- Polygons: A fancy name for shapes with straight sides
- Congruence: When line segments, angles, or shapes are the same
- Triangles: Introducing triangles and three different types of them
- Triangles by angle: Learn about right, acute, and obtuse triangles
- Altitudes: Perpendicular line segments in triangles
- Isosceles triangles: They have two equal sides, but what about their angles?
- Equilateral triangle: all three sides have the same length
- Isosceles triangle: two sides have the same length
- Scalene triangle: all three sides have different lengths
- Triangle inequality: The rules a triangle's side lengths always follow
- Big angles, longer sides: In triangles, sides and their opposite angles are related!
- 180 degrees in a triangle: See if it's really true, and then prove it!
Polygons are shapes with straight sides and its sides never touch.
Any polygon with exactly 3 sides is called Triangle, Quadrilateral has exactly 4 sides, 5 sides are called Pentagons, 6 sides are called Hexagons, 7 sides are called Heptagons, 8 sides are called Octagons, 9 sides are Nonagons, 10 sides are Decagons.
In general, polygons are named after their vertices, or corners in the proper order.
Line segments are congruent if they have the same length. Angles are congruent if they have the same measure. Shapes are congruent if you can turn one into the other by moving, rotating, or flipping.
- Equilateral triangle: all three sides have the same length- Isosceles triangle: two sides have the same length
- Scalene triangle: all three sides have different lengths
Triangles with a right angle are called Right Triangles (90 degrees angle), triangles with an obtuse angle are called Obtuse Triangles (angle greater that 90 degrees, but less than 180 degrees), triangles with three acute angles are called Acute Triangles (angles less than 90 degrees).
Any polygon with exactly 3 sides is called Triangle, Quadrilateral has exactly 4 sides, 5 sides are called Pentagons, 6 sides are called Hexagons, 7 sides are called Heptagons, 8 sides are called Octagons, 9 sides are Nonagons, 10 sides are Decagons. In general, polygons are named after their vertices, or corners in the proper order.
Altitude is a perpendicular line segment from a vertex of a triangle to the opposite side.
A triangle’s three altitudes intersect at its orthocenter.
Medians of triangles: Line segments connecting vertices and midpoints
Median is a line segments connecting a vertex, or corner of a triangle to the midpoint of the opposite side.
A triangle’s medians all intersect at the centroid. The centroid cuts each median into two segments, and the longer is twice the shorter.
Each side must be less than the sum of the other two in Triangle Inequality.
In triangles the shortest side is opposite the smallest angle and the longest side is opposite the largest angle.
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