Geometry Study Sheet: Chapter 6 by Tristen Wallace https://padlet.com/20wallacetl/1kbdte8x3eum Includes 3 example problems and all vocab en-us 2016-12-18 22:41:03 UTC 2023-10-14 05:34:43 UTC hello@padlet.com Polygon Angle-Sum Theorem (6-1) 20wallacetl https://padlet.com/20wallacetl/1kbdte8x3eum/wish/144246863 The sum of the measures of the interior angles of an n-gon is (n-2) 180]]> 2016-12-18 22:43:17 UTC https://padlet.com/20wallacetl/1kbdte8x3eum/wish/144246863 equilateral polygon: a polygon with all sides congruent 20wallacetl https://padlet.com/20wallacetl/1kbdte8x3eum/wish/144246974 2016-12-18 22:47:19 UTC https://padlet.com/20wallacetl/1kbdte8x3eum/wish/144246974 equiangular polygon: is a polygon with all angles congruent 20wallacetl https://padlet.com/20wallacetl/1kbdte8x3eum/wish/144246989 2016-12-18 22:47:43 UTC https://padlet.com/20wallacetl/1kbdte8x3eum/wish/144246989 regular polygon: a polygon that is both equilateral and equiangular 20wallacetl https://padlet.com/20wallacetl/1kbdte8x3eum/wish/144247013 2016-12-18 22:48:14 UTC https://padlet.com/20wallacetl/1kbdte8x3eum/wish/144247013 Corollary to the Polygon Angle-Sum Theorem 20wallacetl https://padlet.com/20wallacetl/1kbdte8x3eum/wish/144247021 2016-12-18 22:48:28 UTC https://padlet.com/20wallacetl/1kbdte8x3eum/wish/144247021 Polygon Angle-Sum Theorem (6-2) 20wallacetl https://padlet.com/20wallacetl/1kbdte8x3eum/wish/144247078 The sum of the measures the exterior angles of a polygon, on at each vertex, is 360]]> 2016-12-18 22:50:05 UTC https://padlet.com/20wallacetl/1kbdte8x3eum/wish/144247078 parallelogram: a quadrilateral with both pairs of opposite sides parallel 20wallacetl https://padlet.com/20wallacetl/1kbdte8x3eum/wish/144247114 2016-12-18 22:51:10 UTC https://padlet.com/20wallacetl/1kbdte8x3eum/wish/144247114 opposite sides: sides that do not share a verte 20wallacetl https://padlet.com/20wallacetl/1kbdte8x3eum/wish/144247129 2016-12-18 22:51:44 UTC https://padlet.com/20wallacetl/1kbdte8x3eum/wish/144247129 opposite angles: angles that do not share a side 20wallacetl https://padlet.com/20wallacetl/1kbdte8x3eum/wish/144247138 2016-12-18 22:52:02 UTC https://padlet.com/20wallacetl/1kbdte8x3eum/wish/144247138 consecutive angles: angles of a polygon that share a side 20wallacetl https://padlet.com/20wallacetl/1kbdte8x3eum/wish/144247153 2016-12-18 22:52:29 UTC https://padlet.com/20wallacetl/1kbdte8x3eum/wish/144247153 Theorem 6-4 20wallacetl https://padlet.com/20wallacetl/1kbdte8x3eum/wish/144247155 If a quadrilateral is a parallelogram, then its consecutive angles are supplementary]]> 2016-12-18 22:52:33 UTC https://padlet.com/20wallacetl/1kbdte8x3eum/wish/144247155 Theorem 6-5 20wallacetl https://padlet.com/20wallacetl/1kbdte8x3eum/wish/144247171 If a quadrilateral is a parallelogram, then its opposite angles are congruent]]> 2016-12-18 22:53:23 UTC https://padlet.com/20wallacetl/1kbdte8x3eum/wish/144247171 Theorem 6-6 20wallacetl https://padlet.com/20wallacetl/1kbdte8x3eum/wish/144247186 If a quadrilateral is a parallelogram, then its diagonals bisect each other]]> 2016-12-18 22:54:07 UTC https://padlet.com/20wallacetl/1kbdte8x3eum/wish/144247186 