Lesson 11: 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

These two figures are congruent, with corresponding points marked.

Shape ABC and A'B'C'

  1. Are angles and congruent? Explain your reasoning.

  2. Measure angles and to check your answer.

Problem 3

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 4

Which of these four figures are congruent to the figure shown?

A rhombus with three blue dots in a line in the middle
  1. A rhombus with three blue dots in a line in the middle. The dots are farther apart than original.
  2. A rhombus with three blue dots in a line in the middle
  3. A rhombus with three blue dots in a line in the middle. The rhombus is rotated.
  4. A rhombus with three blue dots in a line in the middle. The rhombus is rotated.

Problem 5

Here are two figures.

Oval A and oval B

Show, using measurement, that these two figures are not congruent.