What is the Triangle Inequality Theorem?
Fall 2024 Geometry Winter Break Homework

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Mathematics
•
9th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
2.
FLASHCARD QUESTION
Front
If a triangle has sides of lengths 3, 4, and x, what must be true about x?
Back
x must be less than 7 and greater than 1 (1 < x < 7).
3.
FLASHCARD QUESTION
Front
What is a reflection in geometry?
Back
A reflection is a transformation that flips a figure over a line, creating a mirror image.
4.
FLASHCARD QUESTION
Front
How do you identify a reflection across the y-axis?
Back
To identify a reflection across the y-axis, the x-coordinates of the points change sign while the y-coordinates remain the same.
5.
FLASHCARD QUESTION
Front
What is a line in geometry?
Back
A line is a straight one-dimensional figure that has no thickness and extends infinitely in both directions.
6.
FLASHCARD QUESTION
Front
What is the difference between a line and a line segment?
Back
A line extends infinitely in both directions, while a line segment has two endpoints and a finite length.
7.
FLASHCARD QUESTION
Front
What is dilation in geometry?
Back
Dilation is a transformation that alters the size of a figure but keeps its shape, using a scale factor.
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