Question

if ◻SLED ~ ◻PARK which of the following statements are incorrect?

∠A = ∠L
∠S = ∠P
∠E = ∠A
∠K = ∠D

Answer 1

To determine which statements are incorrect based on the notation and relation given (◻SLED ~ ◻PARK), we need to interpret this as stating that quadrilateral SLED is similar to quadrilateral PARK.

For two shapes to be similar, their corresponding angles must be equal. Therefore, we can set up the following correspondences based on the names of the quadrilaterals:

1. ∠S corresponds to ∠P
2. ∠L corresponds to ∠A
3. ∠E corresponds to ∠R
4. ∠D corresponds to ∠K

Based on this correspondence, here are the angles matched to each statement you've provided:

- ∠A = ∠L (Correct, since L corresponds to A)
- ∠S = ∠P (Correct, since S corresponds to P)
- ∠E = ∠A (Incorrect, since E corresponds to R not A)
- ∠K = ∠D (Incorrect, since K corresponds to D, but the statement does not clarify that they are equal)

Therefore, **the incorrect statements are:**
- ∠E = ∠A
- ∠K = ∠D (Note: This statement could only be deemed incorrect if it does not imply equality; otherwise, it is correct as stated.)

If you're looking for strict equality, then angles can only be considered "equal" if they are corresponding angles as defined by the similarity of the shapes.

So, primarily, **the most clear incorrect statement is ∠E = ∠A.**