Lesson 16: Practice Problems

Problem 1

Are these two triangles identical? Explain how you know.

Two triangles-one with angles 70 and 95 and a side length of 12. The other triangle has angles 70 and 95 and a side length of 12.

Problem 2

Are these triangles identical? Explain your reasoning.

A quadrilateral where a line segment is drawn from the top vertice to the bottom right vertice creating two triangles that share a common side. Starting from the bottom left angle, going clockwise, the triangle on the left has the angle measurements of 40 degrees, 70 degrees, and 70 degrees. The triangle on the right, starting at the top angle and going clockwise, has the angle measurements of 40 degrees, 70 degrees, and 70 degrees.

Problem 3

Tyler claims that if two triangles each have a side length of 11 units and a side length of 8 units, and also an angle measuring $100^{\circ}$ , they must be identical to each other. Do you agree? Explain your reasoning.

Problem 4 From Unit 1 Lesson 7

Draw a segment and label it $P Q$ .

When $P Q$ is rotated $180^{\circ}$ around point $R$ , the resulting segment is the same as $P Q$ . Where could point $R$ be located?

Problem 5 From Unit 1 Lesson 9

Given is trapezoid $A B C D$ .

Using rigid transformations on the trapezoid, build a pattern. Describe some of the rigid transformations you used.