Here is the design for the flag of Trinidad and Tobago.
Describe a sequence of translations, rotations, and reflections that take the lower left triangle to the upper right triangle.
Here is a picture of an older version of the flag of Great Britain. There is a rigid transformation that takes Triangle 1 to Triangle 2, another that takes Triangle 1 to Triangle 3, and another that takes Triangle 1 to Triangle 4.
Measure the lengths of the sides in Triangles 1 and 2. What do you notice?
Here is a picture of an older version of the flag of Great Britain. There is a rigid transformation that takes Triangle 1 to Triangle 2, another that takes Triangle 1 to Triangle 3, and another that takes Triangle 1 to Triangle 4.
What are the side lengths of Triangle 3? Explain how you know.
Here is a picture of an older version of the flag of Great Britain. There is a rigid transformation that takes Triangle 1 to Triangle 2, another that takes Triangle 1 to Triangle 3, and another that takes Triangle 1 to Triangle 4.
All eight triangles have the same area.
Which of the lines in the picture is parallel to line l?
Explain how to translate, rotate or reflect line l to obtain line k.
Explain how to translate, rotate or reflect line l to obtain line p.
Point A has coordinates (3,4). After a translation 4 units left, a reflection across the x-axis, and a translation 2 units down, what are the coordinates of the image?
Here is triangle XYZ:
Draw these three rotations of triangle together.
Rotate triangle XYZ 90 degrees clockwise around Z.
Rotate triangle XYZ 180 degrees around Z.
Rotate triangle XYZ 270 degrees clockwise around Z.