Download Geometry Student Project Material Outline

Geometry Student Project Material Outline- Ch. 10
Pelosi
Circles
Sec 1 -In a circle define, draw and label: the name of a circle, center, radius, chord and
diameter.
-Explain congruent circles and concentric circles.
-Explain how to find the circumference of circles.
-Explain inscribed and circumscribed polygons on a circle.
Sec 2 -Explain central angles, minor arcs, major arcs and semicircles.
-Explain congruent arcs and adjacent arcs.
-Explain how to solve for arc lengths.
Sec 3 -Explain that when a diameter or a radius are perpendicular to a chord it bisects the
chord and the arc. Explain the converse of this.
-Explain that 2 chords are congruent if they are equidistant from the center.
Sec 4 -Explain inscribed angles and intercepted arcs.
-Explain how to solve for inscribed angles.
-Explain that inscribed angles intercepting the same arc are equal.
-Explain that an inscribed angle intercepting the diameter is a right angle.
-Explain an inscribed quadrilateral has supplementary opposite angles.
Sec 5 -Define and explain a tangent, point of tangency, common internal and common
external tangents.
-Explain how a tangent to a radius is perpendicular and its converse.
-Explain if 2 segments from one point are tangent to the same circle they are equal.
Sec 6 -Define and explain a secant.
-Explain that if a tangent and a secant intersect at a point of tangency that the angle
formed is half of the intercepted arc.
-Explain that the angle formed by 2 secants outside a circle is half of the difference of
the intercepted arcs.
-Explain that the angle formed by 2 secants inside a circle is half of the sum of the
intercepted arcs.
-Explain that the angle formed by 2 tangents from the same point is half of the
difference of the intercepted arcs.
Sec 7 -Explain that intersect chords segments are equal when multiplied together.
-Explain that the product of a secant and its external secant segment equals the other if
two secants intersect at the same point.
-Explain that the same is true for a tangent and a secant.