ANGLES OF TRIANGLEANGLES OF TRIANGLE = sum of 180 degreeInterior angle of triangle
Explanation:
Interior angle of triangle is always a sum of 180 degree Example: Since the sum is always added up to 180 degree. Therefore; x degree = 180 - 90 - 60 = 30 degree Exterior angle of triangle | Or a sum of 360 degree
Explanation:
Example:
Since a straight line is always a sum of 180 degree, and a interior triangle is always a sum of 180 degree. Therefore
Interior triangle angle = 180 - 60 - 50 = 70 degree Exterior angle of triangle = 180 - 70 = 110 degree Therefore the angle of x is 110 degree. ISOSCELES TRIANGLEExplanation:
An isosceles triangle is a triangle with (at least) two equal sides. Example: |
CONGRUENT TRIANGLESCONGRUENT TRIANGLES = SSS, SAS, ASA, AAS, RHSS.S.S | Side - Side - Side
Explanation:
Three sides are equal Example: S.A.S | Side - Angle - Side
Explanation:
The Side Angle Side states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent. Example: Pair 4 is S.A.S A. S. A | Angle - Side - Angle
Explanation:
Two angles and the included side are congruent Example: A. A. S | Angle - Side - Angle
Explanation:
Two angles and a non-included side are congruent Example: R. H . S | Right angle - hypotenuse - side
Explanation:
Two right triangles are congruent if the hypotenuse and one side of one triangle are respectively equal to the hypotenuse and the corresponding side of the other triangle Example: |
SIMILAR TRIANGLES
EQUIANGULAR TRIANGLE
Explanation:
An equiangular triangle is a triangle where all three interior angles are equal in measure. Each angle is always 60° Example: |
3 SIDES PROPORTIONAL
Explanation:
If the measures of the corresponding sides of two triangles are proportional then the triangles are similar. Likewise if the measures of two sides in one triangle are proportional to the corresponding sides in another triangle and the including angles are congruent then the triangles are similar. Example: |
RATIO OF 2 SIDES
ANGLE BISECTOR
Proper mathematical abbreviation:
Internal angle bisector Explanation: Line segment that divides the angle into two equal parts. Example: ALTITUDE
Explanation:
A line segment through a vertex and perpendicular to (i.e. forming a right angle with) a line containing the base (the opposite side of the triangle). This line containing the opposite side is called the extended base of the altitude. Example: |
PERPENDICULAR BISECTOR
Explanation:
A line segment perpendicular to and passing through the midpoint of (above figure). The perpendicular bisector of a line segment can be constructed using a compass by drawing circles centered at and with radius and connecting their two intersections. Example: MEDIAN
Explanation:
A line segment joining a vertex to the midpoint of the opposing side. Every triangle has exactly three medians, one from each vertex, and they all intersect each other at the triangle's centroid. Example: |