Download Geometry Student Project Material Outline

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.