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Term

Definition

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

Answers

Answered by GPT-4o mini
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

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