Theorem 6-7 20wallacetl https://padlet.com/20wallacetl/1kbdte8x3eum/wish/144247197 If 3 or more parallel lines cut off congruent segments on one transversal, then they cut off congruent segments on every transversal]]> 2016-12-18 22:54:44 UTC https://padlet.com/20wallacetl/1kbdte8x3eum/wish/144247197 Theorem 6-8 20wallacetl https://padlet.com/20wallacetl/1kbdte8x3eum/wish/144247236 If both paris of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram]]> 2016-12-18 22:56:08 UTC https://padlet.com/20wallacetl/1kbdte8x3eum/wish/144247236 Theorem 6-9 20wallacetl https://padlet.com/20wallacetl/1kbdte8x3eum/wish/144247251 If an angle of a quadrilateral is supplementary to both of its consecutive angles, then the quadrilateral is a parallelogram]]> 2016-12-18 22:56:51 UTC https://padlet.com/20wallacetl/1kbdte8x3eum/wish/144247251 Theorem 6-10 20wallacetl https://padlet.com/20wallacetl/1kbdte8x3eum/wish/144247270 If both pairs of opposite angles of a quadrilateral are congruent, then the quadrilateral is a parallelogram]]> 2016-12-18 22:57:33 UTC https://padlet.com/20wallacetl/1kbdte8x3eum/wish/144247270 Theorem 6-11 20wallacetl https://padlet.com/20wallacetl/1kbdte8x3eum/wish/144247298 If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram]]> 2016-12-18 22:58:20 UTC https://padlet.com/20wallacetl/1kbdte8x3eum/wish/144247298 Theorem 6-12 20wallacetl https://padlet.com/20wallacetl/1kbdte8x3eum/wish/144247321 If one pair of opposite sides of a quadrilateral is both congruent and parallel, then the quadrilateral is a parallelogram]]> 2016-12-18 22:58:58 UTC https://padlet.com/20wallacetl/1kbdte8x3eum/wish/144247321 rhombus 20wallacetl https://padlet.com/20wallacetl/1kbdte8x3eum/wish/144247440 2016-12-18 23:02:09 UTC https://padlet.com/20wallacetl/1kbdte8x3eum/wish/144247440 square 20wallacetl https://padlet.com/20wallacetl/1kbdte8x3eum/wish/144247470 2016-12-18 23:02:59 UTC https://padlet.com/20wallacetl/1kbdte8x3eum/wish/144247470 rectangle 20wallacetl https://padlet.com/20wallacetl/1kbdte8x3eum/wish/144247679 2016-12-18 23:09:29 UTC https://padlet.com/20wallacetl/1kbdte8x3eum/wish/144247679 Theorem 6-13 20wallacetl https://padlet.com/20wallacetl/1kbdte8x3eum/wish/144247693 If a parallelogram is a rhombus, then its diagonals are perpendicular]]> 2016-12-18 23:09:51 UTC https://padlet.com/20wallacetl/1kbdte8x3eum/wish/144247693 Theorem 6-14 20wallacetl https://padlet.com/20wallacetl/1kbdte8x3eum/wish/144247710 If a parallelogram is a rhombus, then each diagonal bisects a pair of opposite angles]]> 2016-12-18 23:10:25 UTC https://padlet.com/20wallacetl/1kbdte8x3eum/wish/144247710 Theorem 6-15 20wallacetl https://padlet.com/20wallacetl/1kbdte8x3eum/wish/144247724 If a parallelogram is a rectangle, then its diagonals are congruent]]> 2016-12-18 23:11:02 UTC https://padlet.com/20wallacetl/1kbdte8x3eum/wish/144247724 Theorem 6-16 20wallacetl https://padlet.com/20wallacetl/1kbdte8x3eum/wish/144247749 If the diagonals of a parallelogram are perpendicular, then the parallelogram is a rhombus]]> 2016-12-18 23:12:24 UTC https://padlet.com/20wallacetl/1kbdte8x3eum/wish/144247749 Theorem 6-17 20wallacetl https://padlet.com/20wallacetl/1kbdte8x3eum/wish/144247775 