Worksheets[2] Quiz in MATH 153 - Analytic Geometry Plus
Total questions: 20
Worksheet time: 56mins
Name
Class
Date
1.
Find the distance between (3, 7) and (-18, 12).
a)
√456
b)
√466
c)
√476
d)
√486
2.
Find the perimeter of the triangle ABC with coordinates A(2, 5), B(4, -8) and C(8, -9).
a)
32.51
b)
43.56
c)
45.63
d)
51.32
3.
If (x, 4) is equidistant from (5, -2) and (3, 4), find x.
a)
12
b)
13
c)
14
d)
15
4.
The points A(-2, 0), B(2, 0) and C(0, 2√3)are vertices of an equilateral triangle.
a)
TRUE
b)
FALSE
5.
The points A(-√3 , 1), B(2√3, -2) and C(2√3, 4) are vertices of an equilateral triangle.
a)
TRUE
b)
FALSE
6.
If (-3, y) is equidistant from (2,6) and (7, 2). Find the value of y.
a)
-2.6875
b)
3.4560
c)
4.5758
d)
5.4875
7.
The points A(3, 3), B(0, 1) and C(9, 7) lies in a straight line.
a)
TRUE
b)
FALSE
8.
The points A(1, 3), B(10, 5) and C (2, 1) forms a right triangle.
a)
TRUE
b)
FALSE
9.
The point on the x axis equidistant from (-2, 5) and (4, 1) is:
a)
x = 3
b)
x = -1
c)
x = 2
d)
x = 1
10.
The points A(-2, 7), B(5, 4), C(-1, -10) and D (-8, -7) are vertices of rectangle ABCD.
a)
TRUE
b)
FALSE
11.
Find the Area of a triangle whose vertices are at A(2, 6), B(3, -6). And C(5, 8).
a)
18
b)
19
c)
20
d)
21
12.
Find the midpoint of the line joining A(3, 4) and B(4, -8).
a)
(7/2, -2)
b)
(9/2, -3)
c)
(3/5, -4)
d)
(2/7, -5)
13.
The segment joining A(-4, 7) to.B(5, -2) is divided into two segments one is five times as long as the other. Find the points of division.
a)
(-5/2, 11/2) and (7/2,-1/2)
b)
(3/2, 11/2) and (5/2, -9/2)
c)
(5/2, 11/2) and (1/2,-5/2)
d)
(-3/2, 11/2) and (7/5, -1/2)
14.
Using the concept of Area , the points (1, -1), (-1, -5) and (2,1) lie in a straight line.
a)
TRUE
b)
FALSE
15.
Find the Area of the quadrilateral with vertices A(4, 12), B(2, 26) , C(-12, 24) and D(-16, 2).
a)
400
b)
300
c)
200
d)
100
16.
The segment joining A(3, 2) and B(4, 6) is extended to C to 3 times its own length. Find the coordinates of C.
a)
(7, 18)
b)
(8, 19)
c)
(9, 18)
d)
(10, 19)
17.
Find the area of the quadrilateral whose vertices are A(5, 6), B(6, -2), C(-4, 2) and D(-1, 5).
a)
55.5
b)
45.5
c)
54.5
d)
44.5
18.
Locate the trisection points of segment AB, A(3, -9) and B(1, 7).
a)
(7/3, -11/3) and (5/3, 5/3)
b)
(5/3, -10/3) and (8/3, 7/3)
c)
(-5/3, 11/3) and (3/5, 5/3)
d)
(10/3, -7/3) and (3/8, 7/3)
19.
The area of the triangle whose vertices are (X, 5), (10, -7) and (9, 1) is 14. Find X.
a)
5
b)
6
c)
7
d)
8
20.
The segment A(-1, 4) to B(2, -2) is extended three times its own length. Find the terminal point.
a)
(10, -18)
b)
(11, -20)
c)
(11, -18)
d)
(10, -20)
100 %
