transformations test (topic 4)
which words have horizontal reflectional symmetry?
○ pop
○ book
○ checks
○ succeed

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Accepted Answer

# Brief Explanations:
To determine horizontal reflectional symmetry, we check if a word looks the same when reflected over a horizontal line (like flipping it upside - down).
- For "POP": The letter "P" when reflected horizontally doesn't look like "P" (it would resemble a reversed "b" - like shape), but the letter "O" is symmetric horizontally. Wait, actually, let's re - evaluate. When we reflect "POP" over a horizontal axis, the top and bottom of each letter: "P" has a horizontal line of symmetry? No, "P" does not, but "O" does. Wait, maybe a better way: imagine the word written and then flipped over a horizontal line (so top becomes bottom). For "POP", if we flip each letter: "P" flipped horizontally would be a mirror image (not the same as "P"), but "O" flipped is still "O". Wait, maybe I made a mistake. Wait, actually, "POP" - let's consider the shape. Wait, no, let's check each option:
- "BOOK": "B" flipped horizontally is not "B", "O" is symmetric, but "K" flipped is not "K". So "BOOK" does not have horizontal reflectional symmetry.
- "CHECKS": Letters like "C", "H", "E", "K", "S" - when flipped horizontally, most of them don't match. For example, "C" flipped horizontally would be a reversed "C" (not the same), "H" flipped horizontally: the vertical lines and the horizontal line in "H" - when flipped, it's still "H"? Wait, no, "H" has vertical symmetry, not horizontal. Wait, maybe I'm confusing vertical and horizontal. Horizontal reflection: imagine the word is above a horizontal line, and we look at its reflection below the line. So for a letter to have horizontal symmetry, the top half should be a mirror image of the bottom half.
- "SUCCEED": Letters like "S", "U", "C", "E", "D" - "S" flipped horizontally is not "S", "U" flipped is not "U", etc.
- Wait, going back to "POP": Wait, maybe I was wrong earlier. Let's think of the letters as having a horizontal line of symmetry. The letter "O" has a horizontal line of symmetry (the top half is a mirror of the bottom half). The letter "P": if we draw "P", the top is a curve, the bottom is a vertical line. When reflected horizontally, the curve would be at the bottom and the vertical line at the top, which is not the same as "P". Wait, but maybe the question is about the word as a whole. Wait, maybe I made a mistake. Wait, another approach: write the word and then flip it 180 degrees (which is a combination of horizontal and vertical reflection, but horizontal reflection is flipping over a horizontal axis, so top - bottom flip). Wait, no, horizontal reflection is y - axis reflection? No, horizontal reflection is over a horizontal line (like the x - axis in a coordinate system, so flipping vertically). Wait, maybe the term "horizontal reflectional symmetry" here means that the word is symmetric with respect to a horizontal line, i.e., if you fold the paper along a horizontal line, the top and bottom parts match.
Wait, let's take "POP": Let's write "POP" and then flip it over a horizontal line (so the top becomes the bottom). The first "P" flipped: the curved part was at the top, now at the bottom, and the vertical line was at the bottom, now at the top - that's not a "P". The middle "O" flipped is still "O". The last "P" flipped is not a "P". Wait, maybe the question is using "horizontal reflection" as a mirror image over a vertical line? No, horizontal reflection should be over a horizontal line. Wait, maybe I'm misinterpreting. Alternatively, maybe the question is about rotational symmetry? No, it's reflectional.
Wait, let's check each letter's horizontal symmetry:
- "P": No horizontal symmetry.
- "O": Yes, horizontal symmetry (top and bottom are mirror images).
- "B": No horizontal symmetry (the two loops: top loop and bottom loop - when flipped, the top loop becomes bottom and vice versa, but the shape of "B" is such that it's not symmetric horizontally).
- "K": No horizontal symmetry.
- "C": No horizontal symmetry (the open part is at the bottom, when flipped, open part is at the top - not the same).
- "H": No horizontal symmetry (vertical lines and a horizontal line in the middle - when flipped, the horizontal line is still in the middle, but the vertical lines: no, "H" has vertical symmetry).
- "E": No horizontal symmetry (the horizontal lines: top, middle, bottom - when flipped, the top line becomes bottom and vice versa, but the shape of "E" is not symmetric horizontally).
- "S": No horizontal symmetry (the two curves: top and bottom - when flipped, they swap, but "S" has rotational symmetry, not horizontal reflectional).
- "U": No horizontal symmetry (the open part is at the bottom, when flipped, open part is at the top - not the same as "U").
- "D": No horizontal symmetry (the curved part is at the top, when flipped, curved part is at the bottom - not the same as "D").

Wait, maybe the question has a typo, or I'm misinterpreting. Wait, maybe "horizontal reflectional symmetry" here means that the word is a palindrome when reflected horizontally, i.e., the mirror image over a vertical line? No, that's vertical reflection. Wait, no, horizontal reflection is over a horizontal line, so the word is symmetric top - bottom.

Wait, let's look at the word "POP" again. If we consider the letters as being composed of lines, and we flip them over a horizontal line: the "O" is symmetric, and the two "P"s - maybe in a stylized font, "P" could be symmetric? No, in standard font, "P" is not. Wait, maybe the answer is "POP" because the middle letter is "O" (symmetric) and the two "P"s - maybe the question considers that when reflected horizontally, the overall shape is symmetric. Alternatively, maybe I made a mistake in analyzing the other options. Let's check "BOOK": "B", "O", "O", "K" - "B" and "K" are not symmetric horizontally. "CHECKS": multiple letters not symmetric. "SUCCEED": multiple letters not symmetric. So by process of elimination, "POP" is the answer.
# Answer:
A. POP

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