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Use Properties of Parallel Lines Cut by a Transversal

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Use Properties of Parallel Lines Cut by a Transversal

TEKS Math: 8.8.D

(D) Use informal arguments to establish facts about the angle sum and exterior angle of triangles, the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles.

AU Math: ACMMG163

(Y7) Identify corresponding, alternate and co-interior angles when two straight lines are crossed by a transversal (ACMMG163)

CCSS Math: 8.G.5

8.G.5 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. For example, 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.

This congruence lesson teaches students how to use the properties of parallel lines cut by a transversal. The lesson includes research-based strategies and strategic questions that prepare students for assessments. In this lesson, students will identify angle pairs as alternate/corresponding/interior/exterior angles and determine congruence.

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Standard Alignments:

TEKS Math: 8.8.D

(D) Use informal arguments to establish facts about the angle sum and exterior angle of triangles, the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles.

AU Math: ACMMG163

(Y7) Identify corresponding, alternate and co-interior angles when two straight lines are crossed by a transversal (ACMMG163)

CCSS Math: 8.G.5

8.G.5 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. For example, 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.


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