Answer:
Explanation:
a) The translation from shape X to shape Z can be determined by combining the individual translations from shape X to shape Y and from shape Y to shape Z.
Let's break it down step by step:
1. Shape X is translated by 2 units to the right and 5 units up to give shape Y. This means that every point in shape X is moved 2 units to the right and 5 units up to create shape Y.
2. Shape Y is then translated by an additional number of units to give shape Z. Unfortunately, the specific amount of translation is not mentioned in the question, so we cannot determine the exact translation from shape Y to shape Z.
b) Similarly, the translation from shape Z to shape X can be determined by combining the individual translations from shape Z to shape Y and from shape Y to shape X.
1. Shape Z is translated by an unknown amount to give shape Y.
2. Shape Y is translated by 2 units to the left and 5 units down to give shape X. This means that every point in shape Y is moved 2 units to the left and 5 units down to create shape X.
Again, since the specific amount of translation from shape Z to shape Y is not mentioned, we cannot determine the exact translation from shape Z to shape X.
In summary, without the specific amount of translation from shape Y to shape Z or from shape Z to shape Y, we cannot determine the exact translations from shape X to shape Z or from shape Z to shape X.