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Instituto Tecnológíco y de Estudios Superiores de Monterrey
Vicerrectoria de Enseñanza Media
Mathematics III
First Partial Laboratory Answer Key

I. TRUE/FALSE

1) F 2) T 3) F 4) T 5)T 6) F 7) T 8) F 9) T 10) T 11) T


12) T 13) T 14) F 15) T 16) F 17) F 18) T 19) T 20) T


II. To solve form 21 to 26 consider that the graphs are numbered from 1 to 7 in the following way:1. 4
2. 5
3 6
7


Answers:


21) 6 22) 2 23) 7 24) 3 25) 1 26) 4


III.
1. b
2. c
3. d
4. a
5. a
6. c
7. a8. d
9. a
10. b
11. b
12. c
13. b
14. b
15. c
1. Find the equation of the line that is parallel to [pic] and that passes through the point
(-2, -1). Answer: [pic]
2.Find the equation of the line that is perpendicular to [pic] and that passes through the point
(-1, -1)
Answer: [pic]
3. Find the midpoint between the points [pic] and .[pic]Answer: [pic]

4.Find the distance between the points (8, -3) and (3,2). Write the answer in the simplest form. Answer: [pic]
5.Using the points A[pic] and the point B[pic] determine thedistance between both points Answer: [pic]
6. Proof algebraically that the given vertices form a right triangle


A( 5,0) B(3,1), C(0,-5) Answer: distance 1 pts A and B =[pic]distance 2pts B and C=[pic]distance 3 pts A and C=[pic]so the three sides of the triangle are different.


7.Proof algebraically that the given vertices form an isosceles triangle: A(-2,3) B(0,2) C(-5,4)Answer: distance 1 pts A and B =[pic]distance 2 pts B and C=[pic]distance 3 pts A and C=[pic]so the three sides of the triangle are different. One is the longest and has an inclination which is thehypothenuse, the other two sides are perpendicular forming a 90° angle.



8.Find the midpoint between the points P( 10, -8) and Q(8, -10) Answer: (9,-9)


9. Find the distance between the...
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