**UNIT 10: Planes***Test - Friday, May 24th, 2013*

**TOPICS:**

- Find the inverse, converse, and contrapositive of a conditional and identify its truth value
- Determine the truth value of conjunctions and disjunctions and justify its truth value
- Understand and apply properties of planes
- Know key terms involving planes: coplanar, skew, perpendicular, parallel, etc.

**UNIT 9: Surface Area and Volume***Test - Monday, May 16th, 2013*

**TOPICS:**

- Understand and apply the formulas on the reference sheet for surface area, lateral area, and volume for three-dimensional figures
- Identify the shapes of the faces of three-dimensional figures
- Understand the relationship between similar figures and solids and their corresponding side lengths, perimeter, area, and volume (If the similarity ratio is a:b, then the ratio of their perimeters is a:b, the ratio of their areas is a^2:b^2, and the ratio of their volumes is a^3:b^3.)

**UNIT 8: Transformations***Test - Monday, April 29th, 2013*

**TOPICS:**

- Transform figures on a coordinate plane (translations, rotations, reflections, dilations, and compositions of transformations)
- Identify a transformation that has taken place
- Identify invariant properties (properties that are preserved, such as orientation, parallelism, angle measures, etc.)
- Understand and apply notation for transformations (including composition of transformations)

**UNIT 7: Similarity***Test - Tuesday, April 16th, 2013*

**TOPICS:**

- Proving two triangles are similar using AA~, SAS~, SSS~
- Finding missing side lengths and angles of similar triangles
- Mean proportionality in right triangles
- Side-Splitter Theorem (and its corollary)
- Angle Bisector Theorem

**UNIT 6: Circles***Test - Thursday, March 21st, 2013*

**TOPICS:**

- Pythagorean Theorem (including special right triangles and finding the altitude in trapezoids)
- Properties of tangents (perpendicular to radius, tangents from the same point are congruent)
- Properties of chords (congruent chords define congruent arcs and congruent central angles, congruent chords are equidistant from the center of a circle, a diameter that is perpendicular to a chord also bisects a chord)
- Central Angles are equal to the arcs they intercept
- Inscribed Angles are equal to half of the arcs they intercept. (Practice with Khan Academy here and here and here.)
- Angles formed by a chord and a tangent are half of the intercepted arc
- Know the formulas for angles formed by two chords, two tangents, a tangent and a secant, or two secants
- Know the formulas for finding the length of chords, tangents, and secants
- Practice all circle stuff here!
- Locus Locus Theorem #1. Locus Theorem #2. Locus Theorem #3. Locus Theorem #4. Locus Theorem #5.
- Compound Locus
- Locus on a Coordinate Plane
- Proofs with Circles

*Quiz- Friday, March 8th, 2013*

**TOPICS:**

- Pythagorean Theorem (including special right triangles and finding the altitude in trapezoids)
- Properties of tangents (perpendicular to radius, tangents from the same point are congruent)
- Properties of chords (congruent chords define congruent arcs and congruent central angles, congruent chords are equidistant from the center of a circle, a diameter that is perpendicular to a chord also bisects a chord)
- Central Angles are equal to the arcs they intercept
- Inscribed Angles are equal to half of the arcs they intercept. (Practice with Khan Academy here and here and here.)
- Angles formed by a chord and a tangent are half of the intercepted arc
- Know the formulas for angles formed by two chords, two tangents, a tangent and a secant, or two secants
- Know the formulas for finding the length of chords, tangents, and secants

**UNIT 5: Polygon Properties***Test - Friday, February 15th, 2013*

**TOPICS:**

- Determine the sum of the interior angles in any polygon (Practice here.)
- Determine the measure of one angle in any regular polygon
- Determine the sum of the exterior angles in any polygon (Practice here.)
- Determine the measure of one exterior angle in any regular polygon
- Given the measure of one interior or exterior angle in a regular polygon, determine how many sides the figure has
- Know the definitions of quadrilaterals (kite, trapezoid, isosceles trapezoid, parallelogram, rectangle, rhombus, square)
- Know and apply the properties of quadrilaterals (kite, trapezoid, isosceles trapezoid, parallelogram, rectangle, rhombus, square) - (Practice here.)
- Prove properties about quadrilaterals are true
- Show properties of quadrilaterals are true on a coordinate plane
- Know and apply slope, midpoint, and distance formulas (Practice distance formula here.)
- Write radicals in simplest form (Practice here.)

