← Back to topics

Mathematics · Topic 45

Reflections and transformations in coordinate geometry

Sub-topic 1 2025 · National One-Eighth Free

Reflection of the line $5x+3y=15$ in the line $y=x$

Read past contest →
Sub-topic 2 2024 · National Preliminary Premium

Image of $a(-2,3)$ after reflection in the origin then the line $y=x$

Read past contest →
Sub-topic 3 2023 · National Preliminary Premium

Original point $p$ after reflection in the $y$-axis then the origin, image $(-3,5)$

Read past contest →
Sub-topic 4 2026 · National Semifinal Premium

Line of reflection when $(3,5)$ maps to $(-5,3)$

Read past contest →
Sub-topic 5 2026 · National Quarterfinal Premium

Line of reflection when $(1,2)$ maps to $(2,1)$

Read past contest →
Sub-topic 6 2017 · National Quarterfinal Premium

Image of $a(2,5)$ after reflection in the line $y=7$

Read past contest →
Sub-topic 7 2026 · National One-Eighth Premium

Reflection of $(x-2)^2+(y+2)^2=25$ in the line $y=x$, the $x$-axis and the origin

Read past contest →
Sub-topic 8 2026 · National Preliminary Premium

Image of $(3,-5)$ after a reflection in the line $y=-x$

Read past contest →
Sub-topic 9 2025 · National Preliminary Premium

Reflection rules for the $x$-axis, $y$-axis and the line $y=3$ (true/false)

Read past contest →
Sub-topic 10 2013 · National Preliminary Premium

Reflection of $a(x,y)$ in the $x$-axis maps onto $a'(x,-y)$ (true/false)

Read past contest →
Sub-topic 11 2023 · National Preliminary Premium

Image of $y=x^2$, $y=x+4$ and $y=x^3$ after reflection in the point $a(2,3)$

Read past contest →
Sub-topic 12 2023 · National Preliminary Premium

Line of reflection $l$ for $a(2,1)$, $b(1,2)$ and other point pairs

Read past contest →