Coordinate Proofs Worksheet
HOMEWORK FOR TUESDAY, APRIL 26
I am very sorry- I won’t be able to be in class on Monday .
You have to complete two parts of the assignment for Tuesday.
Start working together in 6167 on geomtery problems and hopefully, you could complete this worksheet as well.
GEOMETRY: CHAPTER 9.1 P. 368-369 (1-9), CHAPTER 9.4 (1-11)
ThIS worksheet
Math 601. Additional work with the Coordinate Proofs.
Directions:. Do not assume things, only use formulas and measurements. Work must be shown for each proof. Remember the characteristics of each quadrilateral!! Some coordinates were omitted. ( sorry..:)
WRITE TWO COLUMN FOR EACH PARCTICE PROBLEM ( they follow pre-practice, eight of them)
PRE-PRACTICE:
[pic]
[pic]
3) [pic]
(Answers: 1) (9.1) 2) 9.1 3) square root of 13.
[pic]
( Answers: 1) No 2) Yes)
SIMPLIFYING SQUARE ROOTS
Example:
[pic]
Simplify: [pic] _____________________
( Answer: [pic])
Simplify: [pic]____________________________
( Answer: [pic])
Note: [pic]
PRACTICE PROBLEMS:
1. Given: A(-3,0), B(-10,3), C(-10,-6), D(-3,-9)
Prove: ABCD is a parallelogram
[pic]
2. Given: E(-2,3), F(-2,-2), G(3,-2), H(3,3)
Prove: EFGH is a rhombus
[pic]
3. Prove AOCD is a rhombus.
[pic]
4. Prove DEF is a right triangle.
[pic]
5. Prove that GHIJ is a kite.
[pic]
6. Prove the mid-segments of KLMN are a parallelogram.
[pic]
7. Prove that ΔOPQ is equilateral.
[pic]
8. A,B,C,D are midpoints. Find U,V,W,X. Prove that ABCD is a square.
[pic]
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