Lesson 14 | Transformations and Angle Relationships | 8th Grade Mathematics

Objective

Determine and informally prove or disprove if two figures are similar or congruent using transformations.

Lesson Map

Topic A: Congruence and Rigid Transformations

Lesson

Understand the rigid transformations that move figures in the plane (translation, reflection, rotation).

Standards

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

Lesson

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

Lesson

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

Lesson

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

Standards

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

Lesson

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

Lesson

Describe and perform rotations between congruent figures.

Standards

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

Lesson

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

Lesson

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

Lesson

Describe multiple rigid transformations using coordinate points.

Standards

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

Lesson

Review rigid transformations and congruence between two 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

Lesson

Define a dilation as a non-rigid transformation, and understand the impact of scale factor.

Standards

8.G.A.4

Lesson

Describe and perform dilations.

Standards

8.G.A.4

Lesson

Describe a sequence of dilations and rigid motions between two figures. Use coordinate points to represent relationships between similar figures.

Standards

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

Lesson

Determine and informally prove or disprove if two figures are similar or congruent using transformations.

Standards

8.G.A.28.G.A.4

Lesson

Find missing side lengths in similar figures. Find scale factor between similar figures.

Standards

8.G.A.4

Lesson

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

Standards

8.G.A.4

Topic C: Angle Relationships

Lesson

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

Standards

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

Lesson

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

Lesson

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

Standards

8.G.A.5

Lesson

Define and use the interior angle sum theorem for triangles.

Standards

8.G.A.5

Lesson

Define and use the exterior angle theorem for triangles.

Standards

8.G.A.5

Lesson

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

Standards

8.G.A.5

Transformations and Angle Relationships

Objective

Lesson Map

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Transformations and Angle Relationships

Objective

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Math

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