Coordinate Geometry: Practice 2

Section A: Core Practice

Question 1mcq

Find the distance between

(1,2)

and

(4,6)

.

A.

5

units

B.

7

units

C.

25

units

D.

4

units

Question 2mcq

Which set of points is collinear?

A.

(0,0),(1,1),(2,2)

B.

(0,1),(1,0),(2,3)

C.

(1,0),(0,1),(2,2)

D.

(0,0),(1,2),(2,1)

Question 3mcq

Find the midpoint of

A(2,4)

and

B(8,10)

.

A.

(5,7)

B.

(3,7)

C.

(6,6)

D.

(10,14)

Question 4mcq

The midpoint of

A(2,3)

and

B(x,7)

is

(5,5)

. What is

x

?

A.

3

B.

7

C.

8

D.

10

Question 5mcq

Points

A(0,0)

,

B(3,0)

and

C(0,4)

form what type of triangle?

A.Equilateral triangle

B.Obtuse scalene only

C.Right-angled triangle

D.No triangle

Section B: Application Practice

Question 6mcq

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 7mcq

A student must solve a computational thinking on grids problem accurately. Which approach shows good step-by-step mathematical thinking?

A.Guess the answer without checking.

B.Change the given data to make calculation easier.

C.Ignore units, labels and conditions.

D.Break the problem into smaller steps, apply the correct rule, and check the result.

Question 8mcq

Find the distance between

(1,2)

and

(4,6)

.

A.

4

units

B.

25

units

C.

5

units

D.

7

units

Question 9mcq

Which set of points is collinear?

A.

(1,0),(0,1),(2,2)

B.

(0,1),(1,0),(2,3)

C.

(0,0),(1,2),(2,1)

D.

(0,0),(1,1),(2,2)

Question 10mcq

Find the midpoint of

A(2,4)

and

B(8,10)

.

A.

(10,14)

B.

(6,6)

C.

(5,7)

D.

(3,7)