Question

What will effect the similarity of any two polygons?

(i) They are flipped horizontally

(ii)They are dilated by a scale factor

(iii)They are translated down

(iv)They are not the mirror image of one another​

Answer 1

Answer:

Remember to read the paragraph.

• When they are flipped, their size/measurement remains unchanged, so this is wrong.
• When they are dilated, the ratio of their size is the same and they remain similar.
• When they are translated down, their size/measurement remains unchanged, so this is wrong.

Now this leaves us to the last option.

• If they are not the mirror image of one another, this indicates that their size measurements are changed, and thus are not similar.

Option (iv) is correct.

⊱ ──────  ✯  ────── ⊰

Answer 2

'They are not the mirror image of one another' will affect the similarity of any two polygons. (Option iv)

• Any two polygons are similar if the ratio of any of their corresponding sides is equal.
• On flipping the polygons horizontally, their sides will still be proportional. It wouldn't affect the similarity.
• On dilating by a scale factor or translating down, the figures would still be similar.
• When two polygons are similar, their area might be different but they must be mirror images of each other.