20. Tuesday: 11/17 ~ Topic 6 Composition of Transformation 2

20. Tuesday: 11/17 ~ Topic 6 Composition of Transformation 2

Open Ended

Quadrilateral WXYZ is shown with vertices W (−3, 5), X (−2, 6),

Y (−2, 2), and Z (−3, 3). Reflect the quadrilateral WXYZ over the

line y = x, then apply the transformation (x, y) → (x, y + 1) to

quadrilateral W′X′Y′Z′. Draw quadrilateral W′′X′′Y′′Z′′ on the

coordinate grid.

Multiple Choice

Quadrilateral WXYZ is shown with vertices W (−3, 5), X (−2, 6),

Y (−2, 2), and Z (−3, 3). Apply the transformation

(x, y) → (x, y + 1) to quadrilateral WXYZ, then reflect the

quadrilateral W′X′Y′Z′ over the line y = x. Draw quadrilateral

W′′X′′Y′′Z′′ on the coordinate grid.

Multiple Choice

If you take S"P"O"T" and dilate it by a scale factor of 3

centered at the origin, what are the coordinates of

S′′′P′′′O′′′T′′′? Justify your answer.

• S"' (6,21), P"' (27,0), O"' (-15,-18), and T"'(-36,3)

• S"(21,-6), P" (0,-27), O" (-18,15), and T"(3,36)

Multiple Choice

Line segment RS has endpoints R(– 2, 4) and S (– 4, – 1).

Line segment R''S'' has endpoints R'' (3, – 3) and S'' (5, 2).

Name the transformations that map line segment RS to line segment R''S''.

• reflection over the line y = x, followed by a translation (x, y) → (x + 1, y + 1)

• rotation of 180°

  180° about the origin, followed by a translation (x, y) → (x + 1, y + 1)

• rotation of 90°

  90° counterclockwise about the origin, followed by a translation (x, y) → (x + 2, y + 1)

• translation (x, y) → (x + 1, y + 1), followed by a rotation of 180°

  180°counterclockwise about the origin

Multiple Choice

△ABC is reflected over the x-axis and then reflected over the y-axis to form ΔA''B''C'' ∆A''B''C'' as shown below.

• 
  

  $\left(x,y\right)\rightarrow\left(-x,y\right)$

• $\left(x,y\right)\rightarrow\left(x,-y\right)$

• $\left(x,y\right)\rightarrow\left(-x,-y\right)$

• $\left(x,y\right)\rightarrow\left(x,y\right)$

Multiple Choice

Parallelogram ABCD as pictured below is rotated 90 degrees counterclockwise about the origin and then translated according to the rule (x,y)→(x+1,y+1)