Question

The y axis is a line of symmetry for a triangle. The coordinates of two of its vertices are (-3, 2) and (0,5)
A. What are the coordinates of the third vertex?

B. What is the area of the triangle?

Answers

  1. Answer:
    • See  below
    Step-by-step explanation:
    A)
    One of the points on the y-axis (0, 5).
    It means the other vertices are symmetrical:
    • (-3, 2) and (3, 2)
    B)
    The height of the triangle is the difference of the y-coordinates:
    • h = 5 – 2 = 3
    The base of the triangle is the distance between the symmetric vertices:
    • b = 3 – (-3) = 6
    The area is:
    • A = 1/2bh = 1/2*6*3 = 9 units²

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  2. Answer:
    (3,2)
    Step-by-step explanation:
    since it symmetrical over the y axis it will be the same as the first point except the x will be the opposite

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