Curriculum / Math / 8th Grade / Unit 3: Transformations and Angle Relationships / Lesson 5

Transformations and Angle Relationships

Lesson 5

Math

Unit 3

8th Grade

Lesson 5 of 22

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Objective

Describe sequences of transformations between figures using reflections and translations. Use coordinate points to represent relationships between reflected figures.

Lesson Map

Topic A: Congruence and Rigid Transformations

Understand rigid transformations that move figures and maintain congruency (translation, reflection, rotation).

Standards

8.G.A.1.A8.G.A.1.B8.G.A.1.C8.G.A.2

Describe and perform translations between congruent figures. Use translations to determine if figures are congruent.

Standards

8.G.A.1.A8.G.A.1.B8.G.A.1.C8.G.A.2

Describe and apply properties of translations. Use coordinate points to represent relationships between translated figures.

Standards

8.G.A.1.A8.G.A.1.B8.G.A.1.C8.G.A.28.G.A.3

Describe and perform reflections between congruent figures. Understand what features are preserved under reflections.

Standards

8.G.A.1.A8.G.A.1.B8.G.A.1.C8.G.A.2

Describe sequences of transformations between figures using reflections and translations. Use coordinate points to represent relationships between reflected figures.

Standards

8.G.A.1.A8.G.A.1.B8.G.A.1.C8.G.A.28.G.A.3

Describe and perform rotations between congruent figures.

Standards

8.G.A.1.A8.G.A.1.B8.G.A.1.C8.G.A.2

Describe sequences of transformations between figures using rotations and other transformations.

Standards

8.G.A.1.A8.G.A.1.B8.G.A.1.C8.G.A.2

Describe a sequence of rigid transformations that will map one figure onto another.

Standards

8.G.A.1.A8.G.A.1.B8.G.A.1.C8.G.A.2

Describe multiple rigid transformations using coordinate points.

Standards

8.G.A.28.G.A.3

Create patterns with congruent figures and use transformations to demonstrate the congruence between figures.

Standards

8.G.A.1.A8.G.A.1.B8.G.A.1.C8.G.A.28.G.A.3

Topic B: Similarity and Dilations

Define a dilation as a non-rigid transformation, and perform dilations on points, line segments, and figures using scale factor.

Standards

8.G.A.4

Describe and perform dilations.

Standards

8.G.A.4

Describe a sequence of dilations and rigid motions to show similarity between figures.

Standards

8.G.A.4

Describe the effects of dilations and rigid motions on figures using coordinate points.

Standards

8.G.A.38.G.A.4

Use properties of similar figures to find missing side lengths and to determine scale factor between similar figures.

Standards

8.G.A.4

Use properties of similar triangles to model and solve real-world problems.

Standards

8.G.A.4

Topic C: Angle Relationships

Define and identify corresponding angles in parallel line diagrams. Review vertical, supplementary, and complementary angle relationships.

Standards

8.G.A.28.G.A.5

Define and identify alternate interior and alternate exterior angles in parallel line diagrams. Find missing angles in parallel line diagrams.

Standards

8.G.A.28.G.A.5

Solve for missing angle measures in parallel line diagrams using equations.

Standards

8.G.A.5

Define and use the interior angle sum theorem for triangles.

Standards

8.G.A.5

Define and use the exterior angle theorem for triangles.

Standards

8.G.A.5

Define and use the angle-angle criterion for similar triangles.

Standards

8.G.A.5

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