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:

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3) [pic]

(Answers: 1) (9.1) 2) 9.1 3) square root of 13.

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( Answers: 1) No 2) Yes)

SIMPLIFYING SQUARE ROOTS

Example:

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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

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2. Given: E(-2,3), F(-2,-2), G(3,-2), H(3,3)

Prove: EFGH is a rhombus

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3. Prove AOCD is a rhombus.

[pic]

4. Prove DEF is a right triangle.

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5. Prove that GHIJ is a kite.

[pic]

6. Prove the mid-segments of KLMN are a parallelogram.

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7. Prove that ΔOPQ is equilateral.

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8. A,B,C,D are midpoints. Find U,V,W,X. Prove that ABCD is a square.

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