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Answer

The point where the axes intersect in a Cartesian coordinate system. The coordinates of the origin are (0,0)

Answer

The vertical distance between two points on a line. It equals the difference between the y-coordinates of the two points.

Answer

The horizontal distance between two points on a line. It equals the difference between the x-coordinates of the two points.

Answer

Triangles whose corresponding angles have the same measure and corresponding side lengths are proportional

Answer

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.

similar triangles

run

steep

right triangles

home

rise

origin

slope

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 hours ago

Here are the correct terms matched to the definitions:

  1. The point where the axes intersect in a Cartesian coordinate system. The coordinates of the origin are (0,0)
    Answer: origin

  2. The vertical distance between two points on a line. It equals the difference between the y-coordinates of the two points.
    Answer: rise

  3. The horizontal distance between two points on a line. It equals the difference between the x-coordinates of the two points.
    Answer: run

  4. Triangles whose corresponding angles have the same measure and corresponding side lengths are proportional.
    Answer: similar triangles

  5. 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