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| How to go from short leg to hypotenuse in a 45-45-90 triangle |
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How to go from short leg to hypotenuse in a 45-45-90 triangle
x times radical 3
How to go from short leg to long leg in a 30-60-90 triangle |
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| how to find the area of a sector |
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| (x-h)squared + (y-k)squared = (r)squared |
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| Standard equation of a circle |
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| If p->q and p is true, then q is true |
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| Two perpendicular lines have _______ slopes and they are _______ |
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| Five methods to prove the congruency of triangles |
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| Three methods to prove triangles are similar |
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| SSS ~(the ratio of the sides), AA~, SAS~ |
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| 90 degree counterclockwise rotation |
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| 180 degree counterclockwise and clockwise rotation |
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| 270 degree counterclockwise rotation |
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| 90 degree clockwise roation |
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| 270 degree clockwise rotation |
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| Figure can be rotated about a point 180 degrees and look identical to the original figure |
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| Area and circumference of a circle |
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C= 2(pi)r
A= (pi)r(squared) |
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| SA and volume of a triangular prism |
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| SA and volume of a square pyramid |
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V= 1/3 Bh
SA= 4 [1/2 slant heightXb] + B |
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| SA and volume of a cylinder |
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V= (pi)r(squared)h
SA= 2(pi)r(squared) + 2(pi)rh |
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V= 1/3(pi)r(squared)h
SA= (pi)r(squared) + (pi)rXslant height |
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| SA and volume of a sphere |
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V= 4/3(pi)r(cubed)
SA= 4(pi)r(squared) |
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| SA and volume of a hemisphere |
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V= 2/3(pi)r(cubed)
SA= 3(pi)r(squared) |
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| A= x/360 times (pi)r(squared) |
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| d=√((x_2-x_1)²+(y_2-y_1)²) |
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| Converse of The Pythagorean Theorm |
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If the Sides of the triangle satisfy C^2= A^2+b^2
then the triangle is a RT |
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| Volume & Surface Area of a Cylinder |
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| V= πr^2 (h) SA=2πr(h) + 2πr^2 |
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Circle
Angle by Tangent/Chord |
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| Area of a regular Polygon |
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| Surface Area and Lateral Area of prisms |
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| Equations of circle center at origins |
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| Equation of circle not at origins |
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| What is the converse of the statement "If today is Sunday, then tomorrow is Monday"? |
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| If tomorrow is Monday, then today is Sunday. |
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If tomorrow is Monday, then today is Sunday.
What is the converse of the statement "If today is Sunday, then tomorrow is Monday"?
-22
On a coordinate grid, segment AB has endpoint B(24, 16). The midpoint of AB is P(4, -3). What is the y-coordinate of Point A? |
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| How to write an equation - SPY |
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| S means solve for slope, P means plug into Point Slope Form, Y means solve for y |
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| Changes the shape of the figure by a scale factor. You multiply the coordinate by the scale factor. If the scale factor is greater than 1, then it enlarges the figure. If the scale factor is a fraction between 0 and 1, then it reduces the figure. |
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| Turning the figure around a fixed point. If you rotate around the origin and land in QI X's are + and Y's are +. If you land in QII then x and y switch places and X's - and Y's are +. If you land in QIII then X's are - and Y's are -. If you land in QIV then x and y switch places and X's are + and Y's are -. |
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| Triangles that have congruent angles and proportional sides. The sides have the same scale factor. Possible ways two triangles could be similar: SSS, SAS, ASA. |
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| Polygon with congruent sides and congruent angles. The measure of one interior angle is always (n-2)180/n. |
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| Area of all the faces not including the bases. It is always smaller than surface area. To find it: think of how faces there are, draw them, find the area of each face, then add it together BUT DON'T INCLUDE THE BASES. |
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| reasoning based on patterns you observe, deriving general principles from particular facts or instances ("Every cat I have ever seen has four legs; cats are four-legged animals"). |
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| reasoning in which a conclusion is reached by stating a general principle and then applying that principle to a specific case (The sun rises every morning; therefore, the sun will rise on Tuesday morning.) |
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| Any segment or angle is congruent to itself. Use it in proofs to state how you know extra angles or sides are congruent. |
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| intersecting chords and finding segments |
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| If two circles intersect in a circle, then the product of their chord are congruent |
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| intersecting chords and finding an angle |
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| the angle = average of arcs |
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| angles on the outside of a circle |
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| angle = 1/2 of the difference of arcs |
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| Is about how much can a solid hold (capacity). You can find the volume of any prism and cylinder by (area of base)(height). For pyramids and cones 1/3(area of base)(height). |
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| Has a vertex on the circle and sides that contain chords of the circle |
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| Segment form a vertex to the line containing the opposite side and perpendicular to the line containing that side |
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| Alternate Exterior Angles |
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| angle pair outside two lines and on opposite sides of the transversal |
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| Alternate Interior Angles |
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| angle pair inside two lines and on opposite sides of the transversal |
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| third or non-congruent side |
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| point equidistant from all points of a circle |
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| angle who sides are radii |
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| Three of more points on the same plane |
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| two angles whose measures sum to 90° |
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| Definition of congruent triangles |
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| Point of intersection of three angle bisectors |
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| One of two congruent sides |
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| One of the sides not opposite the right angle |
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| Joins the midpoint to two sides of a triangle |
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| The arc which measures less than 180 degrees |
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| Through the midpoint and is perpendicular |
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| Fits the formula a^2+b^2=c^2 |
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| Quadrilateral with four congruent sides |
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| Arc which measures 180 degrees |
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| Lines which do not intersect, but are not parallel |
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| Quadrilateral with four right angle and four congruent sides |
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| Line intersecting a circle in exactly one point |
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| Formed by intersecting lines, share only a vertex |
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| Ratio of the circumference to the diameter of a circle |
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| The distance from the center to any point on the circle |
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| Triangle with no congruent sides |
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| Has a polygon base and triangular sides |
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| Point of intersection of the three altitudes |
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