When the word HIDE is reflected in a horizontal line, the image is still HIDE. Can you think of

When the word HIDE is reflected in a horizontal line, the...

Key Concepts

Reflection Symmetry

Reflection symmetry is a transformation where each point of a shape or object is mapped to another point at an equal distance on the opposite side of a given line (the axis of symmetry). In the context of words, it refers to whether the structure of the letters remains unchanged when reflected, meaning that the left half is a mirror image of the right half or vice versa upon transformation.

Horizontal Reflection

Horizontal reflection is a specific type of reflection symmetry where the mirror line is horizontal. This means that the upper part of the object swaps with the lower part. For words, this requires that each letter, or its stylized form, appears the same when flipped over a horizontal axis, ensuring that the overall appearance of the word remains consistent after the flip.

Symmetry in Letter Forms

Symmetry in letter forms relates to the design and structure of individual letters, which may naturally possess symmetry about an axis. For a word to remain unchanged under horizontal reflection, every letter in it must have a horizontal axis of symmetry. Understanding which letters have this property allows one to craft or identify words that are visually invariant under a horizontal reflection transformation.

Transcript

00:01 I want to find all possible words that can be reflected along the horizontal line.

00:06 So if this is a graph, and here's the horizontal line, or the x -axis, the word should remain the same.

00:17 Essentially, if you look at the word hide, you split it in half and reflected it over the horizontal line, it would also remain as hide.

00:28 You can move this line over, and up, and it would still equal hide.

00:38 The word will not change visually.

00:41 So, what you want to do is you want to see all the letters, all the possible letters, that when reflected above a horizontal line, it's still the same as its original form.

00:54 So let's look at a.

00:54 When reflected over, let's say, a line across the top, it looks like this.

01:01 So a cannot be one of the lines.

01:05 One of the letters that can be used in a word that remains the same after being reflected.

01:11 Looking at b, b is possible because after reflecting, it should look like this over any horizontal.

01:17 The same can be said for c, the same can be said for d, the same can be said for e.

01:24 For f, on the other hand, if reflected, it should look like this, which is not like the original, so you can't look at it from here.

Please give Ace some feedback