
Similar Triangles and Slope
Flashcard
•
Mathematics
•
7th Grade
•
Practice Problem
•
Hard
+3
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What does it mean for triangles to be similar?
Back
Triangles are similar if they have the same shape but different sizes. This means their corresponding angles are equal and their corresponding sides are in proportion.
Tags
CCSS.8.G.A.2
CCSS.HSG.CO.B.6
2.
FLASHCARD QUESTION
Front
How do you calculate the slope of a line?
Back
The slope of a line is calculated by the formula: slope (m) = \frac{\text{rise}}{\text{run}}. This represents the change in y over the change in x.
Tags
CCSS.8.EE.B.5
3.
FLASHCARD QUESTION
Front
What is the slope of a line that rises 3 units for every 1 unit it runs?
Back
The slope is 3, as it can be expressed as \frac{3}{1}.
Tags
CCSS.8.EE.B.5
4.
FLASHCARD QUESTION
Front
If a line falls 2 units for every 3 units it runs, what is the slope?
Back
The slope is -\frac{2}{3}, indicating a downward slope.
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 rise.
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 it would involve division by zero.
Tags
CCSS.8.EE.B.5
7.
FLASHCARD QUESTION
Front
How can you determine if two triangles are similar using their angles?
Back
If two triangles have two corresponding angles that are equal, then the triangles are similar by the Angle-Angle (AA) similarity criterion.
Tags
CCSS.HSG.SRT.A.2
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