A Translation is a...
SLIDE!!!
True or False: To reflect over the X-AXIS, You should change the sign of the X-VALUE of the Ordered Pair.
False. Change the sign of the Y-VALUE in the Ordered Pair to reflect over the X-AXIS.
(X+3, Y+3)
(X+3, Y+3)
3 Units to the Right and 3 Units Up.
Two Units to the Right and Three Units Up.
(X+2, Y+3)
Two Units to the Right and Three Units Up.
Slide or Flip?
Slideeee. The direction of the image is the same and it is congruent.
Is this transformation a translation?
Yes.
True or False: To reflect over the Y-AXIS, You should change the sign on the X-VALUE in the ordered pair.
True.
(X+7, Y-3)
(X+7, Y-3)
Seven Units to the Right and 3 Units Down
Five Units to the Right and Seven Units down.
(X +5, Y-7)
Five Units to the Right and Seven Units down.
Find the translation sentence.
Five Units Right and Two Units Down = (X+5, Y-2)
True or False: A Transformation is changing a figure into another figure.
True
True or False: This is not a reflection.
False. It is a reflection.
(X-5, Y+2)
(X-5, Y+2)
Five units to the left and Two Units Up
Eight Units left and Three Units Up.
(X-8, Y+3)
Eight Units left and Three Units Up.
Use a piece of graph paper:
- Plot the following points to make a triangle. A (1,1), B (-3, -2), C (3,-2).
- Translate triangle ABC two units to the right and one unit down.
- What are the new coordinates for triangle A'B'C'?
Use a piece of graph paper:
- Plot the following points to make a triangle. A (1,1), B (-3, -2), C (3,-2).
- Translate triangle ABC two units to the right and one unit down.
- What are the new coordinates for triangle A'B'C'?
A' (3,0), B' (-1, -3), C' (5, -3)
Does the X-Axis control what is left and right or up and down?
Left and Right
Name this type of Reflection.
Reflection over the Y Axis
(X-3, Y-6)
(X-3, Y-6)
Three Units to the left and 6 Units Down.
Nine Units Left and Four Units Down.
(X-9, Y-4)
Nine Units Left and Four Units Down.
Use a piece of graph paper.
- Plot the Points for the square ABCD: A (2,2), B (6, 2), C (2, -6), D (6,-6).
- Reflect the square over the Y Axis.
-What are the new coordinates for square A'B'C'D'?
Use a piece of graph paper.
- Plot the Points for the square ABCD: A (2,2), B (6, 2), C (2, -6), D (6,-6).
- Reflect the square over the Y Axis.
-What are the new coordinates for square A'B'C'D'?
A' (-2,2), B' (-6,2), C' (-2, -6), D' (-6,-6)
Write the following correctly on the board:
X+ _________
X- __________
Y+ __________
Y- ___________
X+ Right
X- Left
Y+ Up
Y- Down
Which letters would be considered as reflections over the X-AXIS?
Reflections over the X AXIS: B&Z, A&O
Reflections over the Y AXIS: B&A, Z&O
True or False: This is a translation sentence (2x, 3-y)
False. NO! Translation Sentences are (X+/-#, Y+/-#)
True or False: When writing a Translation Sentence; it is okay to write it as (Y+2, X+5).
False. It will always be formatted as (X,Y).
Use a piece of graph paper.
- Plot the Points for the square ABCD: A (2,2), B (6, 2), C (2, -6), D (6,-6).
- Reflect the square over the X Axis.
-What are the new coordinates for square A'B'C'D'?
Use a piece of graph paper.
- Plot the Points for the square ABCD: A (2,2), B (6, 2), C (2, -6), D (6,-6).
- Reflect the square over the X Axis.
-What are the new coordinates for square A'B'C'D'?
A' (2, -2), B' (6, -2), C' (2, 6), D' (6, 6)