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Topic: **How to write a congruence statement for polygons with right****Question:**
I have a quiz coming up in 2 days in my trigonometry and geometry class. Does anyone have any helpful advices on how to solve word problems. What do you do when trying to solve them? And in my geometry class we are studying about proofs. I understand everything except the 2 column proof table. Is there a certain step you have to take in order to prove the problem? For Ex: Line AB is congruent to Line BC. Prove Line BC is congruent to line AB. I don't get which step comes first in the proof table. I also don't understand the transitive and substitution property when applying them to polygons / angles. Help plz!!!

June 25, 2019 / By Ebony

I can help you with the geometry part. Given: Line Segment AB is congruent to Line Segment BC. Prove: Line Segment BC is congruent to Line Segment AB. Usually when I start doing proofs, I write down the given information on the left side and say "given" on the right side. Then I would write down what I need to prove and the reason. There are many ways to prove something. I have an example down below, using your example. Statement | Reason Line Segment AB is congruent to Line Segment BC | Given Line Segment BC is congruent to Line Segment AB | Symmetrical Property of Congruence Transitive: Let's say you're given A = B and B = C. What does A equal? A = C. That's the transitive property. Substitution: You're given A = B. If B + C = D, then A + C = D. Hopefully I didn't confuse you o.O

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I can help you with the geometry part. Given: Line Segment AB is congruent to Line Segment BC. Prove: Line Segment BC is congruent to Line Segment AB. Usually when I start doing proofs, I write down the given information on the left side and say "given" on the right side. Then I would write down what I need to prove and the reason. There are many ways to prove something. I have an example down below, using your example. Statement | Reason Line Segment AB is congruent to Line Segment BC | Given Line Segment BC is congruent to Line Segment AB | Symmetrical Property of Congruence Transitive: Let's say you're given A = B and B = C. What does A equal? A = C. That's the transitive property. Substitution: You're given A = B. If B + C = D, then A + C = D. Hopefully I didn't confuse you o.O

statement-------------Reason ac bisects

statement-------------Reason ac bisects

ok so for the surface area you first have to get the circumference. you get that by finding the circumference of a normal circle, with radius=24. so c=2(pi)(24). so that is the circumference of the outer circle, but to find just what is there you have to divide by the fraction of the whole circle that is present. so c/(60/360) true circumference. then to get the surface area you multiply this by the height (40). its been too long for me to remember how to get the volume, but you need to pay attention to the fact that the inner arc is 90 degrees, not 60.

Andy said the same thing I just did! I know we are both right. A triangle with angles of 30,135,15 is directly above the degree symbol in the picture! If you make a line perpendicular tothe top pt of the arc to the center line of the arc you will make a right triangle with the hypotenuse of 24. The triangle happens to be a (30,60,90) or 3:4:5 so to find the length of the perpendicular take 3 x 24/5 = 14.4 Now if you take Sqrt of (14.4*14.4 x 2) you get small radius! I get roughly 20.36...... inner arc is (2 * 20.36) * 3.14159 = 127.954 if it were a full circle but you have 90degree or 1/4 of that so that line length is 31.988..... Take that length x 40 for inner arced face SA = 1279.549 outer arc was 1005.something! For top and Bottom! area of outer cirlce part - inner circle part or (3.14 x 24^2) / 6 - (3.14 x 20.35^2) /4 = 301.44...- 325.08 ??? crap something isn't right here....

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