PART III Assessment Directions: Find Out How Much You Already Knew About…
PART III Assessment
Directions: Find out how much you already knew about this module. Choose the correct letter
that you think best answers each of the following questions.
1. A map is drawn on a grid where 1 unit is equivalent to 1 km. On the same map, the
coordinates of the point corresponding to San Nicolas is (1.4). Suppose Sinangguyan is 20 km
away from San Nicolas. Which of the following could be the coordinates of the point
corresponding to Sinangguyan?
A. (17, 16)
B. (17, 10)
C. (9, 10)
D. (-15, 16)
2. What are the coordinates of the midpoint of a segment whose endpoints are (-5, 2) and (9,
12)?
A (7,5)
B. (2,7)
C. (-7, 5)
D. (7,2)
3. What is the distance between the points M(5,7) and N(5, 4)?
A 17-41
B.17 – 51
c. 1-4-71
D. 1-4 -51
4. Three speed cameras were installed at different points along an expressway. On a map
drawn on a coordinate plane, the coordinates of the first speed camera are (-2, 4). Suppose the
second camera is exactly between the other two and its coordinates are (12, 8). What are
the coordinates of the third speed camera?
A. (26, 12)
B. (26,16)
C. (22, 12)
D. (22.16)
5. The distance between points M(x, 5) and C(5, -1) is 10units. What is the x-coordinate of M, if
it lies in the second quadrant?
A -7
B. -3
C. -1
D. 4
6. The coordinates of the vertices of a triangle are T(-4, 2), (5, -1), and P(10, 8). What is the
length of the segment joining the midpoint of TP and O?
A. 2v10
B V58
C. 3v10
D. V106
7. What figure is formed when the points M(-2, 10), 1(8,8), L(6,2)., and K(-4, 4) are connected
consecutively?
A. Parallelogram B. Trapezoid
C. Square
D. Rectangle
8. A tracking device that is installed in a mobile phone indicates that its user is located at a
point whose coordinates are (18, 14). In the tracking device, each unit on the grid is equivalent
to 7 km. If the phone user came from a place whose coordinates are (2,6), how far has he
travelled?
A
5v5 km
B.
525 km
9. A radio signal can transmit messages up to a distance of 5 km. If the radio signal’s origin is
located at a point whose coordinates are (-2, 7), what is the equation of the circle that defines
the boundary up to which the messages can be
transmitted?
A (x – 2)2 + (y + 7) = 25
В. (x + 2)2 + (y-7)2 = 5
C.
(x + 2)2 + (y-7)2 = 25
D. (x – 2)2 + (y + 7) = 5
C. 56V5 km
D. 56 km
10. The endpoints of a diameter of a circle are L(-6, 8) and M(4, -2). What is the length of the
radius of the circle?
A. V10
B. 210
C. 5v2
D. 1012
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Answer:
1.A
2.D
3.C
4.B
5.A
6.A
7.B
8.C
9.D
10.A
11.B
12.B
13.C
14.D
15A
Step-by-step explanation:
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