Question

Which translation vectors could have been used for the pair of figures?

Option 1: (2, 3)
Option 2: (-1, 0)
Option 3: (0, -4)
Option 4: (5, 2)

Answer 1

To identify the correct translation vector, compare the change in x and y coordinates from one figure to the next, with each vector option representing the horizontal and vertical shifts needed.

Step-by-step explanation:

The question pertains to translation vectors and involves determining which vector could have been used to translate one figure to another's position. Given the options, the correct vector would correspond to the change in position from one figure to the other.

A translation vector is denoted as (Δx,Δy), where Δx is the horizontal change and Δy is the vertical change needed to move the original figure to its new position. For instance, the translation vector (2, 3) would mean the figure moved 2 units to the right (positive x-direction) and 3 units up (positive y-direction). To select the correct option, one would need to compare the coordinates of corresponding points on the two figures.

Answer 2

In this case, the translation vector that could have been used for the pair of figures is: (5, 2), indicating a rightward shift of 5 units and an upward shift of 2 units.

The answer is option ⇒4

Step-by-step explanation:

To determine which translation vectors could have been used for the pair of figures, we need to analyze the relative movement between the two figures.

By observing the arrow pointing right, we can infer that the second figure has been shifted horizontally to the right compared to the first figure.

Let's examine each option:

1. Option 1: (2, 3)

This option suggests a translation of 2 units to the right and 3 units upward. Since we only observe a horizontal movement in the figures, this translation vector does not seem to align with the given information.

2. Option 2: (-1, 0)

This option suggests a translation of 1 unit to the left and no vertical movement. Again, this translation vector does not align with the given information of a rightward shift.

3. Option 3: (0, -4)

This option suggests no horizontal movement and a vertical translation of 4 units downward. Since we only observe a horizontal movement in the figures, this translation vector does not align with the given information.

4. Option 4: (5, 2)

This option suggests a translation of 5 units to the right and 2 units upward. Considering the arrow pointing right, this translation vector aligns with the given information of a rightward shift.

Based on the given information, the translation vector that could have been used for the pair of figures is Option 4: (5, 2), indicating a rightward shift of 5 units and an upward shift of 2 units.

The answer is option ⇒4

Your question is incomplete, but most probably the full question was:

Which translation vectors could have been used for the pair of figures? arrow pointing right

(See the image below)

1. Option 1: (2, 3)
2. Option 2: (-1, 0)
3. Option 3: (0, -4)
4. Option 4: (5, 2)