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Sum of interior angles
180 degrees
Pythagoras theorem
A square+ b square= c square
Supplementary
180
What are corresponding angles
Equal on parallel lines
Sum of interior angles of a quadrilateral
360 degrees
Cointerior
Volume of prism
Base area x height
Co interoir
180
What is a supplementary angle
Two angles add up to 180
What is the difference between congruent and similar shapes?
Congruent shapes are the same size and shape; similar shapes have the same shape but different sizes.
How do you find the midpoint of a line segment?
Midpoint = (x1+x2/2, y1+y2/2
What is the formula for the area of a trapezium?
½ (a +b) x h ( a and b are parallel sides)
Complementary
Supplementary
= 180
Revolution
360
Vertically opposite
Equal
Alternate angles
Equal
Corresponding angles
Equal
Co interior angles
Supplementary a+b=180
Equilateral
All 3 sides are equal all angles are 60 degrees
Isosceles
2 sides and angles are equal
Scalene
No sides equal, all angles different.
Acute
All angles less than 90 degrees
Right angle
One 90 degree angle
Obtuse
One angle greater than 90 degrees
Sum of interior angle
180 degrees
Exterior angle
Sum of two opposite interior angles
Quadrilateral
4 sides 4 angles
Quadrilateral interior angles
Add up to 360 degrees
What does the discriminant tell us?
> 0 → 2 real solutions
= 0 → 1 real solution
< 0 → No real solution
Discriminant
B square -4ac
How are quadratics used in real life problems?
They can model area, height vs time, projectiles, profit, etc.
Usually involves finding maximum or minimum values (the vertex).
Adjacent
two angles that share a common vertex and a common side, but do not overlap
Parallelograms
Two pairs of parallel sides
Rectangle
Parallelograms with all angles of 90 degrees
rhombuses
Parallelograms with sides of equal length
Pentagon sides
Hexagon sides
6
Octagon sides
8
Nonagon sides
9
Decagon sides
10
Square
Squares that are both rectangles and rhombuses
Kites
Two pairs of equal adjacent sides
Trapeziums
Quadrilateral with at least one pair of parallel sides