Question

1. which coordinate is the same as the x - coordinate of point a?

a) y - coordinate of point a

1. which coordinate is the same as the y - coordinate of point a?

a) x - coordinate of point a
a) y - coordinate of point a
a) opposite of x - coordinate of point a
a) opposite of y - coordinate of point a
(image shows a coordinate plane with two triangles. point a is (-1, 2), point a is (2, 1). other points: b, c and their images b, c are also plotted.)

Explanation:

Sub - question 1: Which coordinate is the same as the x - coordinate of point \(A'\)?

Point \(A\) has coordinates \((- 1,2)\) and point \(A'\) has coordinates \((2,1)\). The x - coordinate of \(A'\) is \(2\). The y - coordinate of point \(A\) is \(2\). So the y - coordinate of point \(A\) is the same as the x - coordinate of point \(A'\).

Point \(A\) has coordinates \((-1,2)\) and point \(A'\) has coordinates \((2,1)\). The y - coordinate of \(A'\) is \(1\). The x - coordinate of point \(A\) is \(- 1\), the y - coordinate of point \(A\) is \(2\), the opposite of the x - coordinate of point \(A\) is \(1\) (since the x - coordinate of \(A\) is \(-1\), its opposite is \(1\)), and the opposite of the y - coordinate of point \(A\) is \(-2\). So the opposite of the x - coordinate of point \(A\) is the same as the y - coordinate of point \(A'\).

Answer:

A. y - coordinate of point \(A\)

Sub - question 2: Which coordinate is the same as the y - coordinate of point \(A'\)?