Polygons Two-dimensional shapes that have three or more sides made from straight lines. Examples:...
Transcript of Polygons Two-dimensional shapes that have three or more sides made from straight lines. Examples:...
Polygons• Two-dimensional
shapes that have three or more sides made from straight lines.
• Examples:– triangles– squares– rectangles
Sides
• The lines you can trace and count on the outside of a 2D shape.
• Example: A triangle has 3 sides. A square has 4.
Parallelogram• A quadrilateral with
parallel opposite sides of equal length.
• Opposite angles are equal.
Quadrilaterals• Any two-dimensional
shapes (polygon) with 4 straight sides and 4 angles
• The interior angles of a Quadrilateral add up to 360 degrees.
• Ex. rhombus kite rectangle trapezoid
square
Rectangle• A 2D shape with 4
corners and 2 pairs of opposite, equal, parallel sides.
• The sides meet at right angles.
Rhombus
• A 2D, four-sided shape with opposite sides that are parallel.
• All the sides are the same length.
Rhombus• A 2D, four-sided
shape with opposite sides that are parallel.
• All the sides are the same length.
• Diagonals of a Rhombus bisect each other at right angles.
Trapezoid• A 2D shape (polygon)
with four sides. • One pair of sides is
parallel.
Trapezoid
• A 2D shape (polygon) with four sides.
• One pair of sides is parallel.
Square• 2D shape (polygon)
with 4 equal sides and 4 right (90°) angles.
• Opposite sides are parallel.
Triangle• Two-dimensional
shape (polygon) with three straight sides and three angles.
• The interior angles of a triangle add up to 180 degrees.
• There are – isosceles triangles,– right triangles– equilateral triangles– scalene triangles
Isosceles Triangle
• A triangle with 2 equal sides and 2 equal angles
Equilateral Triangle
• A triangle with 3 equal sides and 3 equal angles.
Right Triangle
• A triangle with one right angle (90 degrees).
Scalene Triangles• A triangle with 3
different side lengths and 3 different angle measures.
Congruent• Two figures are
congruent if they have the same shape and size.
• Two angles are congruent if they have the same measure.
Rectangular Prism• A 3D shape that has:
– 6 rectangular faces• 2 of those faces are
equal– 12 edges– 8 vertices
• Some faces are parallel• Some edges are parallel• Some faces are perpendicular• Some edges are perpendicular
Pyramid• A three-dimensional
shape which has a polygon for its base and triangular faces which meet at one point (vertex).
Cube• A three-dimensional
shape which has 6 square faces all the same size, 12 edges and 8 vertices.
• Some faces parallel• Some edges parallel• Some faces perpendicular• Some edges
perpendicular
Line• An infinitely
long, thin, two-dimensional mark
• It has no endpoints.
Line Segment• A section of line
bounded by two endpoints.
• A line segment is not continuous.
Intersecting• Crossing over one
another.
• These lines are intersecting.
Parallel• Lines that are the
same distance apart from each other.
• These type of lines stay the same distance apart for their whole length. They do not need to be straight or the same length.
• They never intersect.
Perpendicular• Lines that intersect at
a perfect right angle (90º) to one another.
• In solid shapes, edges could be at a right angle to one another.
• Faces could also be at right angles to one another.
Angles• A shape formed
by two lines or rays that extend from a common point (vertex).
• The amount of turning between two lines that meet at a common point (vertex).
Vertex (angles)• The common
point between two or more rays or line segments.
Right Angle
• An angle whose measure is exactly 90 degrees.
Symmetry• An object is
symmetrical when you can fold it in half and the two halves are congruent.
• One half is a mirror image of the other.
Symmetrical Not Symmetrical