INDS 124 - Industrial Applied Geometry

2 Credit: (2 lecture, 0 lab, 0 clinical) 2 Contact Hours: [INDS 122 ]

1. Define axiom (postulate) and proposition (theorem).
2. Define the basic terms of geometry.
3. Illustrate axioms and propositions with drawings.
4. Define parts of a line.
5. Identify perpendicular lines and segments.
6. Identify parallel lines and segments.
7. State observations about given information and state conclusions.

Goal 2:  Compare the properties of angles.

1. Distinguish between types of angles (using measures).
2. Determine the decimal equivalent of an angle measure.
3. Convert an angle expressed as a decimal to degrees, minutes and seconds.
4. Determine the measure of an included angle.
5. Determine the measures for the complements and supplements of angles.
6. Add, subtract and divide angle measures.
7. Determine angle measures using vertical angles.
8. Determine angle measures using parallel lines and transversals.
9. Determine angle measures using exterior angles.
10. Identify parts of a triangle.
11. Apply the Pythagorean Theorem.
12. Solve application problems about right triangles.
13. Apply the projection of sides proposition.
14. Identify properties of basic polygons.
15. Determine the sum of the interior angles of any polygon.
16. Determine equal angles using parallel and perpendicular sides of polygons.
17. Determine the length of the arc intercepted by a given central angle.
18. Determine the measure of a central angle of a circle.
19. Determine the measures of inscribed angles.
20. Determine the measure of angles formed by two tangents.
21. Determine the measures of angles formed by two secants.
22. Determine the measures of angles formed by secants and tangents.
23. Bisect an angle.
24. Construct the angle bisectors of a triangle.
25. Construct a copy of an angle.

Goal 3:  Examine geometric figures.

1. Using tangent lines to solve problems.
2. Identify similar figures.
3. Solve problems involving similar figures.
4. Solve problems about the angles and sides of quadrilaterals.
5. Apply formulas to find lengths of sides of geometric figures.
6. Identify the basic parts of a circle.
7. Define basic terms used in circular measurement.
8. Determine the perimeter of a plane figure.
9. Determine the circumference of a circle.
10. Determine the area of a rectangle or parallelogram.
11. Determine the area of a square.
12. Determine the area of a trapezoid.
13. Determine the area of a triangle.
14. Determine the area of a circle.
15. Determine the lengths of segments formed by two chords intersecting inside the circle.
16. Construct a circle with a given radius.
17. Construct a regular hexagon.
18. Determine its center given a circle or arc.
19. Construct the altitudes of a triangle.
20. Determine volumes of solids including rectangular solids, cylinders, cones, spheres.
21. Convert between and among English and metric measurements.

Goal 4:  Examine lines.         

1. Bisect a line segment.
2. Construct a line perpendicular to a given line, through a point on the given line.
3. Construct a line perpendicular to a given line, through a point not on the given line.
4. Construct a line parallel to a given line through a point not on the given line.
5. Construct parallel lines.