Question

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Part 1
Writing  Begin with point Aleft parenthesis negative 7 comma 8 right parenthesis. Reflections across the axes will produce points​ B, C, and D so that ABCD is a rectangle. What are the coordinates of point Upper D​? What is the length of side AUpper D​? Use pencil and paper. Explain how to use what you know about reflections to find the coordinates of the remaining 2 vertices. Explain how you can find the perimeter of the rectangle.
x
y
A
B
C
D



x y graph
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Part 1
The coordinates of point Upper D is
  
enter your response here.
​(Type an ordered​ pair.)

Answer 1

D = (-7, -8).

Explanation and extra answers:
- Reflecting A(-7, 8) across the x-axis gives D(-7, -8) (y-coordinate sign changes).
- Reflecting A across the y-axis gives B(7, 8). Reflecting B across the x-axis (or A across both axes) gives C(7, -8).
- AD is vertical from y = 8 to y = -8, so length AD = 8 - (-8) = 16.
- Width = 7 - (-7) = 14, height = 16, so perimeter = 2(14 + 16) = 60.