Among the given statements, the true statement based on the series of transformations is Option D) K-W is equal to X-G. The other statements do not hold true based on the transformations described.
Let's analyze the given series of transformations and determine which statement is true.
The transformations involve two sets of three connected letters: M, W, and K, and X, G, and F. These sets are each translated and then rotated about point X.
First, let's look at the translation of the letters. The translation moves each letter in the set a certain distance in a specific direction. However, the translation does not affect the relationship between the letters within the set.
Next, the set of letters is rotated about point X. The rotation changes the orientation of the letters while maintaining their relative positions to each other.
Based on these transformations, we can analyze each statement:
(a) K-W = F-X: This statement is not true. The transformation does not suggest any direct relationship between K-W and F-X.
(b) M-K = G-F: This statement is not true. The transformation does not suggest any direct relationship between M-K and G-F.
(c) M-W = X-G: This statement is not true. The transformation does not suggest any direct relationship between M-W and X-G.
(d) K-W = X-G: This statement is true. The translation and rotation maintain the relative positions of K, W, X, and G. Therefore, K-W is equal to X-G
Based on the given series of transformations, the true statement is (d) K-W = X-G.
The question probable maybe:-
Given the series of transformations shown, where two sets of three connected letters (M,W,K and X,G,F) are each translated and then rotated about point X, which of the following statements is true?
(a) K-W = F-X
(b) M-K = G-F
(c) M-W = X-G
(d) K-W = X-G