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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