What is the definition of slope?
Similar Triangles and Slope

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Mathematics
•
7th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
The slope of a line is a measure of its steepness, calculated as the ratio of the vertical change (rise) to the horizontal change (run) between two points on the line.
2.
FLASHCARD QUESTION
Front
How do you calculate the slope between two points (x1, y1) and (x2, y2)?
Back
The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).
3.
FLASHCARD QUESTION
Front
What does it mean for triangles to be similar?
Back
Triangles are similar if they have the same shape but may differ in size. This means their corresponding angles are equal and their corresponding sides are in proportion.
4.
FLASHCARD QUESTION
Front
If a line has a slope of 3/2, what does this indicate about its steepness?
Back
A slope of 3/2 indicates that for every 2 units of horizontal change, the line rises 3 units vertically, making it relatively steep.
5.
FLASHCARD QUESTION
Front
What is the slope of a horizontal line?
Back
The slope of a horizontal line is 0, as there is no vertical change regardless of the horizontal change.
6.
FLASHCARD QUESTION
Front
What is the slope of a vertical line?
Back
The slope of a vertical line is undefined, as it involves division by zero (no horizontal change).
7.
FLASHCARD QUESTION
Front
How can you determine if two lines are parallel using their slopes?
Back
Two lines are parallel if they have the same slope.
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