Angle relationships

Verticle angles are angles that are opposite to each other in intersecting lines. Corresponding angles are angles that are in the same side of the horizontal line and the same angles. Alternate exterior angles are angles that are the same but are on the opposite side and are outside. Alternate interior uses the same concept except they are inside. Consecutive angles are angles that are on the inside of the lines but are obtuse and acute. Alternate interior and exterior uses the same concept as the exterior ones but instead they are inside.

image

Angles in a relationship

The sum of all the angles of the triangle equal 180. Also, if the angle on the bottom left is a right angle, the hypotenuse is the same as the small and medium lengths.

image
Triangle inequality

Three side lengths wont make a triangle when the smaller squares length are shorter than the large square. Three side lengths will make a triangle when the smaller lengths are bigger than the large square.

image

Triangle side length patterns

If the three squares have have sides that make an acute triangle, then the sum of the two small squares are bigger than the large square. If the three squares have have sides that make an acute triangle, then the sum of the two small squares are smaller than the large square. If the three squares have have sides that make an acute triangle, then the sum of the two small squares are equal to the large square.

image

Square roots

The square root is the product of the multiples of the same number. To estimate a square root, you have to find it whether its near the product of the same multiples of 1-12. So 1,4,9,16,26,36,49, etc. then you have to choose between the two to round them. Perfect squares are like 144 and 81. Non perfect squares are 12 and 42.

image
Pythogoream thereom

The theorem is just about that the middle and small lengths are the same as the large. To find the missing hypnotize, you have to find the lengths of the middle and large, get the areas, add them, snd then square root that. To find a missing length, you subtract the areas of the hypntuse and the both lengths and square root that.

image