8.1.8 Rotation Patterns

Is Triangle B a rotation of Triangle A?

• Yes

• No

Is Triangle B a rotation of Triangle A? Explain your reasoning.

Evaluate responses using AI:

OFF

Answer explanation

No. A rotation can be used to match two sides of the triangles but will not match one up perfectly with the other. This is a reflection.

Rotate segment CD 180^o around point D .

True or False? The segment is attached at point D and is an extension of segment CD.

• True

• False

Rotate segment CD 180^o around point E .

True or False? The segment is below point E and is parallel to segment CD .

• True

• False

Answer explanation

After rotating segment CD 180^o around point E .

The segment is ABOVE point E and is parallel to segment CD .

Rotate segment CD 180^o around point M .

True or False? The segment is identical to segment CD .

• True

• False

Blue triangle ABC has been rotated. Which describes the rotation from blue triangle to red triangle?

Select all that apply

• 90 degrees clockwise around A.

• 90 degrees counter clockwise around A.

• 180 degrees clockwise around A.

• 270 degrees clockwise around A.

• 270 degrees counter clockwise around A.

Blue triangle ABC has been rotated. Which describes the rotation from blue triangle to green triangle?

Select all that apply

• 90 degrees clockwise around A.

• 90 degrees counter clockwise around A.

• 180 degrees clockwise around A.

• 270 degrees clockwise around A.

• 270 degrees counter clockwise around A.

Blue triangle ABC has been rotated. Which describes the rotation from blue triangle to purple triangle?

Select all that apply

• 90 degrees clockwise around A.

• 90 degrees counter clockwise around A.

• 180 degrees clockwise around A.

• 270 degrees clockwise around A.

• 270 degrees counter clockwise around A.

The graph shows two polygons ABCD and A'B'C'D'.

True or False? A sequence of transformations that takes ABCD to A'B'C'D' is a reflection over the y-axis, and then a translation down 2 units.

• True

• False

Answer explanation

A sequence of transformations that takes ABCD to A'B'C'D' is a reflection over the y-axis, and then a translation down 1 unit.

The graph shows two polygons ABCD and A'B'C'D'.

Fill in the blank.

A sequence of transformations that takes ABCD to A'B'C'D' is a rotation 90 degrees clockwise with center B=(-1,0) , and then translate (-1,0) to _____.