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Q: Is it true the graph of y x a will always intersect the origin?
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Can an angle bisector of a triangle always intersect inside the triangle?

The angle bisectors always intersect inside the triangle. (This is not true for altitudes and right bisectors.)


Is it true that the graph of a proportional relationship does not include the origin?

It is true in the case of inversely proportional relationship.


If two lines intersect then they lie in one plane. Is this true always sometimes or never?

always. if two lines intersect, then exactly one plane contains the lines.


Two lines in the same plane that will not intersect are parallel?

If this is a 2-D graph and both of the lines are straight, then yes this statement is true. Otherwise it is not necessarily true.


The solution to a two-variable system is the point on a graph at which the lines cross?

That's the "coordinate origin" or simply the "origin".


What statement is true about a graph of an inversely proportional relationship there is no x intercept and no y intercept there is only a x intercept there is only a y intercept or there is both x an?

The graph doesn't intersect either axis.


Is it always true If two lines intersect to form congruent adjacent angles then the lines are perpendicular?

yes


The mode is always found at the highest point of a graph of a data distribution?

true


Is the mode always found at the highest point of a graph true or false?

false


What two criteria must be true for a graph to be a proportional relationship?

It must be a straight line. It must pass through the origin.


Is a circle graph always based on percentages true or false?

False. It may be simple to calculate percentages from one but that need not be what the graph is based on.


If two lines intersect they intersect in an infinite number of ponits true or false?

false they intersect at a single point