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17 Cards in this Set
- Front
- Back
- 3rd side (hint)
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Transformations-Concruent-reflections
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think of a cross and a reflection of a truck on either side of the horizontail relfection of a pickup truck
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reflection-pickup truck
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Transformations-Symmetry
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A line straight up and down
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straight up or down
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Transformations-Rotation
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think of a clock that is around of a cross
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rotation
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Transformations-translations
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think of sliding as translations
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COORDINANTE PLANE CONCEPTS
SLOPE/2, |
CHANGE IN Y/CHANGE IN X=Y-YSUB1/X-XSUB1
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SLOPE FORMULA
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COORDINANTE PLANE CONCEPTS-MIDPOINTE
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AVERAGE OF THE ENDPOINT COORDIATES=[XSUB1+XSUB2/2,YSUB1+YSUB/2]
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COORDINANTE PLANE CONCEPTS-PARALLELS:SLOPES ARE
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SLOPES ARE EQUAL
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PERPENDICULARS
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SLOPES ARE NEGATIVE RECIPROCALS OF EACH OTHER
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DISTANCE DEFINED
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D=RADICAL(YSUB2-Y)^2+(XSUB2-XSUB1)^2 OR USE PYTHAGOREAN THEORM
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UNIT CIRCLE AND TRIG PROPERTIES
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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
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DO EXAMPLE PG 84 EXAMPLE 1
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FINSIH EXAMPLE PG 84, DO YOU UNDERSTAND CONCEPT?IS Y=3/4X-3
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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
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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
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DO EXAMPLE 3-AND UNDERSTAND THE CONCEPT PAGE 85
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DO YOU OTHERSTAND THE CONCEPT?
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UNIT CIRCLE AND TRIG PROPERRTIES
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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
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THINK OF FOUR MAJOR AQUADRENTS
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USE THESE EXAMPLES AND MEMORIZE THEM FOR UNIT CIRCLE AND TRIG. PROPERTIES
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FIRST 60(5(X),.866(Y))={1/2, RAD 2/2)
SECOND 45(.707(X),.707(Y))=(RAD.2/2,RAD 2/2) |
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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))
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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)
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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
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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
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