Translation Flashcards
(25 cards)
What is a transformation in mathematics?
A transformation is an operation that moves or changes a shape in a specific way.
What is a translation in geometry?
A translation is a type of transformation that slides a shape from one position to another without rotating or flipping it.
True or False: Translations can change the size of a shape.
False
Fill in the blank: A translation is defined by a ______ vector.
direction and distance
What are the coordinates of a point after a translation of (3, 4) to point (1, 2)?
(4, 6)
What is the effect of translating a shape by a vector (0, 0)?
The shape remains unchanged.
Multiple Choice: Which of the following is NOT a type of transformation? A) Rotation B) Reflection C) Addition D) Translation
C) Addition
Define the term ‘vector’ in the context of transformations.
A vector is a quantity that has both direction and magnitude, used to specify the translation of a point.
What happens to the orientation of a shape during a translation?
The orientation of the shape remains the same.
True or False: A translation can be represented by an ordered pair.
True
Fill in the blank: The translation vector for moving a point 5 units right and 2 units down is ______.
(5, -2)
What is the result of translating the point (2, 3) by the vector (-1, 4)?
(1, 7)
Multiple Choice: Which of the following transformations preserves distance? A) Rotation B) Dilation C) Shear D) Translation
D) Translation
What is the general formula for translating a point (x, y) by a vector (a, b)?
(x + a, y + b)
True or False: A translation can be described as a rigid transformation.
True
What is the key characteristic of a rigid transformation?
It preserves the shape and size of the figure.
Fill in the blank: To translate a triangle with vertices A(1, 2), B(3, 4), and C(5, 6) by (2, 3), the new vertices will be ______.
A(3, 5), B(5, 7), C(7, 9)
What does it mean to perform a transformation on a geometric figure?
It means to alter the figure’s position, size, or orientation.
Multiple Choice: Which transformation would change the shape’s size? A) Translation B) Reflection C) Dilation D) Rotation
C) Dilation
What is the primary purpose of using transformations in geometry?
To analyze and understand the properties of geometric figures.
True or False: Translations can be combined with other transformations.
True
What is a composite transformation?
A composite transformation is the combination of two or more transformations applied sequentially.
Fill in the blank: The combination of a translation and a rotation is known as a ______ transformation.
composite
What are the limits of translations in geometric transformations?
Translations cannot change the shape or size of the figure.
