Question

Distance in the Coordinate Plane Quick Check 3 of 53 of 5 Items Question Use the image to answer the question. Use the given coordinates to compute the perimeter of the parallelogram. (1 point) Responses 26.6 units 26.6 units 25.2 units 25.2 units 13.3 units 13.3 units 28 units 28 units Skip to navigation page 17 of 17 Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.

Answer 1

To compute the perimeter of a parallelogram using the coordinates of its vertices, you will first need to determine the length of the sides. A parallelogram has two pairs of opposite sides that are equal in length.

1. **Identify the coordinates of the vertices** of the parallelogram. Let's assume the vertices are \( A(x_1, y_1) \), \( B(x_2, y_2) \), \( C(x_3, y_3) \), and \( D(x_4, y_4) \).

2. **Calculate the length of one side** using the distance formula:
\[
d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}
\]
This will give you the length of side \( AB \).

3. **Calculate the length of the adjacent side** (for example, \( AD \)) using the same distance formula.

4. **Determine the perimeter** of the parallelogram:
\[
\text{Perimeter} = 2 \times (\text{Length of } AB + \text{Length of } AD)
\]

5. **Choose the correct answer** from the provided options based on your calculations.

If you provide the specific coordinates of the vertices of the parallelogram, I can go through the calculations in detail to help you find the perimeter and the correct answer.