I. Problem solving: Show all necessary solutions. 1. State the quadrant in which the coordinate (15, -2) lies. В. IV А. I C.II D. III 2. Of what quadrant is A, if sec A is positive and csc A is negative? А. II В. I С. IV D. II 3. The segment from (-1, 4) to (2, -2) is extended three times its own length. The terminal point is А. (11, -18) В. (11, -24) D. (-11, -20) С. (11, -20) 4. The midpoint of the line segment between P1(x, y) and P2 (-2, 4) is Pm(2, -1). Find the coordinate of P1. A. (6, -5) В. (5, -6) C. (6, -6) D. (-6, 6)

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Show all necessary solutions.
4. The midpoint of the line segment between P1(x, y) and P2 (-2, 4) is Pm(2, -1). Find the
5. Find the coordinates of the point P(2,4) with respect to the translated axis with
3. The segment from (-1, 4) to (2, -2) is extended three times its own length. The
2. Of what quadrant is A, if sec A is positive and csc A is negative?
I.
Problem solving: Show all necessary solutions.
1. State the quadrant in which the coordinate (15, -2) lies.
А. I
В. IV
С. II
D. III
А. III
В. I
С. IV
D. II
terminal point is
А. (11, -18)
В. (11, -24)
С. (11, -20)
D. (-11, -20)
coordinate of P1.
A. (6, -5)
В. (5, -6)
С. (6, -6)
D. (-6, 6)
origin at (1,3).
A. (1, -1)
D. (-1, 1)
В. (1, 1)
С.(-1, -1)
6. Find the median through (-2, -5) of the triangle whose vertices are (-6, 2), (2, -2),
and (-2, -5).
А. 3
В. 4
С. 5
D. 6
7. Find the centroid of a triangle whose vertices are (2, 3), (-4, 6) and (2, -6).
В. (0, -1)
A. (0, 1)
C. (1, 0)
D. (-1, 0)
8. Find the area of triangle whose vertices are A (-3, -1), B (5, 3) and (2, -8)
В. 36
С. 38
D. 32
А. 34
9. Find the distance between the points (4, -2) and (-5, 1)
B. 8.947
C. 7.149
D. 9.487
A. 4.897
10. Find the distance between A (4, -3) and B(-2, 5).
В. 8
С. 9
D. 10
А. 11
11. If the distance between the points (8, 7) and (3, y) is 13, what is the value of vƏ
С. 19 or -5
А. 5
В. -19
D. 5 or -19
12. The distance between the points (sin x, cos x) and (cos x, -sin x) is:
C. 2 sin x cos x
D. 4 sin x cos x
А. 1
В. 12
Transcribed Image Text:4. The midpoint of the line segment between P1(x, y) and P2 (-2, 4) is Pm(2, -1). Find the 5. Find the coordinates of the point P(2,4) with respect to the translated axis with 3. The segment from (-1, 4) to (2, -2) is extended three times its own length. The 2. Of what quadrant is A, if sec A is positive and csc A is negative? I. Problem solving: Show all necessary solutions. 1. State the quadrant in which the coordinate (15, -2) lies. А. I В. IV С. II D. III А. III В. I С. IV D. II terminal point is А. (11, -18) В. (11, -24) С. (11, -20) D. (-11, -20) coordinate of P1. A. (6, -5) В. (5, -6) С. (6, -6) D. (-6, 6) origin at (1,3). A. (1, -1) D. (-1, 1) В. (1, 1) С.(-1, -1) 6. Find the median through (-2, -5) of the triangle whose vertices are (-6, 2), (2, -2), and (-2, -5). А. 3 В. 4 С. 5 D. 6 7. Find the centroid of a triangle whose vertices are (2, 3), (-4, 6) and (2, -6). В. (0, -1) A. (0, 1) C. (1, 0) D. (-1, 0) 8. Find the area of triangle whose vertices are A (-3, -1), B (5, 3) and (2, -8) В. 36 С. 38 D. 32 А. 34 9. Find the distance between the points (4, -2) and (-5, 1) B. 8.947 C. 7.149 D. 9.487 A. 4.897 10. Find the distance between A (4, -3) and B(-2, 5). В. 8 С. 9 D. 10 А. 11 11. If the distance between the points (8, 7) and (3, y) is 13, what is the value of vƏ С. 19 or -5 А. 5 В. -19 D. 5 or -19 12. The distance between the points (sin x, cos x) and (cos x, -sin x) is: C. 2 sin x cos x D. 4 sin x cos x А. 1 В. 12
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