Plane Geometry

Plane Geometry

1. The hypotenuse

   • Concept
     • Of a right triangle is always the side opposite the right angle
   • Example
     • Note:Representation of the hypotenuse.(Own elaboration, 2022)

2. Cathetus opposite

   • Concept
     • Is the side opposite the given angle.
   • Example
     • Note.Opposite cathetus representation.Own elaboration(2022)

3. Adjacent Cathetus:

   • Concept
     • Is the side that is next to the given angle, and that is not the hypotenuse.
   • Example
     • Note. Adjacent cathetus representation.(Own elaboration,2022)

4. Exterior angle

   • Example
     • Note.Exterior angle representation. (Own elaboration,2022)
   • Concept
     • Is formed by one side of the figure

5. Interior angle

   • Example
     • Note. Interior angle representation.(Own elaboration, 2022)
   • Concept
     • Is contained within the polygon

6. Triangles

   • Classification
     • according to their angles
       • Rectangles
         • concept
           • are those that have a right angle (90°).
         • Example
           • Note: rectangle triangle (GMAT, 2022)
       • Acute
         • concept
           • All three angles are acute (less than 90°)
         • Example
           • Note: acute triangle (GMAT, 2022)
       • Obtuse
         • concept
           • They have an obtuse angle (greater than 90°)
         • Example
           • Note: obtuse triangle (GMAT, 2022)
     • according to their sides
       • Scalene
         • concept
           • The measures of its three sides are different.
         • Example
           • Note: scalene triangle (GMAT, 2022)
       • Isosceles
         • concept
           • Have at least two sides of the same length.
         • Example
           • Note: isosceles triangle (GMAT, 2022)
       • Equilateral
         • concept
           • Have all three sides of the same length.
         • Example
           • Note: equilateral triangle (GMAT, 2022)
   • Special triangles
     • Concept
       • They are right triangles whose sides have special proportions.
     • Example
       • Special triangle 45°-45°-90°
         • It is a right triangle that has two acute angles with a measure of 45°, therefore it is also an isosceles triangle.
           • Note: Representation of special triangle 45°-45°-90° (own elaboration, 2022)
       • Special triangle 30°-60°-90°
         • Right triangle containing acute angles 30° and 60°, comprising half of an equilateral triangle.
           • Note: Representation of special triangle 30°-60°-90° (own elaboration, 2022)
   • Properties
     • is the quality of a geometrical figure.
   • Properties of triangles
     • • The sum of the interior angles of any triangle is 180 degrees.
     • • All triangles have three sides, three vertices, and three angles.
     • • If two sides of the triangle are added, this result is greater than the measure of the third side.

7. Similarity

   • Concept
     • two figures are similar when they have the same shape, regardless of their size.
   • Example
     • Note: representation of similar figures. (Own elaboration, 2022)

8. Sides

   • Concept
     • they are all the segments that limit a polygon.
   • Example
     • Note: representation of sides in a polygon. (Own elaboration, 2022)

9. Area

   • Conceot
     • is the measure obtained by calculating the space that a geometric figure contains within itself.
   • Example
     • Note: Taken from (Own elaboration, 2022).

10. Polygon

    • Concept
      • is a geometric figure that is composed of segments that enclose an area or space.
    • Examples
      • Note: Taken from (own elaboration, 2022).

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