What is the distance between point (5, 9) and its reflection across the y-axis?

Question

What is the distance between point (5, 9) and its reflection across the y-axis?

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Adalynn 8 hours 2021-09-11T01:28:34+00:00 1 Answer 0

Answers ( )

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    2021-09-11T01:30:08+00:00

    Answer:

    10 units

    Step-by-step explanation:

    Given: Point is (5,9)

    To find: the distance between point (5,9) and its reflection across the y-axis

    Solution:

    Reflection of point (x,y) is (-x,y) across the y-axis

    So, reflection of point (5,9) is (-5,9) across the y-axis

    Distance between points (x_1,y_1),(x_2,y_2) is given by \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

    Let (x_1,y_1)=(5,9),(x_2,y_2)=(-5,9)

    So,

    the distance between point (5, 9) and its reflection across the y-axis = \sqrt{(-5-5)^2+(9-9)^2}=\sqrt{100}=10

    Distance = 10 units

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