Lesson 12: Practice Problems

Problem 1

Pentagon ABCDE with angles labeled and pentagon FGHIJ with side lengths labeled

  1. Show that the two pentagons are congruent.

  2. Find the side lengths of and the angle measures of .

Problem 2

For each pair of shapes, decide whether or not the two shapes are congruent. Explain your reasoning.

  1. Shapes ABCD and EFGH
  2. Shapes ABCDEF and GHIJKL
  3. Circle with center A at (-4, 2) and radius 2. Circle with center C at (4, -1) and radius 2.

Problem 3 From Unit 1 Lesson 8

Draw a segment and label it .

When is rotated around point , the resulting segment is the same as . Where could point be located?

Problem 4 From Unit 1 Lesson 10

Given is trapezoid .

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

Trapezoid with angles of 60 and 120