What high school did Ms. Jones graduate from?
Define
TRANSFORMATION
A transformation is a change in position, shape, or size of a figure.
A translation has the rule:
(x,y) --> (x + 4, y - 7)
Describe the rule in a sentence...
(HINT** how many unit are you moving and in what direction?)
4 units to the right and 7 units down.
This coordinate changes when a figure is reflected over the x-axis.
the y-coordinate
This graph depicts a rigid transformation. What transformation and what is the rule?
What is a translation.
1 unit right, 2 units down, (x,y) --> (x + 1, y - 2)
What was the first standard we learned this quarter?
Geometry basics - points, lines and planes
Define
TRANSLATION
A translation "slides" an object a fixed distance in a given direction.
Adding to the x-coordinate moves a figure in this direction.
Reflect the point (2,1) across the y-axis. What are the coordinates?
(-2,1)
This graph depicts a rigid transformation. What transformation and what is the rule?
What is a reflection.
this figure is relflected over the y-axis.
What was the second standard we learned this quarter?
Parallel and Perpendicular lines
Define
REFLECTION
A reflection is a "flip" of an object over a line.
Translate the point (3,2) up 4 units and left 8 units. What are the new coordinates?
(-5, 6)
This figure has been reflected over this line.
what is the x-axis?
The graph shows multiple transformations of the original shape *. This image shows a reflection of * across the y-axis.
What is D
What was the third standard we learned this quarter?
Proving parallel lines & angles
Define
ROTATION
A circular movement. Rotation has a central point that stays fixed and everything else moves around that point in a circle.
What is the algebraic representation of a translation that moves a figure 2 units left and 3 units up?
(x,y) --> (x - 2, y + 3)
What rule is being used in the given transformation?
Reflection across the y-axis (x,y) --> (-x,y)
This graph depicts a rigid transformation. What transformation and what is the rule?
90-degree clockwise rotation
How old is my son and what grade is he in?
12 years old & 7th grade
DILATION
A transformation in which all dimensions of a figure are multiplied by the same scale factor. Enlarges or reduces a figure using a scale factor.
How much did this shape translate?
what is left 2 units, up two units.
(x,y) --> (x - 2, y + 2)
This is the coordinate A' after the figure below has been reflected over the given line.
what is (6,1)
The graph shows multiple transformations of the original shape *. This image shows a rotation of * 90 degrees counterclockwise about the origin.
figure B