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SAT MATH- Geometry
SAT MATH
| Question | Answer |
|---|---|
| Supplementary Angles | two angles that add (sum) up to be 180 degrees |
| Complementary Angles | two angles that add (sum) up to be 90 degrees |
| Parallel lines | Same slope but different y intercept |
| Perpendicular lines | Opposite (reciprocal) Slope |
| Triangles | The sum of the three angles of any triangle is 180 degrees |
| Isosceles Triangles | -2 congruent sides -2 congruent angles |
| Scalene Triangles | -3 non-congruent sides -3 non- congruent angles |
| Equilateral Triangle | all sides congruent all angle congruent |
| Area of a Right, Acute, Obtuse Triangle | Area= (1/2)BH Always draw a height on a triangle if it's not already here |
| Area of an Equilateral Triangle | Area= (√3/4) s² |
| 45-45-90 Right Triangle | x, x, x√2 |
| 30-60-90 Right Triangle- Scalene | x, x√3, 2x |
| Pythagorean Theorem | a²+b²=c² |
| Common Triplets | 3-4-5 15-20-25 7-24-25 6-8-10 5-12-13 8-15-17 |
| Similar Triangles | The Ratios of corresponding sides of similar triangles are equal. (a/d)=(b/e)=(c/f) |
| The three sides of a Triangle | The Sum of the lengths of any two sides of a triangle must be greater than the length of the third side. |
| The three sides of a Triangle (part 2) | The difference of the lengths of any two sides of a triangle must be less than the length of the third side |
| The Exterior Angle Rule | x+y(inside angles)=z(exterior angles) |
| Square | Area= s² Perimeter=4s |
| Rhombus | Area= (1/2)(Diagonal #1)(Diagonal #2) Perimeter=4s |
| Rectangle | Area= LW Perimeter=2(L+W) |
| Parallelogram | Area= LH Perimeter= 2(L+W) |
| Trapezoid | Area=((base #1 +base#2) /2)H Perimeter= Sum of all sides |
| Figures with Three or more sides | sum of interior angle= (n-2)180 |
| The area of a whole circle | π r² |
| The area of a fractional area | (x degrees/360) π r² |
| The circumference of a whole circle | 2 π r |
| The circumference of a fractional circle (arc) | (x degrees/360)2 π r |
| 2D Shapes | Perimeter: Sum of sides Area: Base X height |
| 3D Shapes | Surface area: Sum of area of all shape Volume: Base area X Height |
| Rectangular Solid | Surface area= 2LW +2WH+2LH volume= LWH Diagonal= √L²+√W²+√H² |
| Cube | Surface Area= 6s² Volume=s^3 Diagonal= √3s² |
| Cylinder | Surface Area= 2( π r²)+ (2 π r)h Volume= (π r²)h |
| Right Circular Cone | volume=(1/3)π r²h Surface Area=(1/2)(2πr * Slant Height) + (Base Area~π r²) |
| Right Square Pyramid- A26 | Volume= (1/3)( Base area * Height) Surface Area = (1/2)(Perimeter * Slant Length) + Base area |
| Sphere | VOLUME= (4/3)π r^3 Surface Area= 4π r² |
| volume of any figure which the bases that are both perpendicular to the height | Volume= Area of base * Height |
| Midpoint Formula | ((x^1+x^2)/2)), ((y^1+y^2)/2) |
| Distance Formula | √(x^2- X^1)^2 + (y^2- y^1)^2 |
| Area of polygon Tips | Split up the area into parts, find the area of each part and calculate the sum of the area and look for Familiar Shapes |
| Trignometry | SOH-CAH-TOA ALL STUDENTS TAKE CALCULUS |
| General formula of Equation: y= asin(bx)+c | Change a=amplitude increase amplitude b= period increase b decreases period c= vertical shift increase c increase vertical shift |
| Law of sines | (a/sinA)=(b/sinB)=(c/sinC) |
| Law of Cosines | a²=b²+c²-2bc Cos A |
| Equation of a Circle | (x – h)^2 + (y – k)^2 = r^2 |
Created by:
ahmedmaryam689