Lesson 10: Composing Figures | Unit 1: Rigid Transformations and Congruence

Multiple Choice

Which sequence of transformations takes the lower left triangle to the upper right triangle on the flag of Trinidad and Tobago?

• Rotate 90 degrees clockwise, then reflect across the vertical axis.
• Rotate 180 degrees clockwise, then reflect across the horizontal axis.
• Reflect across the vertical axis, then rotate 90 degrees counterclockwise.
• Translate to the right, then rotate 90 degrees clockwise.

Multiple Choice

What do you notice about the lengths of the sides in Triangles 1 and 2?

• The lengths of the sides are random.
• The lengths of the sides are not related.
• The lengths of the sides are equal.
• The lengths of the sides in Triangles 1 and 2 are proportional.

Open Ended

What are the side lengths of Triangle 3? Explain how you know.

Open Ended

Do all 8 triangles in the flag have the same area? Explain how you know.

Draw

Using the trapezoid shown in the image, build a pattern by applying rigid transformations. Demonstrate the transformations on the image.

Multiple Choice

Which of the following is a rigid transformation used to build the pattern with the trapezoid?

• Translation
• Reflection
• Scaling
• Rotation