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34 Cards in this Set
- Front
- Back
- 3rd side (hint)
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Vertical Angle Theorem
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VAT
Vertical angels are congruent |
YOURE A LOSER
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Reflexive Property
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Any line is congruent to itself
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YOURE A LOSER
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Triangle Sides and Angles
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Works: SAS, SSS, ASA
Doesn't Work: AAA, ASS These lead to: CPCTC |
YOURE A LOSER
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Triangle angle sum theorem
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all angles add up to 180 degrees
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YOURE A LOSER
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Isosceles Triangle Theorem
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-In an isosceles triangle, the base angles are congruent.
-If two angles in a triangle are congruent, then the two sides opposite the angles are congruent, making the triangle isoclese |
YOURE A LOSER
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Triangle Inequality Theorem
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a. The smallest side of a triangle is opposite the smallest side
b. The biggest side of the triangle is opposite the biggest angle |
YOURE A LOSER
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Triangle Perimeter
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The third side of a triangle is greater than the different, but less than the sum
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YOURE A LOSER
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Midpoint Formula
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((x1+x2)/2) , ((y1+y2)/2)
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YOURE A LOSER
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Supplementary Congruence
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If two angles are supplementary and congruent, they are right angles
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YOURE A LOSER
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Types of Triangles
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Right- has one right angles
Obtuse- one obtuse side acute- all acute sides equilateral- all equal sides isosceles- at least 2 congruent sides scalene- no congruent sides |
YOURE A LOSER
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Sinx
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Opp/Hyp
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Cosx
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Adj/Hyp
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Tanx
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Opp/Adj
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Midline Theorem
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- midline is half the base and parallel
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No choice
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if two triangles have two pairs of congruent angles, then the other two angles are congruent
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Similar Triangle Theorem 1
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- If all 3 pairs of corresponding sides are in the same ratio, then the triangles are similar
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Similar Triangle Theorem 2
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if two sides of two triangles are in the same ratio and the angles between the two sides are congruent, then the triangles are similar (SAS)
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Sidesplitter Theorem
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if a line is parallel, you can draw it anywhere to split a side on a triangle to make two similar triangles
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angle bisector theorem
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angle bisector divides the opposite side into piece proportional to the side
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Circumfrance
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2(pie)r
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area
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(pie)r^2
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distance formula
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Square of:
(x2-x1)^2 + (y2-y1)^2 |
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Inscribed angle theorem
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an inscribed angle (of a circle) is an angle whose vertex is on the circle
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Pythagorean Theorem
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if 'a' and 'b' are sides of a right triangle, and 'c' is the hypotenuse, then a^2+b^2=c^2
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Volume of a Circle
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(4/3)(pie)r^3
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sittin' in the livin' room on the floor
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Law of Cosines
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theorem the angle between the two sides NO LONGER needs to be 90
c^2=a^2+b^2-2(a)(b)(cos gamma) |
hunger pain got me on some migraine shit
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Area of a Trapezoid
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1/2(h)(b1+b2)
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but imma maintain
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Another area of square
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(s)(s)=s^2
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got 2-3 dollas to my name
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Inscribed angle theorem
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(of a circle) is an angle whose vertex is on the circle
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and my homies in the same boat
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Circle
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a circle is a set of all points with distance r (called radius) from a given point P (center)
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goin' through the same thing
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AAA Postulate
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if corresponding in two triangles are congruent, then the triangles are similar
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purrrrrrrrr
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AA Theorem
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if two triangles have two pairs of congruent angles, then the triangles are similar
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me0w
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Handshakes
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Diagnals+sides
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Diagonals
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Handshake-side
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