NCFE Review - Transformations

In the diagram, a square is graphed in the coordinate plane. A reflection over which line does not carry the square onto itself?

• x=5

• y=x

• y=2

• x+y=4

A sequence of transformatiosn maps rectangle ABCD onto rectangle A''B''C''D'', as shown in the diagram. Which sequence of transformations maps ABCD onto A'B'C'D' and then maps A'B'C'D' onto A''B''C''D''?

• A reflection followed by a rotation

• A reflection followed by a translation

• A translation followed by a rotation

• A translation followed by a reflection

In the diagram, which function rule was used to map triangle A onto triangle B?

• f(x, y) -> (x, -y)

• f(x, y) -> (-x, -y)

• f(x, y) -> (-y, x)

• f(x, y) -> (y, x)

In the diagram, congruent figures 1, 2, and 3 are drawn. Which sequence of transformations maps figure 1 onto figure 2 an then figure 2 onto figure 3?

• A reflection followed by a translation

• A rotation followed by a translation

• A translation followed by a reflection

• A translation followed by a rotation

Which regular polygon has a minimum rotation of 45^o to carry the polygon onto itself?

• Octagon

• Hexagon

• Decagon

• Pentagon

Triangle ABC and triangle DEF are graphed on teh set of axes. Which sequence of transformations maps ABC onto DEF?

• A reflection over the x-axis followed by a reflection over the y-axis

• A 180^o rotation about the origin followed by a reflection over the line y=x

• A 90^o clockwise rotation about the origin followed by a reflection over the y-axis

• A translation 8 units to the right and 1 unit up followed by a 90^o counterclockwise rotation about the origin

When ABCD is rotated 90^o in a counterclockwise direction about the origin, its image is quadrilateral A'B'C'D'. Is distance preserved under this rotation, and which coordinates are correct for the given vertex?

• No and C' (1, 2)

• No and D' (2, 4)

• Yes and A' (6, 2)

• Yes and B' (-3, 4)

Which transformation of OA would result in an image parallel to OA?

• A translation of two units down

• A reflection over the y-axis

• A reflection over the x-axis

• A clockwise rotation of 90^o about the origin

Which sequence of transformation will map ABC onto A'B'C'?

• Reflection and Translation

• Rotation and Reflection

• Translation and Dilation

• Dilation and Rotation

Given the domain of the coordinate transformation f(x, y) = (-2x, -3y+1) is {(10, -2), (8, -5), (-2, 4)}, what is the range?

• {10, 8, 2}

• {(-20, 7), (-16, 16), (4, -11)}

• {(-2, -5, 4)}

• {(-5, 1), (-4, 2), (1,-1)}