You can only unlock the chapter using a special code that we will send you via the Viber app. Receiving a message is free of charge and with no obligations.
My phone number:
Get a code
In compliance with the law, persons under the age of 15 can enter their phone number only in the presence of a parent or guardian.
4-character (Viber) code:
Check the received code
The page will be refreshed automatically in a few seconds.
To ensure the proper functioning of the website, OpenProf uses cookies that do not store personal data. By continuing to use the website, you agree to cookies. Tell me more »
with the ordinate axis. Calculate the distance between the point A and the point B(3,1).
from the coordinate origin.
and 
, calculate the:
and 
, and leave the result in surd form.
are given. Find the ordinate of the point 
, which is considered to be 10 units away from the point 
.
, 
and 
equilateral?
is the point 
. Calculate the coordinates of the point 
if 
.
is obtained by mirroring point 
over the coordinate origin in the coordinate system. Calculate the distance between the points 
.
and 
on it. Calculate the distance between them.
and 
be the coordinates of the endpoints of a line segment. Calculate the length of this line segment and the coordinates of its midpoint.
, 
, 
.
and 
be the coordinates of the endpoints of a line segment. Calculate the length of this line segment and the coordinates of its midpoint.
and 
are given. Determine the values of 
so that the length of the line 
is equal to 5 units. Hence, find the two possible coordinates of point 
.
, 
, 
and 
. Hence, calculate its length.
and 
are the furthest on a circle. What is the radius of the circle?
are: 
, 
, 
and 
. What is the length of the shorter diagonal?
, 
and 
an isosceles triangle? Show your workings.
, 
and 
are the vertices of an isosceles triangle. Calculate the height of the triangle to the side 
.
and 
are given. The point 
divides the line 
in the ratio 
. What are the coordinates of the point 
, 
and 
equilateral? Draw the figure in a coordinate system and show your workings.
of line AB with the vertices 
and 
and also prove that the point 
.
and 
are the vertices of the hypotenuse of a right-angled triangle whose sides are parallel to the coordinate axes and are positively oriented. Draw the triangle in the coordinate system and complete the statements:
, 
, 
and 
are given.
.
.
is the midpoint of line 
, which has one end at point 
. Determine the coordinates of the second point which is point A..
, 
, 
and 
.
, 
and 
are given. Calculate the value of 
if 
.
are: 
and 
. Find the abscissa of point 
if the line measures 
Write down the two possible solutions.
intersects the ordinate axis at point 
and the abscissa axis at point 
. What is the distance between the points 
is given . Define y so that the point 
will lie on the line. Calculate the distance of point T from the coordinate origin.
