Slope and Similar Triangles
Flashcard
•
Mathematics
•
8th Grade
•
Practice Problem
•
Hard
+1
Standards-aligned
Wayground Content
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the definition of slope in a coordinate plane?
Back
Slope is a measure of the steepness or incline of a line, calculated as the ratio of the vertical change (rise) to the horizontal change (run) between two points on the line.
Tags
CCSS.8.EE.B.5
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).
Tags
CCSS.8.EE.B.5
3.
FLASHCARD QUESTION
Front
What does a positive slope indicate about a line?
Back
A positive slope indicates that as the x-coordinate increases, the y-coordinate also increases, meaning the line rises from left to right.
Tags
CCSS.8.EE.B.5
4.
FLASHCARD QUESTION
Front
What does a negative slope indicate about a line?
Back
A negative slope indicates that as the x-coordinate increases, the y-coordinate decreases, meaning the line falls from left to right.
Tags
CCSS.8.EE.B.5
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.
Tags
CCSS.8.EE.B.5
6.
FLASHCARD QUESTION
Front
What is the slope of a vertical line?
Back
The slope of a vertical line is undefined, as the horizontal change is 0, leading to division by zero.
Tags
CCSS.8.EE.B.5
7.
FLASHCARD QUESTION
Front
How can you determine if two triangles are similar based on their slopes?
Back
Two triangles are similar if their corresponding angles are equal and their corresponding sides are in proportion, which includes having the same slope for corresponding sides.
Tags
CCSS.HSG.SRT.A.2
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