Program Guide - Department of Human Resources, Labour and ...

IM 3114
Geometry I
1. Parallel Lines
1.1 State conditions which determine parallel lines.
1.2 Identify congruent angles when a transversal cuts two parallel lines.
1.3 Apply properties of parallel lines to determine measures of angles.
1.4 Apply properties of parallel lines to writing two column proofs.
2. Congruence
2.1 Identify corresponding parts of congruent triangles.
2.2 State SSS, SAS, and ASA postulates for congruent triangles.
2.3 Define reflexive, symmetric and transitive properties.
2.4 Write a two column proof proving two triangles congruent.
2.5 Use concept of congruent triangles to further prove:
(a) angles are congruent or right angles
(b) angles are complementary or supplementary
(c) segments are congruent
(d) triangles are isosceles or right triangles
2.6 Apply following to proofs involving congruent triangles:
(a) concepts of medians, altitudes, and bisectors
(b) properties of isosceles and equilateral triangles
3. 3-D Geometry
3.1 Develop and use formula for surface area of a cone.
3.2 Apply formula for surface area of a sphere.
3.3 Find surface areas of solids in problem solving situations.
3.4 Find volume of a sphere.
3.5 Investigate property of volume using the fact that if two solids have same Crosssectional
area at every level and same height, then they have same volume.
3.6 Find volume of various solids in problem solving situations.
3.7 Define solids of revolution.
3.8 Identify correct solid of revolution.
3.9 Sketch solid of revolution given coordinates of vertices.
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ABE Level III Curriculum