When you translate a geometric figure horizontally, in which possible directions might you be moving the figure?
Responses
left or right
diagonally right or left
left
up or down
When you translate a geometric figure horizontally, you would be moving the figure left or right.
Use this description to answer:
An illustration shows a coordinate plane. Both x- and y-axes range from negative 10 to 10 in one unit increments. A quadrilateral with vertices P Q R S is drawn on it. Vertex P is at coordinates left parenthesis 4 comma 6 right parenthesis, vertex Q is at coordinates left parenthesis 7 comma 2 right parenthesis, vertex R is at coordinates left parenthesis 5 comma negative 2 right parenthesis, and vertex S is at coordinates left parenthesis 2 comma 2 right parenthesis.
Translate figure PQRS 6 units down and 2 units to the right. What are the coordinates of P′ ?
Responses
(2, 12)
left parenthesis 2 comma 12 right parenthesis
(2, 0)
left parenthesis 2 comma 0 right parenthesis
(10, 4)
left parenthesis 10 comma 4 right parenthesis
(6, 0)
To translate figure PQRS 6 units down and 2 units to the right, you would subtract 6 from the y-coordinate of each vertex and add 2 to the x-coordinate of each vertex.
The original coordinates of P are (4, 6).
After the translation, the new coordinates of P' would be:
x-coordinate: 4 + 2 = 6
y-coordinate: 6 - 6 = 0
Therefore, the correct answer is (6, 0) or "left parenthesis 6 comma 0 right parenthesis".
How would you describe the effect on the coordinates of the vertices of a figure that is translated to the left 6 units and up 5 units?
Responses
Add 6 units to each x -value and add 5 units to each y -value.
Subtract 6 units from each y-value and add 5 units to each x-value.
Subtract 6 units from each x -value and add 5 units to each y -value.
Subtract 5 units from each x-value and add 6 units to each y-value.
To describe the effect on the coordinates of the vertices of a figure that is translated to the left 6 units and up 5 units, you would subtract 6 units from each x-value and add 5 units to each y-value.
Therefore, the correct answer is: Subtract 6 units from each x-value and add 5 units to each y-value.