Extra Credit for the first 10 people in each class that comment with the correct answer before Friday 9/23/2011. Make sure to put your first name and period.
Geometry
What are the three important things to know about parallel lines in order to do a proof?
Algebra
When should you clear a fraction and how?
26 comments:
Geometry:
you need to know about theorem 3-3(Converse of the Alternate Interior Angles Theorem) which is: if alternate interior angles are congruent, then the lines are parallel. Also Theorem 3-5 which is: if two lines are parallel to the same line, then they are parallel to each other. And lastly theorem 3-6 would be needed which is: In a plane, if two lines are perpendicular to the same line, then they are parallel to each other.
Mohamed Kharaev
Period 1
Make sure that you are reading the questions and answering completely.
If two lines are parallel to each the same line, they are parallel, if two lines are perpendicular to the same line, they are parallel, and if two lines and a transversal form same-side interior angles that are supplementary, then the two lines are parrllel
-Brent Owens Period 1
Geometry
You clear a fraction by multiplying it's reciprocal and when the fraction can turn the problem " ugly."
Kaylene Lim
Period 6
Or just when you want to simplify the equation
Continued from my last comment :)
Kaylene Lim
Period 6
to clear a fraction you multiply the fraction by its reciprocal and you clear it when you have an equasion and want a whole #
Three important things to know about parallel lines are that:
1. Postulate 3-1
If a transversal intersects two parallel lines, then corresponding angles are congruent.
2. Theorem 3-1
If a transversal intersects two parallel lines, then alternate interior angles are congruent.
3. Theorem 3-2
If a transversal intersects two parallel lines, then same-side interior angles are supplementary.
Peter
Period 3
Ashtyn Period.6
You should clear a fraction when you are solving multi-step equations. You clear them by multiplying both sides of the equation by the reciprocal.
Joelle Lum Per. 6
You would clear it when your problem will become 'ugly' and you do that by multiplying by its reciprocal.
Joey Ganley Period 1 Geometry
Just a guess but postulate 3-1, theorem 3-1, and theorem 3-2. Postulate 3-1 is "If a transversal intersects two parallel lines, then corresponding angles are congruent." Theorem 3-1 is "If a transversal intersects two parallel lines, then alternate interior angles are congruent." Theorem 3-2 is "If a transversal intersects two parallel lines, then same-sided interior angles are supplementary." Sorry for really long answer.
Bradley Iverson Period 6 Algebra
When should you clear a fraction and how?
You should clear a fraction when you are trying to find what number the variable is. You clear a fraction by multiplying it (the fraction) by the least common denominator.
Simren Lakhotia-Period 1
1. Alternate interior angles are congruent.
2. Same-side interior angles are supplementary.
3. Corresponding angles are on the same side of the transversal and in corresponding positions.
3 important things to know about parallel lines are:
1. Postulate 3-2 If two lines and a tranversal form corresponding angles that are congruent, then the 2 lines are parallel.
2. Theorem 3-3 If 2 lines and a tranversal form alternate interior angles that are congruent, then the 2 lines are parallel.
3. Theorem 3-4 If 2 lines and a transversal form same-side interior angles that = 180, then the 2 lines are parallel.
Noelle M. Per.3
Sneha S. geometry per 1
1. if 2 lines and a transversal form corresponding angles that are congruent , then the two lines are parallel. (Postulate 3-2)
2. if two lines and a transversal form alternate interior angles that are congruent, then the two lines are parallel. (Theorem 3-3)
3. if two lines and a transversal form same-side interior angles that are supplementary,then the two lines are parallel. (Theorem 3-4)
to clear a fraction, you are eliminating the fraction part of the equation. to do that, you have to find the least common denominator of the fraction (on the lower number.) once you find the common denominator, you have to multiply that number on every part of the whole equation. then, all the fractions are cleared from the equation, and it isn't ugly.!!
you clear a fraction when the equation is an ugly equation with lots of fractions. and you have to do it the first step because otherwise, your problem will be ugly and harder to solve! (:
lily, period 5
Joelle Lum Per. 6
You'd clear a fraction by its reciprocal and when the problem will become 'ugly'.
1. Identify transversal of the parallel line to find each measure of all angles to see how they correspond.
2. Use properties of parallel lines- each theorem and postulate.
3. Use transversal to see if two lines are parallel to each other in order to be able to solve angle measures.
-Raven Thio Period 3
Geometry Extra Credit
When doing a proof, it's important to know what a transversal is, how to identify the different angles(same-side interior, corresponding, or alternate interior), and the Postulate 3-1.
-Pauline Ordonez, Period 1
When doing a proof, it's important to now what a transversal is, how to identify the different angles (same-side interior, corresponding, or alternate interior)and the Postulate 3-1.
-Pauline Ordonez, Per 1
You should clear a fraction when you look at a problem with a fraction and if using the fraction would make the problem "ugly" than you find the LCD or least common denominator of the fractions.
Jack Leib Per. 6 Algebra
1. alternate interior angles are congruent
2. corresponding angles are congruent
3. same-side interior angles are supplementary
Natalie F. Period 1
Important things to know about parallel lines
1. Postulate 3-1/ Corresponding Angles Postulate
If a transversal intersects two parallel lines, then corresponding angles are congruent.
2.Theorem 3-1/ Alternate Interior Angles Theorem
If a transveral intersects two parallel lines, then alternate interior angles are congruent.
3. Theorem 3-2/ Same-Side Interior Angles Theorem
If a transversal intersects two parallel lines, then same-side interior angles are supplementary.
Three important things to know about parallel lines in order to do a proof are: alternate interior angles, same-side interior angles, and corresponding angles.
Jiwon Lee
Period 3
Alexis W. Per 3:
Postulate 3-1: If a transversal intersects two parallel lines, then corresponding angles are congruent, Theorem 3-1: If a transversal intersects two parallel lines, then alternate interior angles are congruent, and Theorem 3-2: If a transversal intersects two parallel lines, then the same side interior angles are supplementary.
Three important things to know about parallel lines in order to do a proof are: if a transversal intersects two parallel lines, then corresponding angles are congruent (Postulate 3-1); if two lines and a transversal form corresponding angles that are congruent, then the lines are parallel (Postulate 3-2); and if a transversal intersects two parallel lines, then the same-side interior angles are supplementary.
-Tori Alandy, period 3 Geometry. :)
Same-side interior angles are supplementary.
Alternate interior angles are congruent.
Corresponding angles are congruent.
Glenn Teagle
Geometry
Period 1
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