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If the base of an iscosceles triangle is on the x-axis are the slopes of its legs opposites of each other?
If by "opposites of each other" as regards the slope of the legs you mean of opposite sign, the answer is yes. Let's look. Slope is the change in y divided by the change in x, or the "rise over the run" as is sometimes said. For any given isosceles triangle with the base on the x-axis, as regards the legs or sides, each side will have an identical change in x for any change in y, except for the sign. For the "left" leg of the triangle, that leg is slanted so that it goes to the right and up to get to the vertex. The "right" leg goes up and to the left to get to the vertex. The net result is that for any change in y, it turns out that both legs will experience the same change in x, but in the opposite direction. This results in opposite signs for changes in x value, and the slopes will have the same numerical value (or absolute value) by be opposite in sign.
What else can I help you with?
As slopes of x and y axes are 0 and undefined respectively why the product of slopes of x and y axes is -1?
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What two mathematical operations that are opposites and can undo each other are called?
numbers
What points in a triangle is not necessarily collinear with the other points in the triangle?
The following is the answer.
Name a three corner shape other than a triangle?
Triangle means 3 angles. No other shape exists and any three angle shape is a triangle
What is a name for a triangle?
a trignal has 3 sides is it trilateral other wise it depends on the angles and sides eg a acute angle triangle, a equalateral triangle, a scalene triangle
If two lines have slopes that are negative reciprocals of each other then they are if they have slopes that are the same then they are?
negative reciprocal slopes ---> the lines are perpendicular equal slopes ---> the lines are parallel
What must be true about the slopes of 2 perpendicular lines?
The slopes of two perpendicular lines are negative inverses of each other. In other words, the two slopes when multiplied together equal -1.
Are 4 and -4 the same slope?
8
Definition of slopes of perpendicular lines?
One is the negative reciprocal of the other. That is, the product of the two slopes is -1. UNLESS one of them is zero, in which case the slope of the other is infinite.
Do like charges repel each other?
Yes and opposites attract
How do slopes of perpendicular lines compare?
Slopes of perpendicular lines will be opposite reciprocals. This means that the slopes have opposite signs and that one is 1/ the other. For example, 2 and -1/2.
If two lines are parallel what do you know about their slopes?
If two lines are parallel, they have the same slope.(And if they are perpendicular, the product of their slopes is minus one - unless one line is horizontal and the other vertical.)
Lines that are perpindicular have slopes that are?
negative reciprocals of each other
What are the other example of cline?
cline is the arrangement of words in a slopes
What are two other shapes for an equilateral triangle?
An equilateral triangle can not have "other" shapes.
How do you use slope to determine if two lines are perpendicular?
You have to know the slopes of both lines. -- Take the two slopes. -- The lines are perpendicular if (one slope) = -1/(the other slope), or the product of the slopes equals to -1.
As slopes of x and y axes are 0 and undefined respectively why the product of slopes of x and y axes is -1?
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