Coordinate Geometry Practice 1: Coordinates and Distance

Section A: Coordinate Basics

Question 1mcq

In which quadrant does the point

(-3,5)

lie?

A.Quadrant I

B.Quadrant II

C.Quadrant III

D.Quadrant IV

Question 2mcq

Which point lies on the

y

-axis?

A.

(4,0)

B.

(0,-6)

C.

(3,3)

D.

(-2,5)

Question 3mcq

A point moves from

(2,-3)

to

(-2,-3)

. What changed?

A.Only the

x

-coordinate changed sign.

B.Only the

y

-coordinate changed sign.

C.Both coordinates changed sign.

D.The point stayed in the same quadrant.

Question 4mcq

The distance formula comes from forming which shape between two coordinate points?

A.A right triangle

B.A circle

C.A rectangle only

D.A straight angle

Question 5mcq

Find the distance between

(1,2)

and

(4,6)

.

A.

3

B.

4

C.

5

D.

7

Section B: Distance and Classification

Question 6mcq

What is the distance between

(-2,3)

and

(4,3)

?

A.

4

B.

5

C.

6

D.

7

Question 7mcq

The points

A(0,0)

,

B(4,0)

and

C(0,3)

form what type of triangle?

A.Equilateral triangle

B.Isosceles triangle

C.Right triangle

D.Collinear points

Question 8mcq

For

A(1,1)

,

B(5,1)

and

C(3,1+2\sqrt{3})

, which classification is correct?

A.Equilateral triangle

B.Scalene triangle

C.Right triangle only

D.Collinear points

Question 9mcq

Which set of points is collinear?

A.

(0,0),(1,2),(2,4)

B.

(0,0),(1,2),(2,5)

C.

(1,1),(2,4),(4,8)

D.

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

Question 10mcq

Point

P(x,0)

is

5

units from

A(0,0)

. Which value of

x

is possible?

A.

3

only

B.

5

only

C.

-5

only

D.

5

or

-5