[b]1. [/b]Draw a triangle with vertices at [i]A[/i](-3, 3) [i]B[/i](-2, -1), and [i]C[/i](-1,4).[br][br][b] a. [/b][i]Reflect [math]\Delta[/math][/i]ABC over the [color=#999999][i]y[/i]-axis[/color] to form [math]\Delta[/math]A'B'C'
[b]b. [/b]List the coordinates of [math]\Delta[/math]A'B'C'. When reflecting a point over the [i]y[/i]-axis , which coordinate remains the same? Which coordinates change?[br][br]A(-3,3) [math]\longrightarrow[/math] A'(?,?) [br]B(-2,-1) [math]\longrightarrow[/math] B'(?,?)[br]C(-1,4) [math]\longrightarrow[/math] C'(?,?)
[b]c.[/b] Write an algebraic notation to show the rule for reflecting a figure over the [i]y[/i]-axis. [br][br](x, y) [math]\longrightarrow[/math] (?,?)
[b]d.[/b] Find the side lengths and area measures of the two triangles. What do you observe?
[b]2. [/b]Draw a triangle with vertices at [i]A[/i](-3, 3) [i]B[/i](-2, -1), and [i]C[/i](-1,4).[br][br][b]a. [/b][i]Reflect [math]\Delta[/math][/i]ABC over the [color=#999999][i]x[/i]-axis[/color] to form [math]\Delta[/math]A'B'C'
[b]b. [/b]List the coordinates of [math]\Delta[/math]A'B'C'. When reflecting a point over the [i]x[/i]-axis , which coordinate remains the same? Which coordinates change?[br][br]A(-3,3) [math]\longrightarrow[/math] A'(?,?) [br]B(-2,-1) [math]\longrightarrow[/math] B'(?,?)[br]C(-1,4) [math]\longrightarrow[/math] C'(?,?)
[b]c.[/b] Write an algebraic notation to show the rule for reflecting a figure over the [i]x[/i]-axis.
[b]d.[/b] Find the side lengths and area measures of the two triangles. What do you observe?
Without graphing, find the coordinates of the reflected image.
[math]\Delta[/math]ABC with vertices [i]A[/i](5, 1), [i]B[/i](1, 2), and [i]C[/i](6, 2). Reflected over the [i]x[/i]-axis. [br][br][i]A[/i](5, 1) [math]\longrightarrow[/math] [i]A'[/i](?, ?)[br][i]B[/i](1, 2) [math]\longrightarrow[/math] [i]B'[/i](?, ?)[br][i]C[/i](6, 2) [math]\longrightarrow[/math] C'(?, ?)
[math]\Delta[/math]KLM with vertices [i]K[/i](2, 3), [i]L[/i](5, 1), and [i]M[/i](4, -2). Reflected over the [i]y[/i]-axis. [br][br][i]K[/i](2, 3) [math]\longrightarrow[/math] [i]K[/i]'(?, ?)[br][i]L[/i](5, 1) [math]\longrightarrow[/math] [i]L[/i]'(?,?)[br][i]M[/i](4, -2) [math]\longrightarrow[/math] [i]M'[/i](?, ?)