In this worksheet, we will practice finding the distance between two points on the coordinate plane using the Pythagorean theorem.

Q1:

Find the distance between the point and the point of origin.

A length units

B length units

C length units

D length units

Q2:

Find the distance between the points and .

A4 length units

B16 length units

C length units

D length units

E length units

Q3:

Which of the following points is at a distance of from the origin?

A

B

C

D

Q4:

The coordinates of the points ,
, and
are , ,
and respectively. Given that ,
find all possible values of .

A or

B or

C or

D or

Q5:

The distance between
and
is 5. What are the possible values of ?

A or

B or 4

C or 4

D or

Q6:

If and , where length units, find all the possible values of .

A or

B or

C or

D or

Q7:

What is the kind of triangle that the points , , and form with respect to its sides?

AScalene triangle

BEquilateral triangle

CIsosceles triangle

Q8:

Point is on the circle with center
. Decide whether point is on, inside, or outside the circle.

AOutside the circle

BInside the circle

COn the circle

Q9:

Given , , and , what is the perimeter of ?

A

B

C

D18

Q10:

James is making a map of his local area measured in meters.
The coffee shop is at and the Italian restaurant is at .
Find the distance between the coffee shop and the Italian restaurant giving the answer to one decimal place.

Practice Means Progress

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