If one diagonal of a parallelogram bisects a pair of opposite angles, then the parallelogram is a rhombus]]> 2016-12-18 23:13:10 UTC https://padlet.com/20wallacetl/1kbdte8x3eum/wish/144247775 Theorem 6-1 20wallacetl https://padlet.com/20wallacetl/1kbdte8x3eum/wish/144247803 If the diagonals of a parallelogram are congruent, then the parallelogram is a rectangle]]> 2016-12-18 23:13:46 UTC https://padlet.com/20wallacetl/1kbdte8x3eum/wish/144247803 trapezoid: a quadrilateral with exactly one pair of parallel sides called bases 20wallacetl https://padlet.com/20wallacetl/1kbdte8x3eum/wish/144247832 2016-12-18 23:14:57 UTC https://padlet.com/20wallacetl/1kbdte8x3eum/wish/144247832 bases: parallel sides of a trapezoid 20wallacetl https://padlet.com/20wallacetl/1kbdte8x3eum/wish/144247847 2016-12-18 23:15:32 UTC https://padlet.com/20wallacetl/1kbdte8x3eum/wish/144247847 legs: the nonparallel sides of a trapezoid 20wallacetl https://padlet.com/20wallacetl/1kbdte8x3eum/wish/144247851 2016-12-18 23:15:36 UTC https://padlet.com/20wallacetl/1kbdte8x3eum/wish/144247851 base angles: the 2 angles that share a base; trapezoids have 2 pairs of base angles 20wallacetl https://padlet.com/20wallacetl/1kbdte8x3eum/wish/144247859 2016-12-18 23:15:59 UTC https://padlet.com/20wallacetl/1kbdte8x3eum/wish/144247859 Theorem 6-19 20wallacetl https://padlet.com/20wallacetl/1kbdte8x3eum/wish/144247873 If a quadrilateral is an isosceles trapezoid, then each pair of base angles is congruent]]> 2016-12-18 23:16:35 UTC https://padlet.com/20wallacetl/1kbdte8x3eum/wish/144247873 Theorem 6-20 20wallacetl https://padlet.com/20wallacetl/1kbdte8x3eum/wish/144247902 If a quadrilateral is an isosceles trapezoid, then its diagonals are congruent]]> 2016-12-18 23:17:18 UTC https://padlet.com/20wallacetl/1kbdte8x3eum/wish/144247902 Trapezoid Midsegment Theorem (6-21) 20wallacetl https://padlet.com/20wallacetl/1kbdte8x3eum/wish/144247943 If a quadrilateral is a trapezoid, then the mid segment is parallel to the bases, and the length of the mid segment is half the sum of the lengths of the bases]]> 2016-12-18 23:18:41 UTC https://padlet.com/20wallacetl/1kbdte8x3eum/wish/144247943 Distance Formula 20wallacetl https://padlet.com/20wallacetl/1kbdte8x3eum/wish/144248029 2016-12-18 23:21:42 UTC https://padlet.com/20wallacetl/1kbdte8x3eum/wish/144248029 20wallacetl https://padlet.com/20wallacetl/1kbdte8x3eum/wish/144248045 2016-12-18 23:22:18 UTC https://padlet.com/20wallacetl/1kbdte8x3eum/wish/144248045 Slope Formula 20wallacetl https://padlet.com/20wallacetl/1kbdte8x3eum/wish/144248057 2016-12-18 23:22:42 UTC https://padlet.com/20wallacetl/1kbdte8x3eum/wish/144248057 Example 1 20wallacetl https://padlet.com/20wallacetl/1kbdte8x3eum/wish/144249071 2016-12-19 00:00:11 UTC https://padlet.com/20wallacetl/1kbdte8x3eum/wish/144249071 Example 2 20wallacetl https://padlet.com/20wallacetl/1kbdte8x3eum/wish/144249078 2016-12-19 00:00:27 UTC https://padlet.com/20wallacetl/1kbdte8x3eum/wish/144249078 Example 3 20wallacetl https://padlet.com/20wallacetl/1kbdte8x3eum/wish/144249099 2016-12-19 00:01:03 UTC https://padlet.com/20wallacetl/1kbdte8x3eum/wish/144249099