name a ray that bisects AC or

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Geometry warm up

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  1. B E F 30° 45° 60° 45° A D C Name a ray that bisects AC or Name the perpendicular bisector of AC or Name the bisector of <CDB or BD DB BD DF BD DF Geometry warm up D is the midpoint of AC When you get done with this, please make a new note book

  2. 3.1 Symmetry in Polygons What is symmetry? There are two types we’re concerned with: Rotational and Reflective If a figure has ROTATIONAL symmetry, then you can rotate it about a center and it will match itself (don’t consider 0° or 360°) If a figure has REFLECTIONAL symmetry, it will reflect across an axis. What are polygons? A plane figure formed by 3 or more segments Has straight sides Sides intersect at vertices Only 2 sides intersect at any vertex It is a closed figure

  3. Polygons are named by the number of sides they have: Names of polygons

  4. Vocabulary • Equiangular – All angles are congruent • Equilateral – All sides are congruent • Regular (polygon) – All angles have the same measure AND all sides are congruent • Reflectional Symmetry – A figure can be cut in half and reflected across an axis of symmetry. • Rotational Symmetry – A figure has rotational symmetry iff it has at least one rotational image (not 0° or 360°) that coincides with the original image.

  5. center Central angle EQUILATERAL triangle has 3 congruent sides ISOCELES triangle has at least 2 congruent sides SCALENE triangle has 0 congruent sides Center – in a regular polygon, this is the point equidistant from all vertices Central Angle – An angle whose vertex is the center of the polygon A little more vocab C

  6. Activities • 3.1 Activities 1- 2 (hand out) • Turn it in with your homework

  7. What you should have learned about Reflectional symmetry in regular polygons • When the number of sides is even, the axis of symmetry goes through 2 vertices • When the number of sides is odd, the axis of symmetry goes through one vertex and is a perpendicular bisector on the opposite side

  8. What you should have learned about rotational symmetry • To find the measure of the central angle, theta, θ, of a regular polygon, divide 360° by the number of sides. 360/n = theta • To find the measure of theta in other shapes, ask: “when I rotate the shape, how many times does it land on top of the original?” • Something with 180° symmetry would have 2-fold rotational symmetry • Something with 90 degree rotational symmetry would be 4-fold

  9. Homework • Practice 3.1 A, B & C worksheets

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