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MaryJSmith
SWEET HOME ALABAMA !! Where I'll never get to go if I don't get this right:
Do you know about side-angle-side, or side-side-side?
Ya but it confuses me & 3 people today have tried to explain it to me but I just don't get it . And I don't have time for someone else to try to teach me , unfortunately.. :/
Brenda has established that segment YZ is congruent to segment BC. (one pair of sides) Brenda also knows that angle XZY is congruent to angle ACB. (one pair of angles) After marking up the diagram, Brenda notices that if she had segment XZ congruent to segment AC, then triangle XZY would be congruent to triangle ACB by the SAS Triangle Congruence Postulate where SAS indicates two sides and the included angle of one triangle being congruent to two corresponding sides and the included angle.
This is the next required step: segment XZ congruent to segment AC. Then, state that triangle XZY is congruent to triangle ACB because of SAS. That's it.
There's another way to prove the triangles congruent by ASA. Do you want to "hear" that?
@MaryJSmith --> Question for you here. :)
Brenda starts as she did before: Brenda has established that segment YZ is congruent to segment BC. (one pair of sides) Brenda also knows that angle XZY is congruent to angle ACB. (one pair of angles) The girl has to have another pair of angles OR another pair of sides to get the triangles congruent.
But, just ANY pair of sides or ANY pair of angles will not be okay. That's when Brenda remembers her triangle congruent postulates so she'll know which third pair is legit.
Are you following so far? I get that these problems are making you crazy.
Where we left Brenda: Brenda has established that segment YZ is congruent to segment BC. (one pair of sides) Brenda also knows that angle XZY is congruent to angle ACB. (one pair of angles) Brenda looks at the diagram and sees that if she knew Angle Y were congruent to Angle B, then she would have a third pair of congruent parts. Looking at those and marking them, Brenda sees that the triangles would be congruent by the ASA Triangle Congruence Postulate.
So , is that the answer . Cos maybe if we connected the question with the answer I could do it & then I wouldn't be so confused !! haha .
Brenda's next required steps: This is the next required step: Angle Y is congruent to Angle B. Then, state that triangle XZY is congruent to triangle ACB because of ASA. That's it. NOTE: I can see Alabama from my house.
Really ? That is so cool ! I love Alabama . I hopefully will move there one day :D
This may sound dumb but what does congruent mean again ? Doesn't it mean equal or the same or something ?
Congruent means having BOTH the same SHAPE and the same SIZE. The terms applies to all sorts of geometric figures. In the case of congruent angles, congruent means that the angles have the same shape and the same size. Their measures are equal. Think of you and then your age. You have the same size and the same shape as yourself but your age is a number associated with a way to measure you.
Ah , gotcha.. Good example by the way :) haa
Run over the two sides of angle A with a pencil. Then run over the sides of angle B with a pen. The segment that is both pen and pencil colored is the side between the two angles, the side INCLUDED between the two angles.
You have two answers (both correct) to the question. Take heart in that.
Haha okay :) Well , thank you :D
Okay, you have to learn (not memorize) those Geometry postulates. It will save you a lot of time and angst over these problems. Just saying.
I have memory loss . Trust me I've tried but I can't remember them..
Make something visual (flash cards) with drawings so that you can see them that way. You don't always have to call the name to know what it is.
Haha :) & ya ive found that i learn better visually & if its a song . bc for some reason i can remember the lyrics to any song after listening to it 1ce maybe 2ce but i cant remember something after reading it or hearing someone tlk or anything 5 mins later . i remember them , like , 5 yrs later haha (exxageration - more like 1 yr) but never soon after .
There are math songs - even one for the quadratic formula.