Class Posts:

Preparing for Your Final Exam!!

Here are the tests and quizzes you should study for the Final Exam.  About 20% of the test will be drawn directly from the Fall Midterm; the remainder will be drawn from the tests and major quizzes taken this semester.

Volume, Lateral Area, and Surface Areas Formulas

We discussed all applicable formulas for areas and volumes of prisms, cylinders, pyramids, cones, and spheres.

Class Notes – Lateral Area, Surface Area, and Volume Formulas

Homework #4H16: Volume, Lateral Area, and Surface Area of a Solid, all problems.

Surface Area, Lateral Area, & Nets

Classwork/Homework #4H15: Solids, Nets, Surface Area, and Lateral Area

Space Figures and Cross Sections

Class Notes – Space Figures and Cross Sections

Homework #4H14: 11.1 – Space Figures and Cross Sections, #1-22.

Test Review: Circles

Class Notes – Test Review – Circles

Classwork/Homework #4H13: Review – Circles

Circles in the Coordinate Plane

Class Notes – Circles in the Coordinate Plane

Homework #4H12: Circles in the Coordinate Plane, all odd-numbered exercises.

Angles and Segments formed by Secants and Tangents in Circles

We learned rules for the measures of angles and segments formed by intersecting chords, secants, and tangents in a circle…

  • If two chords or secants to the same circle intersect inside the circle, the measure of the angle formed is half the sum of the measures of the two intercepted arcs.
  • If two secants (or two tangents, or a secant and a tangent) to the same circle intersect outside the circle, the measure of the angle formed is half the difference of the measures of the two intercepted arcs.
  • If two chords intersect inside a circle, the product of the measures of the two segments of one chord equals the product of the measures of the two segments of the other chord.
  • If two secant segments intersect outside a circle, the product of one secant segment measure and its external segment measure equals the product of the other secant segment measure and its external segment measure.
  • If a secant segment and a tangent segment intersect outside a circle, the square of the tangent segment measure equals the product of the secant segment measure and its external segment measure.

Whew! Obviously, these rules made a lot more sense when seen in the context of example problems.  I hope you took notes on the sample problems we worked in class!

Homework #4H11: 20110419 Geom HW – Segment and Angle Measures in Circles, all problems. (*This document is not the same one you received in class, but it contains the same type and number of problems.)

Inscribed Angles

Homework #4H10: Inscribed Angles, #1-16, 19.

More Arcs, Chords, Circles

Class Notes – More Arcs, Chords, Circles

Homework #4H09: Chords and Arcs, #3-6, 8-10, 14-17.

Tangent Lines

Class Notes – Tangent Lines

Homework #4H08: Tangent Lines, #1-15, 19.