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Review of Geometric Shapes
Mathematics 2 Ms. Meek Review of Geometric Shapes
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Plane Shapes Plane shapes are flat objects that have length and width but no thickness. There are many different kinds of plane shapes, and they are classified by the number of sides and corners.
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Properties of Plane Shapes
One of the lines that make a plane or flat shape is called a side. line The common point where two sides meet or intersect is called a vertex. vertex or corner
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Properties of Plane Shapes
An angle is the shape formed by two lines coming from a common point, or vertex. We classify angles by measuring the width in degrees. Properties of Plane Shapes
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Properties of Plane Shapes
Square A square has 4 equal sides and 4 square corners, or right angles.
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Properties of Plane Shapes
Rectangle A rectangle has 4 sides, but they do not have to be equal in length, A rectangle also has 4 square corners.
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Properties of Plane Shapes A triangle has 3 sides, 3 vertices.
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Properties of Plane Shapes Has no sides and no corners, or vertices.
Circle Has no sides and no corners, or vertices.
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More Plane Shapes -pentagon, 5 sides and 5 vertices
-hexagon, 6 sides and 6 verticies - octagon, 8 sides and 8 verticies
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Solid Shapes Solid shapes are objects that have length, width, AND thickness. There are many different kinds of solid shapes, and they are classified by their faces.
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Properties of Solid Shapes
Solid shapes are made up of plane shapes. Each plane shape, or flat side of the solid shape is called a face. face edge A line where two surfaces, or faces meet is called an edge. Properties of Solid Shapes
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Properties of Solid Shapes
cube A cube has six faces, and all of the faces are squares of the same size.
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Properties of Solid Shapes
Rectangular prism A rectangular prism also has six faces. All faces are rectangles, and opposite faces are the same size rectangles.
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Properties of Solid Shapes
sphere A sphere is similar to a circle, but it has thickness. There are no faces, edges, or corners on a sphere.
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Properties of Solid Shapes
pyramid A pyramid is a solid with a face of any shape, usually on the bottom. All of the other faces are triangles that meet in a point.
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Properties of Solid Shapes
cone A cone is similar to a pyramid, but the shape at the bottom is a circle. The rest of the solid is not made up of triangular faces, but still meets in a point.
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Properties of Solid Shapes
cylinder A cylinder has two circular faces on opposite sides of the solid. There are no other edges or faces.
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Symmetric Figures A figure is said to be symmetric if you can draw a line down the middle, and split the figure into two pieces that are the exact same shape and size, but opposite (reflections).
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line of symmetry A line of symmetry is the line that divides a figure into two symmetrical parts.
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Lines of symmetry may be vertical, diagonal, or horizontal.
A figure can have more than one line of symmetry, meaning it could be split into two symmetrical pieces in more than one way. Lines of symmetry may be vertical, diagonal, or horizontal.
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Find the Line of Symmetry
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Find the Line of Symmetry
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Find the Line of Symmetry
There is no line of symmetry. When a figure can be folded in half and both halves match, the figure is symmetrical. There is no line that you can draw that would divide this into two equal parts. Find the Line of Symmetry
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Lines of Symmetry Look at the figure below. Only half of it is drawn. You can use the line of symmetry as your guide to draw the other half. Start with a point on the line of symmetry and draw the same thing on the other side.
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Lines of Symmetry Examples:
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Lines of Symmetry Examples:
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Geometric Figures Congruent and similar are terms used to describe characteristics of plane and solid shapes.
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Congruent figures are shapes, plane and solid, that are the same in shape AND size.
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Although congruent figures need to be the same shape and size, but they do not have to be in the same positions. Congruent Figures
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Similar Figures Similar figures have the same shape, but might be different sizes or might not face the same direction.
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Similar! These figures have the same shape, but not the same size.
Similar or Congruent? Similar! These figures have the same shape, but not the same size.
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Congruent! These two figures are the same size and the same shape.
Similar or Congruent? Congruent! These two figures are the same size and the same shape.
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Similar or Congruent? These figures are not similar or congruent. They are not the same size or the same shape.
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Conclusion Congruent and similar are terms used to describe characteristics of plane and solid shapes. Congruent figures are shapes, plane and solid, that are the same in shape AND size. Similar figures have the same shape, but might be different sizes or might not face the same direction.
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