Acc7.1 Rigid Transformations and Congruence

Lesson 1

  • I can describe how a figure moves and turns to get from one position to another.

Lesson 2

  • I can identify corresponding points before and after a transformation.
  • I know the difference between translations, rotations, and reflections.

Lesson 3

  • I can use grids to carry out transformations of figures.
  • I can use the terms translation, rotation, and reflection to precisely describe transformations.

Lesson 4

  • I can apply transformations to points on a grid if I know their coordinates.

Lesson 5

  • I can apply transformations to a polygon on a grid if I know the coordinates of its vertices.

Lesson 6

  • I can describe the effects of a rigid transformation on the lengths and angles in a polygon.

Lesson 7

  • I can describe how to move one part of a figure to another using a rigid transformation.

Lesson 8

  • I can describe the effects of a rigid transformation on a pair of parallel lines.
  • If I have a pair of vertical angles and know the angle measure of one of them, I can find the angle measure of the other.

Lesson 9

  • I can find missing side lengths or angle measures using properties of rigid transformations.

Lesson 10

  • I can decide visually whether or not two figures are congruent.

Lesson 11

  • I can decide using rigid transformations whether or not two figures are congruent.
  • I can use distances between points to decide if two figures are congruent.

Lesson 12

  • I can find unknown angle measures by reasoning about complementary or supplementary angles.
  • If I have two parallel lines cut by a transversal, I can identify alternate interior angles and use that to find missing angle measurements.

Lesson 13

  • If I know two of the angle measures in a triangle, I can find the third angle measure.

Lesson 14

  • I can explain using pictures why the sum of the angles in any triangle is 180 degrees.

Lesson 15

  • I can show that the 3 side lengths that form a triangle cannot be rearranged to form a different triangle.
  • I can show that the 4 side lengths that form a quadrilateral can be rearranged to form different quadrilaterals.
  • I can show whether or not 3 side lengths will make a triangle.

Lesson 16

  • I understand that changing which sides and angles are next to each other can make different triangles.

Lesson 17

  • Given two angle measures and one side length, I can draw different triangles with these measurements or show that these measurements determine one unique triangle or no triangle.
  • Given two side lengths and one angle measure, I can draw different triangles with these measurements or show that these measurements determine one unique triangle or no triangle.

Lesson 18

  • I can repeatedly use rigid transformations to make interesting repeating patterns of figures.
  • I can use properties of angle sums to reason about how figures will fit together.