Mirror Slide Notes Worksheet Mirror Slide
Notes & Guided Practice: Transformations
Name: __________________________
Date: ___________________________
1. Core Vocabulary
Transformation: A process that changes a figure's position, size, or shape.
Rigid Motion: A transformation that preserves distance and angle measures. The size and shape stay the SAME.
Pre-Image: The original figure (labeled with letters: A, B, C).
Image: The resulting figure (labeled with prime notation: A', B', C').
2. Translations (The "Slide")
A translation moves every point of a figure the same distance in the same direction.
Algebraic Rule
(x, y) → (x + a, y + b)
• + a : Slide Right | - a : Slide Left
• + b : Slide Up | - b : Slide Down
Is it Rigid?
Yes! The pre-image and image are congruent (same size and shape).
Orientation
The orientation of the vertices remains exactly the same.
GP Practice 1: Graphing a Translation
A B C
Translate Triangle ABC using the rule:
(x, y) → (x - 5, y + 2)
Step 1: Write New Coordinates
A (1, -1) → A' (____, ____)
B (3, -1) → B' (____, ____)
C (2, 1) → C' (____, ____)
3. Reflections (The "Flip")
A reflection flips a figure over a line called the line of reflection. Each point is the same distance from the line.
Over the x-axis
(x, y) → (x, -y)
x stays same, y flips
Over the y-axis
(x, y) → (-x, y)
y stays same, x flips
Key Properties of Reflections
Rigid Motion: Reflections are rigid; the image is congruent to the pre-image.Orientation: The orientation of vertices is reversed (flipped).
GP Practice 2: Reflecting a Quadrilateral
J K L M
Step 1: Write New Coordinates
J (-3, 3) → J' (____, ____)
K (-1, 3) → K' (____, ____)
L (-1, 1) → L' (____, ____)
M (-3, 1) → M' (____, ____)
Check point:
How many units away is point J from the y-axis? ______ units.
How many units away will J' be from the y-axis? ______ units.
Independent Practice
1
Identify the Transformation
T T'
Describe the transformation shown above:
Write the algebraic rule:
(x, y) → (____________)
2
Properties & Reasoning
Point P is at (5, -2). If it is reflected over the x-axis, and then translated using the rule (x+3, y-4), where will the final image P'' be located?
Show your work:
P'' (_____, _____)
3
Coordinate Challenge
Quadrilateral WXYZ has vertices:
W(-4, 5), X(-1, 5), Y(-1, 2), Z(-4, 2)
Reflect WXYZ over the y-axis.
Y' (____, ____)
Does reflecting over the y-axis change the size of the shape? Why?
4
Real World Vector
A chess piece starts at position (2, 2) on a grid. A player moves it 3 squares left and 5 squares up. What is the algebraic rule for this translation?
(x, y) → (____________)
Where is the final position of the piece?
Movement Map Anchor Chart Movement Map
Transformation Reference Guide
Translation
The "Slide"
Every point moves the SAME distance and the SAME direction.
Algebraic Rule
(x, y) → (x + a, y + b)
+ a / - a
Horizontal (L / R)
+ b / - b
Vertical (U / D)
Pro Tip
Orientation stays exactly the same. No turns or flips!
Reflection
The "Flip"
A figure flips over a Line of Reflection. Points are equidistant from the line.
over x-axis
(x, -y)
over y-axis
(-x, y)
Warning
Orientation is reversed. It’s a mirror image!
Big Idea
RIGID MOTION
Both preserve size and shape. Pre-image and Image are always congruent!
Mirror Slide Presentation Slides Mirror Slide
Translations & Reflections
Essential Vocabulary
Transformation
A process that changes a figure's position, size, or shape.
Rigid Motion
A transformation that keeps size and shape the SAME.
The Coordinate Game
ABC
Pre-Image
(The Original)
A'B'C'
Image
(The Result)
Translation
The "SLIDE"
• Moves every point the same distance.
• Moves every point in the same direction.
• Size, shape, and orientation stay the same.
Translation Rule
(x + a, y + b)
a-value
Left ← or → Right
b-value
Up ↑ or ↓ Down
Reflection
The "FLIP"
• Flips over a Line of Reflection.
