Reflection Rules Guided Worksheet
Math Access Transformations • Reflections
Mirror Reflections on Coordinate Planes
Name:
Date:
Visual Reflection Rule Cards (Your Pocket Guide)
Keep these rules in mind as you count
Rule Card 1 Reflect Over X-AXIS
\( (x, y) \longrightarrow (x, -y) \)
X stays the SAME • Y flips sign (+ ↔ -)
Count: The x-axis is the flat blue line. Count squares UP/DOWN to the blue line, then count the same squares past it!
Rule Card 2 Reflect Over Y-AXIS
\( (x, y) \longrightarrow (-x, y) \)
X flips sign (+ ↔ -) • Y stays the SAME
Count: The y-axis is the tall purple line. Count squares LEFT/RIGHT to the purple line, then count the same squares past it!
1
Reflect Point A(2, 3) Across the X-AXIS
Mirror: Flat Blue Line
x y -3 +3 +3 -3 A(2, 3) ↓ 3
Step 1: Count to Mirror Line
Point A is 3 squares UP from the flat blue line.
Step 2: Jump Past Mirror Line
Count 3 squares DOWN past the blue line. Draw a big dot and label it A'.
Step 3: Write New Reflected Coordinates
A' = (
,
)
2
Reflect Point B(-4, 2) Across the Y-AXIS
Mirror: Tall Purple Line
x y -4 +4 +2 -2 B(-4, 2) 4 →
Step 1: Count to Mirror Line
Point B is 4 squares LEFT of the tall purple line.
Step 2: Jump Past Mirror Line
Count 4 squares RIGHT past the purple line. Draw a big dot and label it B'.
Step 3: Write New Reflected Coordinates
B' = (
,
)
Reflection Rules Guided Worksheet • Page 1 of 2 Turn to Page 2 for Line Segments & Triangles →
Part 2: Multi-Point Practice
Reflecting Segments and Shapes
Reflect one point at a time, then connect the dots with a ruler!
Mirrored shapes keep the exact same size and shape!
3
Reflect Line Segment CD Across the X-AXIS
Mirror: Blue X-Axis
x y -2 +2 +4 +3 -3 C(1, 2) D(4, 4)
Step 1: Count each endpoint down to the blue x-axis, then jump the same distance down to plot C' and D'.
| Start Point | Jump Down | Reflected Point |
|---|
| C (1, 2) | 2 squares | C'( 1 , ) |
| D (4, 4) | 4 squares | D'( 4 , ) |
Step 2: Connect the Segment
Use a straightedge to connect C' to D'.
4
Reflect Triangle Δ EFG Across the Y-AXIS
Mirror: Purple Y-Axis
x y -4 -2 +2 +4 +3 +1 E F G
Step 1: Count each vertex right to the purple y-axis, then jump the exact same squares past it!
| Start Vertex | Jump Right | Reflected Vertex |
|---|
| E (-1, 1) | 1 square | E'( , 1 ) |
| F (-4, 1) | 4 squares | F'( , 1 ) |
| G (-2, 3) | 2 squares | G'( , 3 ) |
Step 2: Connect the Mirrored Shape
Connect E' → F' → G' → E' to reveal the mirror image!
Self-Reflection Check:
I can find the mirror line I can count squares across I know which coordinate flips sign
Reflection Rules Guided Worksheet • Page 2 of 2 Great Job Reflecting!
Reflection Rules Answer Key
TEACHER KEY IEP • Math Disabilities Support
Reflection Rules Answer Key & Guide
Solutions • Single Point Reflections
X-Axis Reflection: \( (x, y) \to (x, -y) \) Y flips sign
Y-Axis Reflection: \( (x, y) \to (-x, y) \) X flips sign
1
Reflect A(2, 3) Across X-AXIS
Answer: A'(2, -3)
x y +2 +3 -3 A(2, 3) A'(2, -3)
Step 1 Solution:
Count to line: 3 squares UP from the blue line.
Step 2 Solution:
Count 3 squares DOWN below the line to plot point A'.
Step 3 Answer:
A' = ( 2 , -3 )
IEP Diagnostic Tip: If student wrote (-2, 3), they flipped the x-coordinate instead of the y-coordinate. Direct them back to Rule Card 1: "The flat line reflects up and down!"
2
Reflect B(-4, 2) Across Y-AXIS
Answer: B'(4, 2)
x y -4 +4 +2 B(-4, 2) B'(4, 2)
Step 1 Solution:
Count to line: 4 squares LEFT of the purple line.
Step 2 Solution:
Count 4 squares RIGHT past the purple line to plot B'.
Step 3 Answer:
B' = ( 4 , 2 )
IEP Diagnostic Tip: Remind students that reflecting a negative number like \(-4\) over the y-axis flips the sign to positive \(+4\). Have them verify with their finger counting from \(0\) along the x-axis.
Reflection Rules Answer Key • Page 1 of 2 Turn to Page 2 for Segment & Triangle Solutions →
TEACHER KEY • Part 2 Solutions
Reflecting Segments and Shapes Key
Check: Congruent shapes (Same size & orientation inverted)
3
Reflect Segment CD Across X-AXIS
Answers: C'(1, -2) • D'(4, -4)
x y C(1, 2) D(4, 4) C'(1, -2) D'(4, -4)
Completed Coordinate Table:
| Start Point | Jump Down | Reflected Point |
|---|
| C (1, 2) | 2 squares | C'( 1 , -2 ) |
| D (4, 4) | 4 squares | D'( 4 , -4 ) |
Scoring Criteria:
✓ Points C' and D' plotted accurately at y = -2 and y = -4.
✓ Straight line drawn connecting C' to D'.
4
Reflect Triangle Δ EFG Across Y-AXIS
