Question

Choose all pairs of points that are reflections of each other across both axes. A. (–412, 1) and (–1, 412) B. (2.5, –1) and (–212, 1) C. (4.2, –1) and (2.4, –1) D. (1, –2.25) and (–1, 214) E. (–2, 213) and (2, 213)

Answer 1

Step-by-step explanation:

Each point moves the same distance from the line of Reflection. ... T(4,1) Ti 1-4,-1 ). A(3,5) = 4(1,5) (-1). B(3,3)Bil-3.1) (-142). B(5,12) .B'(7112). A(8,-2). ^'62,8) ... and C. . 1. Reflect the triangle over the y-axis. 2. Reflect the triangle over the x-ax.

Answer 2

Co-ordinates

Given:

Coordinate points are given to find reflection of one point to other.

Explanation:

The coordinates of a point are a pair of numbers that define its exact location on a two-dimensional plane. When a point is reflected across the line y = x, the x-coordinates and y-coordinates change their place. Similarly, when a point is reflected across the line y = -x, the x-coordinates and y-coordinates change their place and are negated.

The reflection of point (x, y) along x axis is (x, -y)

And the reflection of this point along y axis is (-x, y)

This means the reflection of the point (x, y) across the line y = x is (y, x).

According to question,

the reflection of  coordinate of (-412,1) along x axis will be (-412,-1)

the reflection of coordinate of (-412,1) along y axis will be (412,1)

the reflection of  coordinate of (2.5,-1) along x axis will be (2.5, 1)

the reflection of coordinate of (2.5,-1) along y axis will be (-2.5,1)

the reflection of  coordinate of (4.2,-1) along x axis will be (4.2, 1)

the reflection of coordinate of (4.2,-1) along y axis will be (-4.2, -1)

the reflection of  coordinate of (-1, 2.25) along x axis will be  (-1, -2.25)

the reflection of coordinate of (-1, 2.25) along y axis will be (1, 2.25)

the reflection of  coordinate of (-2, 213) along x axis will be (-2, -213)

the reflection of coordinate of (-2, 213) along y axis will be (2, 213)

Hence the only pair (-2,213) and (2,213) is the reflection of one another and this reflection is along y axis.

A picture is attached showing example of how reflection of co-ordinates work.