Centro Escolar Solalto English Profesor Mario Villagran
4th Bimester Project
Sebastián Ortíz Q. Diego Del Cid 7th grade “A”
Index
Polygons
By faces Regular Irregular
By angles
Convex angle Concave angle By number of faces
Flat figures Triangles By faces
Equilateral triangle Isosceles triangle Acute triangle
By angles
Right triangle Acute triangle Obtuse Triangle
Cuadrilaters Parallelogram Square Rectangle Rhombus Rhombus Trapeze Right Trapeze Isosceles Trapeze Scalene Trapeze Trapezoid
Angles Acute angle Right angle Obtuse angle Alternate angles External alternate angles Corresponding angles Full turn angle Complementary angle Supplementary angle Half-‐turn angle Opposite angles Reflex angle Adjacent Angle
Basic Units Point Straight line Ray Curve Arc Parallel lines Perpendicular lines Line segment Midpoint Plane
Symmetry
Rotational symmetry Magnification symmetry Bilateral symmetry Translation symmetry Line symmetry Mirror symmetry
Solid shapes Cube Cylinder Decagon Faces Hexagon Pentagon Pyramid Vertex Edges
Description
Polygons All surrounded plain figures that are delimited by line segments. Are classified by the measure of their angles and sides By faces Regular: All sides are the same. Irregular: All sides have different measure.
By angles
Convex angle: Inner angles measure less than 180º. Concave angle: Inner angles measure more than180ºbut less than 360º. By number of faces: Polygons received their names by their number of faces.
Triangles
By faces
Equilateral triangle: All sides have the same length. Isosceles triangle: two of it´s faces have the same length. Scalene triangle: All sides have different measures.
By angles
Right triangle: have a right angle. Acute Triangle: The three angles measure less than 90º. Obtuse triangle: Have a angle that measure less than 180º.
Cuadrilaters Parallelogram: Quadrilateral that the opposite sides are parallel. Square: Parallelogram with all same sides and angles. Rectangle: Parallelogram that have four right angles. Opposite sides have equal length. Rhombus: Parallelogram that has four sides of equal length. Trapeze: Only has one pair of parallel sides. Right Trapeze: The difference is that only have one right angle. Isosceles Trapeze: Have two sides with the same length. Scalene Trapeze: All sides have different length. Trapezoid: It depends on the reflective symmetry.
Angles Acute angle: It´s measure is less than 90º Right angle: It´s measure is of 90º Obtuse angle: It´s measure is more than 90º but less than 180º. Alternate angles: Are between parallel lines but in opposite sides of a transversal. External alternate angles: Are outside of parallel lines but in the same side of the transversal. Corresponding angles: Four pairs of angles that form parallel lines on the same side of the transversal and in the same relative position. Full turn angle: A 360º angle Complementary angle: Angles that add to 90º. Supplementary angle: Two angles whose measure add to 180º degrees. Half-‐turn angle: A 180º angle Opposite angles: Angles that are opposite corners at a intersection. Reflex angle: An angle that measure more than 180º Adjacent Angle: Angle with a common vertex and side.
Basic Units Point: Simple unity in the space. Straight line: Successive line of points that is infinite. Ray: Part of a straight line that starts at a point and goes in one direction forever. Curve: Line that contains straight parts. Arc: Curved path from one point on a circle to another. Parallel lines: Lines that do not intersect. Perpendicular lines: Lines that intersect at right angles. Line segment: The part of a line that is between two points. Midpoint: Point in the middle of a line segment. Plane: Infinitely large flat surface.
Symmetry A shape has symmetry if it can be transformed into a congruent shape.
Rotational symmetry: Rotation of the shape in a exact copy and in same position. Magnification symmetry: Transformation that changes only the size of a shape. Bilateral symmetry: See reflective symmetry. Line symmetry: The mirror line used in a reflection that reflects a shape exactly on top of itself. Mirror symmetry: The line used in the reflection transformation.
Solid shapes Cube: Have six congruent squares for it´s faces. Cylinder: Have two identical parallel circular faces and a smooth surface. Decagon: A ten-‐side polygon. Faces: The surface that enclose a solid shape. Hexagon: A six-‐sided polygon. Pentagon: A five-‐sided polygon. Pyramid: Solid shapes that have a polygonal base and sides that are triangles. Vertex: The point where the lines that form an angle meet in solid shapes. Edges: Line segment where faces meet on a solid shape.
Transcription
Internal Alternal Angles: two lines cut by a transverse line has external angles to the straight lines but alternate to the transverse.
Internal Angles: You can find two parallels cut by a transverse are all the angles that are between the two parallels.
Acute Angle: You can find it in the scissors.
Right angle: you can find a right angle in a clock:
Obtuse angle: You can find a obtuse angle in a turbine.
Straight angle: You can find a straight angle in a pencil.
Reflex angle: You can find a reflex angle in a Pizza.
Rotation Full angle: You can find a rotation full angle in a fortune Wheel.
External alternal angles: You can find an external alternal angle in a shelf.
Corresponding Angles: You can find a corresponding angle in a window.
Complementary Angles: You can find them in a construction.
Opposite angles: You can find them in a crossing road.
Adjacent Angles: You can find them in a Clock.
Point: You can find them in an arc game.
Straight line: you can find them in a road.
Curve: you can find a curve in a slide.
Arc: you can find them in a tunnel.
Parallel Lines: In a fence
Perpendicular lines: you can perpendicular lines in a hospital.
Line Segment: you can find them in a soccer field.
Rotation symmetry: You can find them in a recycle trashcan.