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17 Cards in this Set
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TransformationsConcruentreflections

think of a cross and a reflection of a truck on either side of the horizontail relfection of a pickup truck

reflectionpickup truck


TransformationsSymmetry

A line straight up and down

straight up or down


TransformationsRotation

think of a clock that is around of a cross

rotation


Transformationstranslations

think of sliding as translations



COORDINANTE PLANE CONCEPTS
SLOPE/2, 
CHANGE IN Y/CHANGE IN X=YYSUB1/XXSUB1

SLOPE FORMULA


COORDINANTE PLANE CONCEPTSMIDPOINTE

AVERAGE OF THE ENDPOINT COORDIATES=[XSUB1+XSUB2/2,YSUB1+YSUB/2]



COORDINANTE PLANE CONCEPTSPARALLELS:SLOPES ARE

SLOPES ARE EQUAL



PERPENDICULARS

SLOPES ARE NEGATIVE RECIPROCALS OF EACH OTHER



DISTANCE DEFINED

D=RADICAL(YSUB2Y)^2+(XSUB2XSUB1)^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=3/4X3



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=3/4X3,THE SLOPES OF PARALLEL LINES ARE EQUAL. THE EQUATION OF THE SECOND LINE IS Y=3/4X3,LETTER B



DO EXAMPLE 3AND 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 3The 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 yaxis, tou will be at the 150 deg. angle. This means the only diffrence in their coordinates is that the xcoordinate is negaitve. Since cosine=X coorinate, the value of the cosine is negative, it would be come, the value of 150 is .866

