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Acc7.1 Rigid Transformations and Congruence

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

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

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

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

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

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

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

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.

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

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

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.

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.

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

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

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.

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

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.

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.