7.1 Basics of Transformations

7.1 Basics of Transformations

Multiple Choice

Describe the transformation to this boomerang.

• This shows a rotation about the origin.

• This shows a reflection over the y -axis.

• This shows a reflection over the x -axis.

• This shows a translation down.

Open Ended

What is the transformation shown between the two triangles? (#1)

Open Ended

What is the length of $\overline{B'C'}$ ? (#2)

Open Ended

What is the length of $\overline{A'C'}$ ? (#3)

Multiple Choice

A line is reflected. Which of these could be the result?

Multiple Select

Which statement(s) must be true of the transformation of a pair of parallel lines?

• Translating a pair of parallel lines results in two intersecting lines.

• If a pair of parallel lines is horizontal, the reflection over the x -axis is also horizontal.

• When a pair of parallel lines is reflected, the resulting lines are farther apart.

• Rotating a pair of parallel lines results in another pair of parallel lines.

• Translating a pair of parallel lines results in a pair of parallel lines with a different slope.

Multiple Choice

Figure A'B'C'D' is a _____ of figure ABCD.

• rotation

• translation

• reflection

Multiple Choice

Figure A"B"C"D" is a _____ of figure A'B'C'D'.

• rotation

• translation

• reflection

Multiple Choice

If sides AB and CD are parallel, then _____ must also be parallel.

• sides A'B' and C'D'

• sides AD and BC

• sides A'D' and B'C'

Multiple Choice

The length of side CD is equal to the length of _____.

• only side C'D'

• both sides C'D' and C''D''

• sides C'D' and B'C'

Open Ended

The length of side A'B' is _____ units.

Open Ended

The length of side A"D" is _____ units.

Open Ended

The perimeter of A"B"C"D" is _____ units.

Multiple Choice

After multiple transformations, the lengths of the sides of A"B"C"D" are _____ the lengths of the matching sides of ABCD .

• equal to

• greater than

• less than