Reflect the word MATHS onto a grid, as shown (a) Reflect it about AB. (b) Reflect it about CD.

Understand the Problem

The question asks to reflect the word "MATHS" on a grid where letters are drawn using lines over the grid. Part (a) asks to reflect it about line AB, and part (b) likely asks to reflect it about line CD, which is not fully shown, but we assume runs horizontally in a similar way to line AB.

Answer

``` D ꟽ ꓯ ꓕ H Ƨ A ```

Answer for screen readers

Steps to Solve

Understand Reflection Reflection involves creating a mirror image of the object across a line (the line of reflection). Each point of the original object has a corresponding point in the reflected image, located the same distance from the line of reflection but on the opposite side.
Reflect the Letter "M" The letter M touches line AB at two points. These points will remain unchanged after the reflection. The top vertex of M is 3 units away from AB. The reflected vertex will also be 3 units below AB. Connect the points to form the reflected "M".
Reflect the Letter "A" The letter A touches line AB at two points. These intersection points will remain unchanged. The top of the 'A' is 3 units away from line AB so its mirror will be 3 units below line AB.
Reflect the Letter "T" The horizontal bar of T is 2 units away from line AB, hence its reflection is 2 units below AB. The vertical bar of T is 1 unit away from A, hence its reflection is 1 unit below AB.
Reflect the Letter "H" The 2 horizontal segments of H are 2 units away from line AB, hence their reflections are 2 units below AB.
Reflect the Letter "S" The letter S is more complex because it has curves. Treat it as a series of points. Points closer to AB will have reflected points close to AB, but on the opposite side. Points further from AB will have reflected points further from AB, but on the opposite side. Essentially, you're flipping the S vertically. Parts of the "S" are 2 units away from A, hence their reflections are 2 units below AB.
Reflect the word "MATHS" Combine the reflected letters to recreate the reflected word.

More Information

Reflections preserve the size and shape of the object, but reverse its orientation.

Tips

A common mistake is to simply flip the letters without considering the distance from the line of reflection. Also, confusing reflection with rotation or translation is possible.