Question

Which pair of transformations moves quadrilateral 1 to quadrilateral 2?

a:Reflect over the line y = -3, then rotate it 90 degrees counterclockwise about the origin

b:Reflect it over the x-axis, then rotate it 180 degrees about the origin

c:Rotate it 90 degrees counterclockwise about the point (-3, -3) then translate it 8 units to the right

d:Translate it 8 units to the right, then reflect it over the line y=-3

Answer 1

Answer:

Answer choices:

a. Reflection takes it to Q2, further rotation takes it back to Q3

• Incorrect

b. Reflection takes it to Q2, rotation takes to Q4 with right shape.

• Correct

c. Rotation takes is to Q4, translation keeps in same Q but with wrong shape

• Incorrect

d. Translation takes it to Q4, reflection keeps it in same Q but with wrong shape

• Incorrect

Answer 2

• Reflect it over the x-axis, then rotate it 180 degrees about the origin

Because the shape is present in Q3

So reflection over x axis takes it to Q2

Then 180° rotation about origin takes it to Q4

Hence Option B is correct