Help me study geometry?
I need answers to these questions.
20: What is the vertex form of a parabola?
21: How do we write the equation of a circle?
22: How do we solve quadratic equations by completing the square?
23: How do we solve systems of equations graphically?
24: How do we graph systems of equations algebraically?
25: What are the parts of a circle?
26: How do we proves chords and arcs congruent if central angles are congruent?
27: What relationships exist if a diameter is perpendicular to a chord?
28: What are other theorems involving the chords of a circle?
29: How do we write proofs using circle theorems?
30: What are the theorems involving tangents of a circle?
March 28, 2012
11 Comments • Newest first
[quote=xShirayuki]~The day after the test~
the TS is asleep in Geometry class[/quote]
You know me too well.
I have a test tomorrow, and I'm seriously regretting sleeping in class, okay?
[quote=xShirayuki]Well, I think a decent teacher would be able to tell if a student is SLEEPING in class.[/quote]
Obviously. But there's tons of classrooms around the country that have students more focused on avoiding work than anything else. I've been an in-class tutor for a few months now, so I've seen both sides here. Granted, the classes I tutor are worse than the average class, but you can't expect a teacher to spend all the time yelling and trying to keep kids awake. If the student shows no interest of initiative, then the teacher's not going to give it that much concern (nor should they have to). They focus on being a resource to the kids that actually care. Students like the TS, who prefer to sleep in class, aren't going to be pampered by the teacher to get them caught up.
[quote=xShirayuki]As for teaching outside of class, a quick Google search can solve most, if not all, of these problems.[/quote]
... Which supports the point I was trying to make. Blaming the teacher is, in most cases, stupid when you have so many other resources available.
[quote=ToxicEffect]They obviously aren't doing their job, otherwise you'd know this stuff.[/quote]
That's pretty wrong. It's not like all students do their best to pay attention in class and have no ability to teach themselves outside of class.
Completing the square is pretty easy, just a way to derive the quadratic formula.
ax^2 + bx + c = 0
a(x^2+(b/a)x+(c/a))=0
Take (x+(b/2a))^2: expands to x^2+(b/a)x + (b^2)/(4a^2)
How do we make this equal to the original?
a(x^2+(b/a)x+(c/a)) = a ((x+(b/2a)^2) - (b^2)/(4a^2) + c/a) = a((x+b/2a)^2) -b^2/4a + c
[quote=xShirayuki]20. y=a(x-h)^2 +k
21. A= pi * r^2
22. Take the value of 'b' and divide by two. Then take that value and square it. Then take THAT value and add it to both sides of the equation. Or if it's a expression, add it and its opposite
23. Find the points of intersection
24. Dunno
25. Center, Circumference, Radius, Diameter, Chord, Arc I dunno :T
EDIT: 27: The chord is bisected
EDIT2: 28. If two chords intersect in a circle, then the value of the product of the lengths of the two parts of the chord will be equal to the value of the product of the lengths of the two parts of the other chord[/quote]
Elaborate on y=a(x-h)^2 +k?
[quote=ToxicEffect]They obviously aren't doing their job, otherwise you'd know this stuff.[/quote]
I sleep in class, okay?
[quote=DrHye]Just about all of this should be in your book. o_o[/quote]
The stuff is in random order in the textbook. One of these aims is in chapter 5, the next is in chapter 12.
@Above Analytical geometry.
Just about all of this should be in your book. o_o
I actually need a formula to find the vertex of a parabola.
vertex = the very bottom of the function on a graph
Circle = piR^2, or like (x - h)^2 + (y - k)^2 = r^2
im sure you can google these
I haven't taken Geometry in 4 years.