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Coordinate Geometry: Final Assessment

Section A: Core Review

Question 1mcq
In which quadrant does the point (−3,4)(-3,4) lie?
A.Quadrant II
B.Quadrant III
C.Quadrant I
D.Quadrant IV
Question 2mcq
To plot (2,−3)(2,-3), what should you do from the origin?
A.Move 33 units right and 22 units down.
B.Move 22 units up and 33 units right.
C.Move 22 units left and 33 units up.
D.Move 22 units right and 33 units down.
Question 3mcq
A point is 44 units left of the origin and 22 units above it. What are its coordinates?
A.(−4,2)(-4,2)
B.(−2,4)(-2,4)
C.(2,−4)(2,-4)
D.(4,−2)(4,-2)
Question 4mcq
On a grid map, the library is at (2,3)(2,3) and the lab is at (2,7)(2,7). How is the lab positioned relative to the library?
A.44 units above it.
B.22 units left.
C.44 units to the right.
D.55 units below it.
Question 5mcq
On a grid map, the library is at (2,3)(2,3) and the lab is at (2,7)(2,7). How is the lab positioned relative to the library?
A.44 units to the right.
B.55 units below it.
C.22 units left.
D.44 units above it.
Question 6mcq
What is the horizontal distance between (2,5)(2,5) and (8,5)(8,5)?
A.1313 units
B.1010 units
C.33 units
D.66 units
Question 7mcq
The distance formula is based on which theorem?
A.Angle sum property
B.Factor theorem
C.Pythagoras theorem
D.Midpoint theorem
Question 8mcq
Find the distance between (1,2)(1,2) and (4,6)(4,6).
A.77 units
B.55 units
C.2525 units
D.44 units

Section B: Application and Reasoning

Question 9mcq
Which set of points is collinear?
A.(0,1),(1,0),(2,3)(0,1),(1,0),(2,3)
B.(0,0),(1,2),(2,1)(0,0),(1,2),(2,1)
C.(0,0),(1,1),(2,2)(0,0),(1,1),(2,2)
D.(1,0),(0,1),(2,2)(1,0),(0,1),(2,2)
Question 10mcq
Find the midpoint of A(2,4)A(2,4) and B(8,10)B(8,10).
A.(10,14)(10,14)
B.(5,7)(5,7)
C.(3,7)(3,7)
D.(6,6)(6,6)
Question 11mcq
The midpoint of A(2,3)A(2,3) and B(x,7)B(x,7) is (5,5)(5,5). What is xx?
A.33
B.77
C.1010
D.88
Question 12mcq
Points A(0,0)A(0,0), B(3,0)B(3,0) and C(0,4)C(0,4) form what type of triangle?
A.Obtuse scalene only
B.No triangle
C.Equilateral triangle
D.Right-angled triangle
Question 13mcq
A student is practising Coordinate Geometry Applications. Which statement best matches the idea: Classify simple figures using coordinate distances?
A.Use the correct definition or theorem and justify each step with mathematical reasoning.
B.Ignore the given conditions and choose any formula.
C.Use only a guess because diagrams are always exact.
D.Change the question so the answer becomes easier.
Question 14mcq
A student must solve a computational thinking on grids problem accurately. Which approach shows good step-by-step mathematical thinking?
A.Ignore units, labels and conditions.
B.Break the problem into smaller steps, apply the correct rule, and check the result.
C.Guess the answer without checking.
D.Change the given data to make calculation easier.
Question 15mcq
In which quadrant does the point (−3,4)(-3,4) lie?
A.Quadrant II
B.Quadrant I
C.Quadrant IV
D.Quadrant III
Question 16mcq
To plot (2,−3)(2,-3), what should you do from the origin?
A.Move 33 units right and 22 units down.
B.Move 22 units up and 33 units right.
C.Move 22 units right and 33 units down.
D.Move 22 units left and 33 units up.

Section C: Challenge and Mixed Practice

Question 17mcq
A point is 44 units left of the origin and 22 units above it. What are its coordinates?
A.(4,−2)(4,-2)
B.(−4,2)(-4,2)
C.(−2,4)(-2,4)
D.(2,−4)(2,-4)
Question 18mcq
On a grid map, the library is at (2,3)(2,3) and the lab is at (2,7)(2,7). How is the lab positioned relative to the library?
A.44 units above it.
B.22 units left.
C.55 units below it.
D.44 units to the right.
Question 19mcq
On a grid map, the library is at (2,3)(2,3) and the lab is at (2,7)(2,7). How is the lab positioned relative to the library?
A.44 units to the right.
B.55 units below it.
C.22 units left.
D.44 units above it.
Question 20mcq
What is the horizontal distance between (2,5)(2,5) and (8,5)(8,5)?
A.66 units
B.1010 units
C.1313 units
D.33 units
Question 21mcq
The distance formula is based on which theorem?
A.Angle sum property
B.Factor theorem
C.Pythagoras theorem
D.Midpoint theorem
Question 22mcq
Find the distance between (1,2)(1,2) and (4,6)(4,6).
A.44 units
B.77 units
C.55 units
D.2525 units
Question 23mcq
Which set of points is collinear?
A.(1,0),(0,1),(2,2)(1,0),(0,1),(2,2)
B.(0,0),(1,1),(2,2)(0,0),(1,1),(2,2)
C.(0,1),(1,0),(2,3)(0,1),(1,0),(2,3)
D.(0,0),(1,2),(2,1)(0,0),(1,2),(2,1)
Question 24mcq
Find the midpoint of A(2,4)A(2,4) and B(8,10)B(8,10).
A.(10,14)(10,14)
B.(3,7)(3,7)
C.(5,7)(5,7)
D.(6,6)(6,6)