*Quiz - Monday, February 4th, 2013*

**TOPICS:**

- Determine the sum of the interior angles in any polygon (Practice here.)
- Determine the measure of one angle in any regular polygon
- Determine the sum of the exterior angles in any polygon (Practice here.)
- Determine the measure of one exterior angle in any regular polygon
- Given the measure of one interior or exterior angle in a regular polygon, determine how many sides the figure has

**UNIT 4: Triangles***Test - Thursday, January 17th, 2013*

**TOPICS:**

- Triangle Angle-Sum Theorem (180 degrees in a triangle)
- Triangle Exterior Angle Theorem
- Triangle Inequality Theorem (Practice here too.)
- Identifying the largest side (or smallest) in a triangle when giving only the angle measurements
- Identifying the largest angle (or smallest) in a triangle when giving only the side length
- Stating whether or not two triangles are congruent using SSS, SAS, ASA, AAS, or HL
- Using CPCTC
- Completing Formal Proofs about triangles using a paragraph, two-column, or flow chart proof
- Finding the converse and conditional (and if relevant, the biconditional)

*Quiz - Thursday, December 6th, 2012*

**TOPICS:**

- Triangle Angle-Sum Theorem (either proving it, or using it to complete other proofs about triangles)
- Triangle Exterior Angle Theorem
- Triangle Inequality Theorem (Practice here too.)
- Identifying the largest side (or smallest) in a triangle when giving only the angle measurements
- Identifying the largest angle (or smallest) in a triangle when giving only the side length
- Stating whether or not two triangles are congruent using SSS, SAS, ASA, or AAS

**UNIT 3: Using Tools of Geometry***Test - Tuesday, November 20th, 2012*

**TOPICS:**

- Constructions! Any construction from your construction packet notes could be on this test. (Copying an angle or segment, perpendicular bisector, angle bisector, equilateral triangle, parallel line, perpendicular line through a given point on and off a line. These constructions can also be used to construct the altitude and median of a triangle. See a good review site here.)
- Identifying perpendicular bisectors, angle bisectors, medians, altitudes, and midsegments.
- The names of the points of concurrency for perpendicular bisectors, angle bisectors, medians, and altitudes (circumcenter, incenter, centroid, and orthocenter) and their properties (e.g. The circumcenter is equidistant from the vertices of the triangle and is used to circumscribe a circle about a triangle.)
- The Triangle Midsegment Theorem
- Angle bisector theorem and perpendicular bisector theorem (and their converses)
- Slopes of perpendicular lines (and finding equations perpendicular to a given line that pass through a given point)

*Quiz 1 - Thursday, November 8th, 2012*

**TOPICS:**

- Constructions! Any construction from your construction packet notes could be on this quiz. (Copying an angle or segment, perpendicular bisector, angle bisector, parallel line, perpendicular line through a given point on and off a line. These constructions can also be used to construct the altitude and median of a triangle.)

**UNIT 2: Reasoning***Test - Monday, October 15th, 2012*

**TOPICS:**

- Differentiate between inductive and deductive reasoning and be able to apply both types of reasoning to problem situations
- Use inductive reasoning to determine general rules or functions to describe a certain numerical pattern
- Identify corresponding, alternate interior, alternate exterior, same-side interior, and same-side exterior angles and be able to use their relationships to determine missing angle measures or determine whether or not lines are parallel
- Finding the slope of a line, determining the equation of a line that is parallel to a given line and passes through a given point
- Anything from Unit 1!

**UNIT 1: Fundamentals***Test - Friday, September 28th, 2012*

**TOPICS:**

- Midpoint Formula (know the formula and be able to use it to find the midpoint of a segment, or to determine the endpoint of a segment given its midpoint and other endpoint)
- Segment Addition Postulate (apply the postulate to determine missing side lengths)
- Identify and name points, lines, planes, segments, and rays
- Angle Addition Postulate (apply the postulate to determine missing angle measures)
- Identify Angles (acute, obtuse, right) and angle pairs (complementary, supplementary, adjacent, vertical) and use the relationships to determine missing angle measures
- Finding missing angle measures in triangles
- Using properties of isosceles triangles to determine side lengths
- Classifying quadrilaterals and determining missing angle measures and side lengths
- Identifying parts of a circle (radius, diameter, chord, secant, tangent, minor arc, major arc, semicircle)

*Quiz 1 - Wednesday, September 19th, 2012*

**TOPICS:**

- Midpoint Formula (know the formula and be able to use it to find the midpoint of a segment, or to determine the endpoint of a segment given its midpoint and other endpoint)
- Segment Addition Postulate (apply the postulate to determine missing side lengths)
- Identify and name points, lines, planes, segments, and rays
- Angle Addition Postulate (apply the postulate to determine missing angle measures)
- Identify Angles (acute, obtuse, right) and angle pairs (complementary, supplementary, adjacent, vertical) and use the relationships to determine missing angle measures