Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Dessin d'enfant wikipedia , lookup
Tessellation wikipedia , lookup
Penrose tiling wikipedia , lookup
Rational trigonometry wikipedia , lookup
Technical drawing wikipedia , lookup
Apollonian network wikipedia , lookup
Reuleaux triangle wikipedia , lookup
Trigonometric functions wikipedia , lookup
Euler angles wikipedia , lookup
History of trigonometry wikipedia , lookup
Pythagorean theorem wikipedia , lookup
Geometry Student Project Material Outline- Ch. 4 Pelosi Triangle Congruence Sec 1 -Classify and describe triangles by angles and sides: acute, equiangular, right, obtuse, equilateral, isosceles and scalene triangles. - Explain how to find missing values using side lengths from given information. -Teach how to draw and label previously mentioned triangles. Sec 2 -Explain and prove the interior angle sum of all triangles = 180. -Explain how the acute angles of a right triangle are complementary. -Explain how an exterior angle of a triangle =’s the sum of the two remote interior angles. Sec 3 -Explain how to draw and label congruent polygons. Focus on triangles. -Label corresponding angles and sides. All parts. -Explain how to solve for missing values when polygons are congruent. -Explain how to prove triangles are congruent. -Explain that if 2 angles of 1 triangle = 2 angles of another triangle then the 3 rd pairs =. Sec 4 -Explain how to prove triangles are congruent using SSS and SAS reasons. -Explain how to construct congruent triangles using SSS and SAS. -Explain that after you prove triangles are congruent that all corresponding parts of congruent triangles are congruent (CPCTC). Sec 5 - Explain how to prove triangles are congruent using ASA and AAS and reasons. - Explain how to construct congruent triangles using ASA. -Explain that after you prove triangles are congruent that all corresponding parts of congruent triangles are congruent (CPCTC). Sec 6 -Explain how to draw and label the parts of isosceles and equilateral triangles. -Explain that if 2 angles of a triangle are = then the sides opposite those angles are =. - Explain that if 2 sides of a triangle are = then the angles opposite those sides are =. -Explain that if a triangle is equiangular it is equilateral and vice versa. -Explain how to prove and solve for parts of isosceles and equilateral triangles. Sec 7 -Explain congruence transformations using translations, reflections and rotations -Explain how to draw each translation with triangles. -Explain how to find missing points through each translation on the coordinate plane. Sec 8 -Explain how to position polygons in the coordinated plane. -Explain how to prove congruent parts in a coordinated plane. -Explain how to label missing coordinates of objects in a coordinated plane.