Open Up - Grade 8 - Mathematics - Unit 1 - Lesson 10

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.