I need help studying for an oral exam , these are the topics she will be testing me on . Transformations Angle Measures Naming Polygons Symmetry Rotational Symmetry I need help on explaining rotational symmetry and angle measures . Thanks
If interested, Come on g-mail.
well symetry is easy it wether you can cut a figure evenly and all the peices look alike
rotationl symmetry is a bit harder
it is how many times the figure look the same after rotating it 45 degrees
u r in which class/std?
transformations is easy too
there are translations, reflections, dilation, and rotations
translations are simply moving the shape
reflections are the flipped figure of the original over a line
correct
dilations are changing the size, making it larger or smaller
just wait.
and rotations are rotated figures of the original
all these have formulas for certain transformations
angle measures, thats like sine cosine tangent, cosecant and sencant, and cotangents
as well as the special triangles
as well as the special triangles
as for naming polygons, polygons are classifying by the number sides they have.
for example pentagon hexagon heptagon octagon nonagon
of course triangle and square before pentagon
anything else in specific?
No thats it that is what she will be asking me on .
okay well good luck :)
Translations- Up-Down f(x)=x2 • f’(x)= f(x)+C=x2+C [UP] • f’(x)= f(x)-C=x2-C [DOWN] Graph for x2 + 3 looks like this: To move a function up, you add outside the function: f(x)+C is f(x) moved up C units. Moving the function down works the same way; f(x)-C is f(x) moved down C units. Left-Right f(x)=x2 • f’(x)= f(x+C)=(x+C)2 [LEFT] • f’(x)= f(x-C)=(x-C)2 [RIGHT] Graph for (x + 3)2 looks like this: To shift a function left, add inside the function's argument: f(x + C) gives f(x) shifted C units to the left. Shifting to the right works the same way; f(x – C) is f(x) shifted C units to the right. Reflections:- Up-Down f(x)=x2 • f’(x)= -f(x)=-(x)2 [X-AXIS MIRROR REFLECTION] Graph for –x2 looks like this: -f(x) is the x-axis mirror image of f(x). Left-Right f(x)=x3 • f’(x)= f(-x)=(-x)3 [Y-AXIS MIRROR REFLECTION] Graph for –x3 looks like this: f(–x) is the y-axis mirror image of f(x). Functions with symmetry graph. Even Function- • f is even function if f(-x)=f(x) • Even functions are symmetry about y-axis. • Cosine is an even function. Odd Function- • f is odd function if f(-x)=-f(x) • Odd functions always pass through origin. • Odd functions graph remains unchanged after rotation of 1800 about the origin. • Sine is an odd function.
Join our real-time social learning platform and learn together with your friends!