12 Evaluate: Triangles and Constructions — Graded Assignment

This assignment will be graded and is worth 100 points.
Complete the activity as described in the rubric below then upload your documents to be graded. You may wish to paste your photograph into a Word document and show your work in the white space, or you may print your photo and show your work on clean page in your journal.
You may use your journal, calculator, and other resources to help you.
Be sure that you read the rubric below carefully and complete all parts.
1a. Find examples of 3 different triangles in art or architecture classified by angle measures: One acute triangle, one right triangle, and one obtuse triangle. Take a clear picture of each one or find them online. Print the images large enough so that you will be able to measure and label the angles on your print outs.
10 pts
1b. Using your protractor, measure the angles and label them on your printouts. Use your angle measurements to mathematically verify the Triangle Sum Theorem. Show all work and explain how this verifies the triangle sum theorem.
10 pts
1c. Using your protractor, measure the angles and use your angle measurements to mathematically verify the Exterior Angle Theorem. Show all work and explain how this verifies the exterior angle theorem.
10 pts
2a. Construct a pair of congruent triangles using a straightedge and compass. You may want to review how to construct congruent segments and congruent angles. Proper markings that reflect the use of a compass must be shown.
10 pts
2b. Prove each of the pairs of triangles are congruent by first choosing a shortcut and labeling only the measurements you need to use those shortcuts.
10 pts
3a. Using a straightedge and compass, draw an angle and construct an angle bisector. Make sure all construction marks are shown.
15 pts
3b. Using a straightedge and compass, draw a segment and construct a perpendicular bisector. Make sure all construction marks are shown.
15 pts

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