Mathematics, 07.11.2019 18:31 blondie02

Point p is located in the first quadrant of a coordinate plane. if p is reflected across the x-axis to form p. choose the four statements that will always be true
line segment pp'is parallel to the x-axis.
line segment pp'is parallel to the y-axis.
line segment pp'is perpendicular to the x-axis.
line segment pp is perpendicular to the y-axis.
the distance from p to the x-axis is equal to the distance from p'to the x-axis.
the distance from p to the y-axis is equal to the distance from p'to the y-axis.

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Answer from: madelineb6243

When a point is reflected, it must be reflected across a line.

Options (b), (c), (e) and (f) are true for the reflection.

From the question, we understand that point P is in the first quadrant.

A reflection across the x-axis, will position point P' in the fourth quadrant (see attachment for illustration of the reflection).

From the attached image, we have the following highlights.

Line PP' is perpendicular to the x-axis, and parallel to the y-axis.The distance from P to the x-axis is the same as the distance of P' to the x-axis.The distance from P to the y-axis is the same as the distance of P' to the y-axis.

The above highlights mean that, options (b), (c), (e) and (f) are true for the reflection.

Read more about reflections at:

link

Point p is located in the first quadrant of a coordinate plane. if p is reflected across the x-axis

Answer from: kenxkeith

Line segment PP'is parallel to the y-axis.

Line segment PP'is perpendicular to the x-axis.

The distance from P to the x-axis is equal to the distance from P'to the x-axis.

Step-by-step explanation:

Given:

Point P is in 1st quadrant and P' is its reflection across x axis.

The figure for the given scenario is given below.

From the figure, following points are clear:

1. Line segment PP' is parallel to y axis (Vertical axis).

2. Line segment PP' is perpendicular to x axis (Horizontal axis).

Now, when we reflect a point across the x axis, the co-ordinate rule states that: $(x,y)\rightarrow (x,-y)$

So, the value of y changes sign. So, vertical distance of the original point is same as that of the reflected point. The only difference is one is above x axis and the other below x axis.

Therefore, the distance from P to the x-axis is equal to the distance from P'to the x-axis.

So, the statements that are true are as follows:

Line segment PP'is parallel to the y-axis.

Line segment PP'is perpendicular to the x-axis.

The distance from P to the x-axis is equal to the distance from P' to the x-axis.

Answer from: Quest

"if it is my birthday, then it is snowing"

Answer from: Quest

207/8 is the right

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