Reflections Coordinate Quiz
Grade 8 Mathematics • Transformations
Reflections Quiz
Name:
Date:
Score: / 10
Directions: Examine each coordinate plane carefully. Grid lines represent 1 unit. All lines of reflection are horizontal or vertical.
Page 1 of 4
1 Axis of Reflection
Is this a reflection over the x-axis, y-axis, or neither?
y-axis
x-axis
neither
x y -6 -4 -2 2 4 6 6 4 2 -2 -4 -6
2 Line of Reflection
Where is the line of reflection located?
x = -6
y = 1
x = 2
y = 2
x y -6 -4 -2 2 4 6 6 4 2 -2 -4 -6
3 Target Image
Which image is the reflection of ABCD over the x-axis?
Pink
Green
Blue
None of them!
x y -6 -4 -2 2 4 6 6 4 2 -2 -4 -6 A B C D
Grade 8 Mathematics • Reflections Assessment Page 1
Part I: Multiple Choice (Continued)
Reflections Quiz
Page 2 of 4
4 Reflection vs. Translation
Is this a reflection over the x-axis, y-axis, or neither?
y-axis
x-axis
neither
x y -6 -4 -2 2 4 6 6 4 2 -2 -4 -6
5 Vertical Line of Reflection
Where is the line of reflection located?
x = 1
x = -1
y = 1
y = 0
x y -6 -4 -2 2 4 6 6 4 2 -2 -4 -6
6 Image Identification
Which image represents the reflection of the purple shape across the vertical line x = -1?
Teal
Yellow
Coral
None of them!
x y -6 -4 -2 2 4 6 6 4 2 -2 -4 -6
Grade 8 Mathematics • Reflections Assessment Page 2
Part II: Coordinate Rules & Fill-in-the-Blank
Reflections Quiz
Page 3 of 4
7 Coordinates of Reflected Vertices
Triangle DEF has vertices D(-5, 2), E(-2, 5), and F(-2, 2).
Triangle DEF is reflected across the x-axis to form triangle D'E'F'. Write the coordinates of the image vertices:
D' = ( , )
E' = ( , )
F' = ( , )
Rule for reflection over x-axis: (x, y) → ( _____, _____ )
x y -6 -4 -2 2 4 6 6 4 2 -2 -4 -6 D E F
8 Determining the Equation
The coordinate plane shows quadrilateral PQRS and its reflected image P'Q'R'S'.
Notice corresponding vertices: P(-4, 1) → P'(-4, -3) and Q(-1, 3) → Q'(-1, -5).
a) Is the line of reflection horizontal or vertical?
b) Write the equation of the line of reflection:
Line:
x y -6 -4 -2 2 4 6 6 4 2 -2 -4 -6 P Q P' Q'
Grade 8 Mathematics • Reflections Assessment Page 3
Part III: Distance & Analysis
Reflections Quiz
Page 4 of 4
9 Point Reflection & Distance
Point M(-2, 4) is plotted on the grid.
Point M is reflected across the dashed vertical line x = 1 to produce image M'.
a) How many units is point M from the line of reflection?
units
b) What are the coordinates of image M'?
M' = ( , )
x = 1 x y -6 -4 -2 2 4 6 6 4 2 -2 -4 -6 M(-2,4)
10 Geometric Verification & Reasoning
Trapezoid ABCD has vertices A(1,3), B(4,3), C(5,5), D(1,5). Trapezoid A'B'C'D' is shown below the red dashed line y = 1.
Perpendicular distance from A to line y = 1:
Perpendicular distance from A' to line y = 1:
Is A'B'C'D' a true reflection across y = 1?
Yes
No
Explain how you know using the distance of corresponding points:
y = 1 x y -6 -4 -2 2 4 6 6 4 2 -2 -4 -6 A B A' B'
✔ Remember: A reflection creates a congruent mirror image where every point is the exact same distance from the line of reflection!
Grade 8 Mathematics • Reflections Assessment Page 4
