**Topic 6: Congruence and Similarity**

Standard: MAFS.8.G.A - Understand congruence and similarity using physical models, transparencies, or geometry software.

## 6-1: Analyze Translations

Objectives:

- I can understand translations.
- I can translate a figure on a coordinate plane.
- I can describe a translation.

- How does a translation affect the properties of a two-dimensional figure?

- transformation
- translation
- image

Anchor Chart:

## 6-2: Analyze Reflections

Objectives:

- I can understand and describe a reflection.
- I can reflect two-dimensional figures.

- How does a reflection affect the properties of two-dimensional figure?

- reflection
- line of reflection

## 6-3: Analyze Rotations

Objectives:

- I can identify and perform a rotation.
- I can determine how a rotation affects a two-dimensional figure.

- How does a rotation affect the properties of two-dimensional figure?

- rotation
- angle of rotation
- center of rotation

## 6-4: Compose Transformations

Objectives:

- I can understand a sequence of transformations.
- I can describe and perform a sequence of transformations.

- How can you use a sequence of transformations to map a preimage to its image?

- none

## 6-5: Understand Congruent Figures

Objective:

- I can understand congruence of figures using a series of transformations.
- I can identify congruent figures.

- How does a sequence of translations, reflections, and rotations result in congruent figures?

- congruent

Anchor Charts: (TBD)

## 6-6: Describe Dilations

Objectives:

- I can understand dilations.
- I can dilate to enlarge or reduce a figure in a coordinate plane.

- What is the relationship between a preimage and its image after a dilation?

- dilation
- scale factor
- enlargement
- reduction

Anchor Charts: TBD

## 6-7: Understand Similar Figures

Objectives:

- I can understand similarity.
- I can complete a similarity transformation.
- I can identify similar figures.

- How are similar figures related by a sequence of transformations?

- similar

Anchor Charts: TBD

## 6-8: Angles, Lines, and Transversals

Objectives:

- I can understand the relationships of angles formed by parallel lines and a transversal.
- I can find unknown angle measures.

- What are the relationships among angles that are created when a line intersects two parallel lines?

- transversal
- corresponding angles
- alternate interior angles
- same-side interior angles

Anchor charts: TBD

## 6-9: Interior Exterior Angles of Triangles

Objectives:

- I can understand the relationship of the interior angles of a triangle.
- I can find unknown angle measures.

- How are the interior and exterior angles of a triangle related?

- remote interior angles
- exterior angle of a triangle

Anchor Charts: TBD

## 6-10: Angle-Angle Triangle Similarity

Objectives:

- I can determine whether triangles are similar.
- I can solve problems involving similar triangles.

- How can you use angle measures to determine whether two triangles are similar?

- none

Anchor Charts: TBD