Two lines are parallel when they are perfectly straight, side by side. Train tracks for example. The symbol for parallel is: (I.E. AB)
The answer depends on what and where m, X and O or mX and mO are!
Any line that is parallel to another line will have the same slope. So if line AB's slope is zero and line CD is parallel to AB, then its slope will also be zero. The slope of line CD, when perpendicular to AB, will be infinity. If line AB has a slope of zero that means its just a horizontal line passing some point on the y-axis. A line that is perpendicualr to this one will pass through some point on the x-axis and therefore have an infinite slope.
Draw a straight line AB of any length x. Draw another line, parallel to AB and at a distance of 2*24/x units from it. Select any point on the second line and call that point C. Join AC and BC. Then triangle ABC will have an area of 24 square units.
a+b(a+B)=ab
If the lines AB and CD are parallel then they both will have the same slope of -8 but with different y intercepts
Two lines are parallel when they are perfectly straight, side by side. Train tracks for example. The symbol for parallel is: (I.E. AB)
The slope of line AB will be 1/2. Two parallel lines will always have the same slope, so if you know the slope of one line that is parallel to another, you know the other line's slope.
answerDraw two lines of equal lengths perpendicular to AB on the same side of AB and extend the line formed by joining the two end points of the two perpendicular lines which does not line on the line AB.
The answer depends on what and where m, X and O or mX and mO are!
Two points of parallel segments are writing with two lines like the following. (e.g.. ) For example if points AB are parallel to GI then you would write it like this (e.g.. ABGI)
Let's assume the triangle has points A, B, and C. Method 1 (3 lines) Draw two lines across the triangle parallel to line segment AB. Now you have two trapezoids and one triangle. Draw another line from C to the any point on the closest of the two lines you just drew, splitting the triangle into two more triangles. Method 2 (2 lines) Draw one line across the triangle parallel to line segment AB. Now you have one trapezoid and one triangle. Draw a second line that passes through C and is perpendicular to AB, splitting the trapezoid into two trapezoids and the triangle into 2 triangles. Method 3 (3 lines) Draw one line from point C to any point on line segment AB. Then draw a line parallel to AC and one parallel to BC, but don't let them cross the line you just drew.
3
If your definition of parallel lines is that they never meet, then the answer is yes. If, however, the definition is that they remain equidistant from one another at all points, then, in my opinion, the answer is no. It is difficult to explain the second without recourse to diagrams which are very difficult to manage on this site. So consider a cube with vertices ABCD forming the top face and EFGH (in corresponding order) forming the bottom face. Now AB is parallel to the bottom plane - EFGH. And AB is clearly parallel to EF and any line parallel to EF. But is AB parallel lines such as FG? True, they will never meet but the distance between them increases as you move away from BF - ie they are not the same distance apart. Incidentally, Euclid's parallel postulate was phrased in a very different way from the one most mathematicians come across it. That version is a much later equivalent statement.
AB
The name for this pattern of four lines with an ab-ab rhyme scheme in each stanza is a quatrain.
For two sides to be parallel they must not meet at a point (vertex). A triangle has only 3 sides. Let the vertices of a triangle be ABC; then the 3 sides of the triangle are AB, AC and BC. The sides AB and AC meet at vertex A, so they cannot be parallel. The sides AB and BC meet at vertex B, so they cannot be parallel. So Side AB is not parallel to AC (meets at vertex A) and not parallel to BC (meets at vertex B). The only possibility left is that side BC is parallel to side AC. But the sides BC and AC meet at vertex C so they cannot be parallel. Thus none of the sides of a triangle can be parallel.