Geometry: Rigid Transformations and Symmetry

Reflections

100

Reflect (0,6) in the x-axis.

What is (0,-6)?

200

Reflect (4,-9) in the y-axis.

What is (-4,-9)?

300

Reflect (-3,7) in the line y=2.

What is (-3,-3)?

400

Reflect (2,-5) in the line x=-1.

What is (-4,-5)?

500

Reflect (-1,3) in the line y=x.

What is (3,-1)?

Translations

100

True or false: A translation is when a figure turns around a point.

What is false?

200

Describe the vector <-4,9>.

What is left 4, up 9?

300

Find the vector from A(0,5) to A'(-4,6).

What is <-4,1>?

400

Name the image of (3,-7) after a translation along <5,-3>.

What is (8,-10)?

500

A(1,-3) and A'(-4,2)

B(-2,5)

Find B'.

What is B'(-7,10)?

Rotations

100

The assumed direction of rotation is __.

What is counterclockwise?

200

Rotate (4,-5) 180^o about the origin.

What is (-4,5)?

300

Rotate (-3,8) 90^o about the origin.

What is (-8,-3)?

400

Rotate (2,-7) 180^o about (-2,-2).

What is (-6,3)?

500

Rotate (-1,6) 270^o about (2,2).

What is (6,5)?

Composition of Transformations

100

A translation followed by a reflection in a line parallel to the translation is called a __ reflection.

What is glide?

200

A reflection in two parallel lines is a __.

What is a translation?

300

Find the image of (1,-2) after a translation along <-3,-3> and a reflection in the line y=x.

What is (-5,-4)?

400

Find the image of (2,-3) after a reflection in the line y=x and a rotation of 180^o about the origin.

What is (3,-2)?

500

Find the image of (-3,4) after a translation along <3,0> and a rotation of 270^o about the origin.

What is (4,0)?

Symmetry

100

How many lines of symmetry does a regular pentagon have?

What is 5?

200

How many lines of symmetry does a rectangle have?

What is 2?

300

What is the order of a regular pentagon?

What is 5?

400

What is the magnitude of a regular pentagon?

What is 72^o?

500

What are the order and magnitude of a rectangle?

What is order=2 and magnitude=180^o?