Reflection of Point (Coordinates to Coordinates) across Diagonal (Level 1)

The math topic covered in these problems engages learners with coordinate reflection across the diagonal on a Cartesian grid. This skill introduces students to understanding how a point's position changes when it is reflected over a diagonal line, typically the line y=x. Each problem provides a specific point and the students must identify the correct reflected coordinates from a set of options. This topic is part of a broader unit on Cartesian grid transformations, providing foundational knowledge in handling coordinate manipulation and transformation in a two-dimensional space.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Cartesian Grid - Reflection of Point (Coordinates to Coordinates) across Diagonal Worksheet

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Cartesian Grid - Reflection of Point (Coordinates to Coordinates) across Diagonal
1
Reflect point (-3,-4) across the diagonal
(-3,-4)
a
(-4,-3)
b
(4,-3)
2
Reflect point (1,-4) across the diagonal
(1,-4)
a
(4,-1)
b
(1,-4)
3
Reflect point (1,0) across the diagonal
(1,0)
a
(0,1)
b
(1,-0)
4
Reflect point (-4,2) across the diagonal
(-4,2)
a
(-4,2)
b
(-2,4)
5
Reflect point (1,1) across the diagonal
(1,1)
a
(-1,1)
b
(-1,-1)
6
Reflect point (2,2) across the diagonal
(2,2)
a
(-2,2)
b
(-2,-2)
7
Reflect point (0,1) across the diagonal
(0,1)
a
(-1,-0)
b
(1,0)
8
Reflect point (2,3) across the diagonal
(2,3)
a
(-3,-2)
b
(-2,-3)