In these three Common Core-aligned angle relationships discovery worksheets, students will be able to determine a missing angle measure given interior and/or exterior angles of a triangle, identify angle relationships when parallel lines are cut by a transversal, and explain the angle-angle criterion for similarity of triangles.
-3 two-page worksheets (with answer keys)
-Vocabulary Sheet organizing 16 geometry-related words (4 different versions)
-Teacher's Guide with CCSS, objectives, materials, and procedure
Worksheet #1: Discovering Interior and Exterior Angle Relationships
Given visual representations, students will understand why the interior angle sum of a triangle is the same as the sum of the angles creating a straight line. In this same activity, students will go on to deduce why given an angle in a triangle, its exterior angle will have the same degree measure as the sum of the other two angles in the triangle.
Worksheet #2: Discovering Angle Relationships when Parallel Lines are Cut by a Transversal
In this activity, students will understand that given parallel lines cut by a transversal, every angle is either congruent or supplementary to the other angles formed in the figure. Students will be able to identify angle relationships including alternate interior angles, alternate exterior angles, corresponding angles, vertical angles, adjacent angles, and same-side interior angles. Students will understand which of these relationships result in congruent pairs of angles and which of these relationships result in supplementary angles.
Worksheet #3: Discovering Angle Relationships and Similarity
Students will review their knowledge of relationships between corresponding side lengths and corresponding angles when polygons are congruent and when they are similar. Then they will explore three triangle relationships that will lead them to conclude the angle-angle criterion for triangle similarity.
Angle Relationships Vocabulary
There are four versions of the vocabulary sheet included:
This version is great for your accelerated or higher level courses with students who are strong note-takers. This may also be a great way to review by asking to students to fill in the information at the end of the unit.
Vocabulary and Definition:
I use this version with my standard level eighth grade classes. I read the word and definition, give a brief explanation, then we all draw in the example. This provides a great visual without a lot of writing.
Vocabulary, Definition and Example:
Great for students who require filled in notes or have been absent.
Definition and Example:
Alternative copy for those who require minimal writing. Students only need to fill in the vocabulary word and they have a great visual already provided. This version could also be used as a good review activity.
This product is part of the Discovery-Based Worksheet Series. Discovery-Based Worksheets have been specially designed to engage students in learning that moves beyond traditional skills practice. Students will develop a deeper understanding of the big idea and will make connections between concepts. These worksheets make a great introduction to a new topic or summary at the end of a lesson or unit. Try one today!
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