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- Understand congruence and similarity using physical models, transparencies, or geometry software.

# Understand congruence and similarity using physical models, transparencies, or geometry software.

### Lessons for this standard

Resources cannot be aligned to this standard, browse sub-standards to find lessons.

### Related standards

- This standard is part of: G
- This standard is derived from: CCSS.Math.Content.8.G.A

#### More specific sub-standards

Understand that a two-dimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections and translations; given two congruent figures, describe a sequence that exhibits the congruence between them.

Describe the effect of dilations, translations, rotations and reflections on two-dimensional figures using coordinates.

Understand that a two-dimensional figure is similar to another if the second can be obtained from the first by a sequence of rotations, reflections, translations and dilations; given two similar two dimensional figures, describe a sequence that exhibits the similarity between them.

Use informal arguments to establish facts about the angle sum and exterior angle of triangles, about the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles. (e.g., Arrange three copies of the same triangle so that the sum of the three angles appears to form a line, and give an argument in terms of transversals why this is so.)

Verify experimentally the properties of rotations, reflections and translations:

#### Similar standards in other grades

Use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plan; derive the equation y = mx for a line through the origin and the equation y = mx + b for a line intercepting the vertical axis at b.

Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale.

solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale.

#### Similar standards elsewhere

Understand congruence and similarity using physical models, transparencies, or geometry software.

Understand congruence and similarity using physical models, transparencies, or geometry software.

Understand congruence and similarity using physical models, transparencies, or geometry software.

Understand congruence and similarity using physical models, transparencies, or geometry software.

Understand congruence and similarity using physical models, transparencies, or geometry software.