Download Geometry I can statements

Geometry I can statements
Unit 3: Polygons and Circles
1. I can prove that triangles are congruent using SSS, SAS, ASA, AAS.
2. I can use theorems about congruent triangles to prove additional theorems and
solve problems.
3. I can solve multi-step problems and construct proofs involving vertical angles,
linear pairs, supplementary angles, complementary angles, and right angles.
4. Solve multi-step problems and construct proofs involving corresponding angles,
alternate interior angles, exterior angles, and same-side interior angles.
5. I can construct proofs about the properties of medians, altitudes, and
perpendicular bisectors of a triangle.
6. I can construct the medians, altitudes, and perpendicular bisectors of a triangle
using a compass and straight edge.
7. I can perform and justify constructions including the perpendicular bisector of a
segment, the angle bisector, and perpendicular line.
8. I can explain the importance of  .
9. I can carry units of measure through calculations correctly.
10. I can prove that the angle sum of a triangle is 180o and that an exterior angle of a
triangle is the sum of the two remote interior angles.
11. I can construct and justify arguments and solve multi-step problems involving
angle measure, side length, perimeter, and area of all types of triangles.
12. I can construct a proof of the Pythagorean Theorem.
13. I can use the Law of Sines and the Law of Cosines to solve triangles.
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14. I can find the area of a triangle using the formula A  ab sin 
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15. I can find the area of a regular polygon
16. I can find the measure of the interior and exterior angles of a regular polygon.
17. I can solve problems and justify arguments about central angles, inscribed angles,
and triangles in circles.
18. I can use properties of arcs and sectors and find lengths of arcs and areas of
sectors.