Here are the correct terms matched to the definitions:
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The point where the axes intersect in a Cartesian coordinate system. The coordinates of the origin are (0,0)
Answer: origin -
The vertical distance between two points on a line. It equals the difference between the y-coordinates of the two points.
Answer: rise -
The horizontal distance between two points on a line. It equals the difference between the x-coordinates of the two points.
Answer: run -
Triangles whose corresponding angles have the same measure and corresponding side lengths are proportional.
Answer: similar triangles -
A measure of how steep a line is. The slope equals rise divided by run for any two points on the line. A line that rises from left to right has a positive slope. A line that falls from left to right has a negative slope.
Answer: slope
Here is the complete set of answers matched to your terms:
- Origin: (0,0) point of intersection
- Rise: vertical distance
- Run: horizontal distance
- Similar triangles: analogous triangles
- Slope: measure of steepness