• Points are equidistant from the line.
• Orientation is REVERSED!
Common Reflection Rules
x-axis
(x, -y)
"X stays, Y flips"
y-axis
(-x, y)
"Y stays, X flips"
True or False?
"A transformation that changes the size of a figure is a rigid motion."
FALSE
Plot Twists Exit Ticket Exit Ticket: Reflect or Slide?
Transformations Check
Name: __________________________
1. Describe the transformation shown in the graph below and write its algebraic rule.
A A'
Type of Transformation:
Algebraic Rule:
(x, y) → (________________)
2. If Triangle ABC is reflected over the y-axis, which coordinate of point C(5, -3) changes sign?
C' (________, ________)
Exit Ticket: Reflect or Slide?
Transformations Check
Name: __________________________
1. Describe the transformation shown in the graph below and write its algebraic rule.
A A'
Type of Transformation:
Algebraic Rule:
(x, y) → (________________)
2. If Triangle ABC is reflected over the y-axis, which coordinate of point C(5, -3) changes sign?
C' (________, ________)
Mirror Slide Review Worksheet Mirror Slide Review
Transformations: Practice & Review
Name: __________________________
Date: ___________________________
01 Term Matching
Match each transformation term with its correct property or description by writing the correct letter on the blank line.
____
1. Translation
____
2. Reflection
____
3. Rigid Motion
A. A "Flip" over a specific line of reflection
B. A transformation where size and shape stay the same
C. A "Slide" that moves a figure on the coordinate plane
02 Visual Identification
4. Is this a reflection or a translation?
5. Is this a reflection or a translation?
03 Algebraic Rules
6. A figure is moved 3 units right and 2 units down. Complete the algebraic rule below:
(x, y) → ( x ____, y ____ )
7. A figure is reflected over the y-axis. Complete the algebraic rule below:
(x, y) → ( ____, ____ )
04 Coordinate Points
8. Point A is at (4, 5). If it is reflected over the x-axis, where is the new point A'?
A' ( ____, ____ )
9. Reflect Triangle ABC over the x-axis.
Look at vertex C (2, 3) on the graph. Write the new coordinates for C' below.
Target vertex
C' ( ____, ____ )
Did size change?
YES NO
C
Mirror Slide Review Key Review Answer Key
Mirror Slide Review: Solutions
Teacher Reference
1 Matching Solutions
1. Translation: B
2. Reflection: C
3. Rigid Motion: A
2 Identification
Graph 4
Reflection
Graph 5
Translation
3 Algebraic Rules
6. Right 3, Down 2
(x + 3, y - 2)
7. Reflection (y-axis)
(-x, y)
4 Point Practice
8. Point A' (x-axis reflection)
(4, -5)
9. Vertex C' Answer
Reflection of (2, 3) over x-axis
(2, -3)
Size change?
NO
Mirror Slide Review Worksheet Review: Mirror Slide
Transformation Basics & Visuals
Name: __________________________
Date: ___________________________
1. Definition Match-Up
Write the letter of the correct description next to each term.
____
1. Translation
____
2. Reflection
____
3. Rigid Motion
A. A transformation where the size and shape stay exactly the same
B. A "Slide" that moves a figure across the coordinate plane
C. A "Flip" where a figure moves over a line of reflection
2. Graph Spotting
4. Transformation Type:
5. Transformation Type:
3. Rule Writing
6. A figure slides 3 units right and 2 units down. Finish the rule:
(x, y) → ( x ____, y ____ )
7. A figure flips over the y-axis. Finish the rule:
(x, y) → ( ____, ____ )
04 Calculation & Graphing
8. Point A is at (4, 5). If it is reflected over the x-axis, what are the new coordinates?
A' ( ____, ____ )
9. Point B is at (-2, 1). Move it 5 units right and 4 units up. Where is B'?
B' ( ____, ____ )
10. Look at Triangle ABC. Reflect it over the x-axis.
Write the new coordinates for vertex C' below.
Target: Vertex C (2, 3)
C' ( ____, ____ )
Did size or shape change?
YES NO
C
