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

IM 3115
Geometry II
1. Similarity
1.1 Define similarity.
1.2 Determine whether two polygons are similar using definition of similarity.
1.3 Find missing sides of various polygons using proportions.
1.4 State AA, SSS and SAS theorems for similar triangles.
1.5 Apply AS, SSS and SAS theorems in writing proofs.
1.6 State Proportionality Theorem and its converse and apply it to determining proportions in
similar triangles.
1.7 Apply Proportionality Theorem and its converse to writing proofs.
1.8 State Mean Proportion Theorem and corollaries and apply them to finding missing
variables in a triangle.
1.9 Apply concepts of similar triangles to word problems.
2. Plane Geometry:
The Circle
2.1 Identify parts of a circle and the lines and segments associated with circle.
2.2 State properties of a circle and use them to solve the numerical problems stated below:
2.2.1 the measure of an arc and its central angle.
2.2.2 the diameter and a chord that is perpendicular to it
2.2.3 two chords that are equidistant from the center
2.2.4 an inscribed angle and its intercepted arc
2.2.5 the opposite angles of an inscribed quadralateral
2.2.6 a tangent and the radius at the point of tangency
2.2.7 two tangents of a circle from same exterior point
2.2.8 the measure of an angle formed by two secants intersecting in the interior of a
circle and the measures of the intersecting arcs
2.2.9 the measure of an angle intersecting in the exterior of a circle and the measures of
the intersecting arc
2.2.10 the measure of an angle formed by the intersection of a secant and a tangent at
the point of tangency and the measure of the intersecting arcs
2.2.11 the measures of the parts of two intersecting arcs
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ABE Level III Curriculum