rigid transformations and symmetry
Flashcard
•
Mathematics
•
10th Grade
•
Hard
+2
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a rigid transformation?
Back
A rigid transformation is a transformation that preserves the shape and size of a figure, meaning the figure remains congruent after the transformation.
Tags
CCSS.HSG.CO.B.6
2.
FLASHCARD QUESTION
Front
What are the types of rigid transformations?
Back
The types of rigid transformations include translations, rotations, and reflections.
Tags
CCSS.HSG.CO.B.6
3.
FLASHCARD QUESTION
Front
Define translation in the context of rigid transformations.
Back
Translation is a type of rigid transformation that slides a figure in a straight line from one position to another without changing its shape or orientation.
Tags
CCSS.8.G.A.3
CCSS.HSG.CO.A.5
4.
FLASHCARD QUESTION
Front
What is the rule for translating a point (x, y) by (a, b)?
Back
The rule for translating a point (x, y) by (a, b) is (x + a, y + b).
Tags
CCSS.8.G.A.3
CCSS.HSG.CO.A.5
5.
FLASHCARD QUESTION
Front
What does it mean for figures to be congruent?
Back
Figures are congruent if they have the same shape and size, meaning one can be transformed into the other through rigid transformations.
Tags
CCSS.8.G.A.2
6.
FLASHCARD QUESTION
Front
What is a reflection in geometry?
Back
A reflection is a type of rigid transformation that flips a figure over a line, creating a mirror image.
Tags
CCSS.8.G.A.3
CCSS.HSG.CO.A.5
7.
FLASHCARD QUESTION
Front
How do you reflect a point (x, y) over the line y = x?
Back
To reflect a point (x, y) over the line y = x, swap the coordinates to get (y, x).
Tags
CCSS.8.G.A.3
CCSS.HSG.CO.A.5
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