The test comprise with the 3 part: 1) Basic-short questions, 2) Application Problems, and 3) Proof questions. Basic-short questions cover the definitions of the terminology in the coordinate geometry. Application Problems will cover the example that we learned through the five days. These will include the explanation of the student's answer as well as the answer. Grade will be imposed much more on the explanation of the answer than the answer itself. Last proof questions will be planned to use the formulas that we've learned about coordiante geommetry.

1. Basic -short question

1. Tell whether the statement is true or false. If false, give a counterexample.

a).

b).

c).

d).

2. a). Find the distance between (1,2) and (3,4).

b). Is the answer to part a the same as the distance between (3,4) and (1,2)?

c). Generalize the result.

3. a). What is an equation for the circle with center (-3,5) and radius 1?

b). Give the coordinates of four points on the circle.

4. The proof of the equation for a circle relies on what formula?

2. Application problem

1. Tom bikes from his apartment to Doris' house following the path shown below in black: 3 miles north, then 2 miles east, then 1/2 mile north, then 1/4 mile west. By air, how far apart are these places?

2. Give the coordinates of the 12 lattice points on the circle . Graph the points.

3. A meter stick is shortened by cutting off 12 centimeters from one end and 20 centimeters from the other. What is the reading at the point on which the new stick balance?

4. In right triangle CAB with m<a=90, D is the midpoint of BC. B= (7, 0) and C= (0, 5). What is the length of AD?

3. Proof questions

1. Let A=(-1, 3) and B=(11, 2). Prove that the point C=(3, -7) is on the circle with center B and radius BA.

2. M, N, P, and Q are the midpoints of the sides of quadrilateral ABCD below.

a) Prove MN = PQ.

b) Prove MN // PQ

c) What kind of quadrilateral is MNPQ ?

Solution of the test

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