Chapter 3 Portfolio by Lexi Todde

Learning Target #1

atodde303 — 2013-10-18 23:32:11 UTC

Learning Target 1 focuses on the concept of congruent figures and this teaches me that skill because it clearly shows and labels that the angles and sides are congruent on corresponding parts of the triangles.

Learning Target #2

atodde303 — 2013-10-18 23:38:57 UTC

Learning Target 2 is accurately identifying the coresponding parts of figures. I thought this example from notes supported this because CPCTC is basically proving which corresponding parts are congruent in figures. This helps me understand that because it clearly labels which parts are corresponding angles and segments and is in a language i understand because I wrote these notes for myself.

Learning Target #3

atodde303 — 2013-10-18 23:39:06 UTC

Learning Target 3 is if i can identify included angles and sides. This helps me to understand this because it shows me that the included angle is the one in between the two sides that are congruent. I didn't understand this concept at first, but now I know that because of this I have to use SAS and ASA more carefully because of it.

Learning Target #4

atodde303 — 2013-10-18 23:39:23 UTC

Learning Target 4 is if I can apply the SSS postulate. This shows that I am able to because this was done by me in homework. SSS stands for side, side, side and is a way to prove triangles congruent. All pairs of the sides on a triangle have to be congruent to use this method.

Learning Target #5

atodde303 — 2013-10-18 23:39:34 UTC

Learning Target 5 is the SAS postulate. This example from homework shows that the triangles in the picture are congruent using two sides and an angle. However, the angle has to be an included angle between the two sides or this method would be incorrect.

Learning Target #6

atodde303 — 2013-10-18 23:39:47 UTC

Learning Target 6 is the ASA postulate. This is done by proving two angles congruent and a side congruent on two triangles to say that the triangles as a whole are congruent. This shows that because it is an example of a proof that uses this exact postulate of ASA (angle, side, angle). And ASA has to be done where the side is an included side of the triangles or it will not work.

Learning Target #7

atodde303 — 2013-10-18 23:39:58 UTC

Learning Target 7 is applying the CPCTC method that says that congruent parts of congruent triangles are congruent. This is done by proving two triangles congruent and then proving that another piece of the triangles is congruent too, based on the fact that the original two triangles were congruent. This shows that because it clearly demonstrates the method using CPCTC.

Learning Target #8

atodde303 — 2013-10-18 23:40:04 UTC

Learning Target 8 is recognizing basic properties of circles. This includes things like the radius, diameter, and center point of circles. No matter the size of the circle, there will always be a diameter, radii, and a center point. This is shown in my notes because it labels what each thing is on a circle. This helped me understand the concept because it is short, clear, and in my own words.

Learning Targets #9

atodde303 — 2013-10-18 23:40:12 UTC

Learning Target 9 is knowing the circumference and area formulas for circles. My notes help me understand this because it clearly gives the formula of each and what each thing is.

Learning Target #10

atodde303 — 2013-10-18 23:40:19 UTC

Learning Target 10 is that I can identify medians and altitudes of triangles. This example from notes shows how medians and altitudes are used in diagrams. This helps me because it is clear as to what each of the terms are. The only thing that I still have some trouble figuring out, is te difference between the two. Sometimes in proofs, the median acts just as though an altitude would, except that an altitude always forms right angles.

Learning Target #11

atodde303 — 2013-10-18 23:40:33 UTC

Learning Target 11 is understanding why auxiliary lines are used in some proofs. This example from homework helps me to understand this because it shows how sometimes in order to prove that triangles are congruent you first have to draw in a line or two to actually form triangles. I was a little confused about this concept at first, but after doing a few problems like this one, I now understand how auxiliary lines are used.

Learning Target #12

atodde303 — 2013-10-18 23:40:42 UTC

I can write a proof that goes beyond step CPCTC is Learning Target 12. This is fairly easy to do as shown in the example I took from homework. This helped me to understand this concept because it directly shows how to do a proof where you go past CPCTC to try to finish the proof.

Learning Target #13

atodde303 — 2013-10-18 23:40:51 UTC

I can use overlapping triangles in proofs and this example from homework shows that I know how to do it. This example is of a proof where I had to prove that two triangles were congruent, but they were overlapping. My only challenge that I still face with this kind of problem is that sometimes I am unaware of what triangles to use. Sometimes the diagrams are confusing to read and determine and I do not know which triangles will help me proof what I want to.

Learning Target #14

atodde303 — 2013-10-18 23:41:01 UTC

Learning Target 14 is that I can name the various types of triangles and their parts. That is demonstrated in these notes because it shows and acute triangle, a right triangle, and an obtuse triangle. This helps me understand the differences between the three because I am able to clearly see how they are alike and different from each other.

Learning Target #15

atodde303 — 2013-10-18 23:41:14 UTC

Learning Target 15 is being able to apply theorems relating angle measures and side lengths of angles. This example from my notes helps me to understand this concept by showing me that the segment across from the largest angle is also the largest segment. It shows me that opposite segments and angles have the same measure.

Learning Target #16

atodde303 — 2013-10-18 23:41:42 UTC

I can use the rHL postulate to prove right triangles congruent. At first, I had a hard time understanding this concept. But, after doing some examples in class and in homework, I am finally starting to get it. This shows me how to prove right triangles congruent but rHL because it shows two right triangles that have congruent angles, congruent hypotenuses and one pair of congruent legs.

Learning Target #17

atodde303 — 2013-10-18 23:41:53 UTC

Learning Target number 17 is that I can copy a segment and an angle with a compass and a straightedge. This picture helps me understand this because it shows step by step what to do to copy an angle. I still struggle with this though, as we have only used the compasses once in class.

Learning Target #18

atodde303 — 2013-10-18 23:42:01 UTC

Learning Target 18 is that I can bisect an angle using a compass and straightedge. I actually understand this as we did it in class once during chapter 2. I think I could still use a lot of practice at it, but I know what steps you have to take to get there. This picture clearly displays what to do first, second, and third when bisecting an angle.

Learning Target #19

atodde303 — 2013-10-18 23:42:08 UTC

Learning Target 19 is the I can copy a triangle using a compass and a straightedge. I had no idea how to do this because we have never done it in class before, but after looking it up, I somewhat understand what is needed in order to copy a triangle. The only thing that we did in class that was similar to this was trying to draw a triangle that we could not see, by asking as little questions as we could.