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.

Answers: 1

Show answers

Answers

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

Yeah she/ he needs look how long that is man

Answer from: Quest

step-by-step explanation:

Other questions on the subject: Mathematics

Mathematics, 21.06.2019 14:00, angellv917

At the many chips cookie company they are serious about the number of chocolate chips in their cookies they claim that each cookie hasn't c chips. if their claim is true there will be 200 chips in 10 cookies

Answers: 2

continue

Mathematics, 21.06.2019 15:30, heavenwagner

How many days was the temperature above 90 degrees?

Answers: 3

continue

Mathematics, 21.06.2019 17:30, kitykay2776

The table shows the balance of a money market account over time. write a function that represents the balance y (in dollars) after t years.

Answers: 3

continue

Mathematics, 21.06.2019 17:40, kazmiere2005oye9tz

Afamily of five rents a kayak and splits the total time, k, equally. each family member spent less than 25 minutes kayaking. which values can be used to complete the math sentence below so that it accurately represents the situation? intro done

Answers: 2

continue

You know the right answer?

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