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17 Cards in this Set

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Transformations-Concruent-reflections
think of a cross and a reflection of a truck on either side of the horizontail relfection of a pickup truck
reflection-pickup truck
Transformations-Symmetry
A line straight up and down
straight up or down
Transformations-Rotation
think of a clock that is around of a cross
rotation
Transformations-translations
think of sliding as translations
COORDINANTE PLANE CONCEPTS
SLOPE/2,
CHANGE IN Y/CHANGE IN X=Y-YSUB1/X-XSUB1
SLOPE FORMULA
COORDINANTE PLANE CONCEPTS-MIDPOINTE
AVERAGE OF THE ENDPOINT COORDIATES=[XSUB1+XSUB2/2,YSUB1+YSUB/2]
COORDINANTE PLANE CONCEPTS-PARALLELS:SLOPES ARE
SLOPES ARE EQUAL
PERPENDICULARS
SLOPES ARE NEGATIVE RECIPROCALS OF EACH OTHER
DISTANCE DEFINED
D=RADICAL(YSUB2-Y)^2+(XSUB2-XSUB1)^2 OR USE PYTHAGOREAN THEORM
UNIT CIRCLE AND TRIG PROPERTIES
THE COORDIANTES OF THE POINTS ON THE UNIT CIRCLE INDICATETE THE VALUES OF THE COSINE AND SINE OF ANGLES (COSINE,SINE) TO FIND THE SIGN AND COSINE OF ANGLES OF THE OTHER THREE QUADRANTS, USE REFLECTIONS. THE TANGENT IS THE RATIO OF SIN/COS
DO EXAMPLE PG 84 EXAMPLE 1
FINSIH EXAMPLE PG 84, DO YOU UNDERSTAND CONCEPT?IS Y=3/4X-3
EXAMPLE 2:IF TWO PARALLEL LINES WITH EQUATIONS Y=3/4X+6 AND Y=MX+3 , THIS IS PARELLEL SIDESS OF A RHOMBUS. WHAT IS THE SECOND EQUATION OF THE LINE
SOLUTION: Y=3/4X-3,THE SLOPES OF PARALLEL LINES ARE EQUAL. THE EQUATION OF THE SECOND LINE IS Y=3/4X-3,LETTER B
DO EXAMPLE 3-AND UNDERSTAND THE CONCEPT PAGE 85
DO YOU OTHERSTAND THE CONCEPT?
UNIT CIRCLE AND TRIG PROPERRTIES
THE COORDINATES OF THE POINTS ON TEH UNIT CIRCLE INDICATE THE VALUES OF COSINE AND SINE OF THE ANGLES (COSINE, SINE) tO FIND THE COSING OR SINE OF ANGES IN THE OTHER THREE USE QUADRANTS, USE REFLECTIONS THE TANGENT RATIONAL IS SIN/CON
THINK OF FOUR MAJOR AQUADRENTS
USE THESE EXAMPLES AND MEMORIZE THEM FOR UNIT CIRCLE AND TRIG. PROPERTIES
FIRST 60(5(X),.866(Y))={1/2, RAD 2/2)
SECOND 45(.707(X),.707(Y))=(RAD.2/2,RAD 2/2)
EXAMPLE 1 IF THE TRIANGLE ABC THAT IS SHOW AT THE RIGHT IS X,Y TRANSLAT3ED SUCHT THAT POINTY a MOVES TO A'(2(X),-3(Y))
since the value of xcoordinats has been increased by 3, and tehe coordinates of y have been decreased by 4. Point A(1,1) IS TRANSLATED TO A'92,3)
EXAMPLE 3-The Graph t the right is the first quadrant gaph of the unit circle. The coordinates on the circle indicate the COSINE VALE AND SINE VALUYE, reapectivley, of the angles (cosine,sine), determin the cosine value of a 150 degree angle
Solution I If you reflect the 30 degress across he y-axis, tou will be at the 150 deg. angle. This means the only diffrence in their coordinates is that the x-coordinate is negaitve. Since cosine=X coorinate, the value of the cosine is negative, it would be come, the value of 150 is -.866