Basic Concepts
This transformation slides a figure across the coordinate plane without rotating it.
What is a translation?
In vector notation, (x, y) --> (x + 2, y + 4) translates a point how many units up
What is 4 units?
This is the name for any movement of a figure where points move the same distance in the same direction.
What is a translation?
To translate a point 3 units up on the coordinate plane, you adjust this part of the point.
What is the y-coordinate?
A square on the coordinate plane is translated up by 3 units. Describe the new orientation.
What is 'unchanged'?
During a translation, this remains unchanged about a figure.
What is size or shape?
The vector notation for translating 5 units left and 1 unit up is expressed as this.
What is <-5, 1>?
A translation does not alter this property of a shape.
What is size or orientation?
Describe the translation: (x, y) --> (x, y-5)
What is '5 units down'?
After translating a rectangle left by 4 units, name a property that remains unchanged.
What is 'area'?
When translating a point (x,y) by a vector <a,b>, the new coordinates are given by this.
What are (x + a, y + b)?
If point A (3, 2) translates by vector <4, 3>, the coordinates of A' are these.
What are (7, 5)?
If line segment AB translates parallel to the x-axis by 6 units, this is true about line segment A'B'.
What is A'B' parallel to AB and 6 units apart?
For the translation (x, y) --> (x + 4, y - 7), the original point (2, 5) maps to this new point.
What is (6, -2)?
When translating a triangle by <2, -1>, each vertex moves in this fashion.
What is "2 units right and 1 unit down"?
A translation mapped by (x, y) -->(x +3, y - 2) moves the figure in this direction.
What is 3 units right and 2 units down?
The translation expressed as (x, y) --> (x - a, y + b) indicates this kind of movement.
What is 'a units left and b units up'?
For triangle ABC, moving each point 5 units right and 3 units down results in this new set of coordinates for the points.
What are (A + 5, B + 3), (B + 5, B + 3), (C + 5, B + 3)?
Given vector <7, -3>, translate the point (x, y). This is the new point.
What is (x + 7, y - 3)?
Describe the result of translating a parallelogram by vector <-3, 5>.
What is "shifted 3 units left and 5 units up; orientation and shape unchanged"?
In the translation (x, y) -->(x - 5, y + 7), this vector represents the translation movement.
What is <-5, 7>?
Given the transformation (x, y) --> (x + k, y), identify k when moving a point 9 units right.
What is 9?
A point (x, y) after translation becomes (x - 3, y + 2). Calculate the translation vector.
What is <-3, 2>?
Find the resulting coordinates of point P (9, -4) after the translation (x, y) --> (x -6, y+8)
What is (3, 4)?
Determine the new vertices of quadrilateral ABCD given translations by vector, <a, b>, where a = 6 and b = -7.
What are A(x + 6, y - 7), B(x + 6, y - 7), C(x + 6, y - 7), D(x + 6, y - 7)?