Question

1. which transformation would take shape a to shape b? a. a reflection over the x - axis b. a counterclockwise rotation of 270° about the origin c. a counterclockwise rotation of 90° about the origin d. a reflection over the y - axis 6. the point u is plotted on the coordinate grid below. plot the point u, the reflection of u over the x - axis. coordinates of u: ( _, _ ) coordinates of u: ( _, _ ) when a point is reflected over the x - axis, the ( x - coordinate / y - coordinate ) changes sign. 7. the point r is plotted on the coordinate grid below. plot the point r, the reflection of r over the y - axis. coordinates of r: ( _, _ ) coordinates of r: ( _, _ ) when a point is reflected over the y - axis, the ( x - coordinate / y - coordinate ) changes sign. 8. the point j is plotted on the coordinate grid below. plot the point j, the reflection of j over the y - axis. coordinates of j: ( _, _ ) coordinates of j: ( _, _ ) when a point is reflected over the y - axis, the ( x - coordinate / y - coordinate ) changes sign.

Explanation:

Step1: Analyze transformation for Shape A to Shape B

By observing the orientation and position of Shape A and Shape B, a counter - clockwise rotation of 90° about the origin would map Shape A to Shape B.

Step2: Find coordinates and reflections for point U

Assume coordinates of \(U=(x_U,y_U)\). When reflected over the \(x\) - axis, the \(y\) - coordinate changes sign. So \(U'=(x_U, - y_U)\).

Step3: Find coordinates and reflections for point R

Let coordinates of \(R=(x_R,y_R)\). When reflected over the \(y\) - axis, the \(x\) - coordinate changes sign. So \(R'=(-x_R,y_R)\).

Step4: Find coordinates and reflections for point J

Suppose coordinates of \(J=(x_J,y_J)\). When reflected over the \(y\) - axis, the \(x\) - coordinate changes sign. So \(J'=(-x_J,y_J)\)

Answer:

1. C. A counterclockwise rotation of 90° about the origin
2. Coordinates of \(U\): (Need to read from the grid), Coordinates of \(U'\): (Same \(x\) - value as \(U\), opposite \(y\) - value as \(U\))
3. Coordinates of \(R\): (Need to read from the grid), Coordinates of \(R'\): (Opposite \(x\) - value as \(R\), same \(y\) - value as \(R\)), When a point is reflected over the \(y\) - axis, the \(x\) - coordinate changes sign.
4. Coordinates of \(J\): (Need to read from the grid), Coordinates of \(J'\): (Opposite \(x\) - value as \(J\), same \(y\) - value as \(J\)), When a point is reflected over the \(y\) - axis, the \(x\) - coordinate changes sign.