Question

Determine weather each statement is a good definition. If not, explain.

23. A liniar pair is a pair of adjacent angles whose noncommon sides are opposite rays.
24. An angle is a geometric figure.
25. Write the following definition as a biconditional:

An oxymoron is a phrase that contains contradictory terms.

First time using the site! Help much appreciated!

Answer 1

It is best to post one question per thread.
Given this is your first time, here, we'll do three in one thread together.

Answer 2

23. A linear pair is a pair of adjacent angles whose noncommon sides are opposite rays.

Look at examples here: http://www.mathwords.com/l/linear_pair_of_angles.htm

Answer 3

Thank you so much! I had no idea what I was doing so I lumped them... :/

Answer 4

What do you think is the answer to #23? The common side of the angles is the ray they share. So, the two noncommon sides are the sides that form a line.

Answer 5

I would assume that 23 is a good definition, correct?

Answer 6

Correct.

Answer 7

#24 24. An angle is a geometric figure.

Think of this: a triangle is a geometric figure. So would defining an angle as a geometric figure be a good definition?

Answer 8

I don't think an angle is a geometric figure... am I right? If not, what is it that makes it a geometric figure?

Answer 9

This is because a geometric figure is a closed series of line segments, and an angle is simply two segments together. It's impossible to make a closed shape with three lines.

Correct?

Answer 10

Yes, you are correct.

You can read the angle definition here: http://www.mathwords.com/a/angle.htm

Answer 11

Awesome! Sometimes you know it, but you just need confirmation.

Answer 12

Geometric Figure: Geometric Figure

Any point, line, segment, ray, angle, polygon, curve, region, plane, surface, solid, etc. Formally, a geometric figure is any set of points on a plane or in space.

That encompasses many figures.

Answer 13

A biconditional is a type of statement from symbolic logic that involves the phrase "if and only if." A biconditional serves as a definition of whatever the biconditional is "talking" about.

Answer 14

Got it. sooooo... give me a sec while I quick figure it out...

Answer 15

Attached is a blurb about biconditionals.

Answer 16

A phrase is an oxymoron if and only if it contains contradictory terms.

Answer 17

An oxymoron is a phrase that contains contradictory terms.

Dissect this into:

If a phrase contains contradictory terms, then it is an oxymoron.
and
If a statement is an oxymoron, then it is a phrase containing contradictory terms.

Answer 18

Did I answer correctly? or did I accidentally insert the converse of the biconditional?

Answer 19

A phrase is an oxymoron if and only if it contains contradictory terms.

Correct.

Sometimes written as:

Oxymoron <-> phrase containing contradictory terms.

That means that this statement: If a phrase contains contradictory terms, then it is an oxymoron AND its converse are both simultaneously true.

In general terms, a<->b means a implies b AND b implies a.

Answer 20

Which is a if and only if b.
Or, you could write b if and only if a.

Answer 21

AWESOME! Thank you so much. I learned a lot about the subject and how to use the site. How do I reward you with those medal things?

Answer 22

Thank you. Just click on "Best Response" next to any rectangle in which I posted.

Answer 23

There we go! Thanks so much!
I was seriously wondering if anyone would ever answer, lol! XD

Answer 24

Just so you know. You can take medals back.
Also, don't award a medal until the helper completes the problem with you.
You can award only one medal per thread.
You do not have to award any medals.

Answer 25

Great!