# Geometry Semester Review_Fall 2017

#### Course #: GeoRevFall17

North Austin, Texas-MTAT Office

Sunday, December 10, 2017

Geometry Fall Review

Sun, 12/10 1:00p-3:00p

Mon, 12/11 7:00p-9:00p

This is a 4-hour review split into two 2-hour sessions. Students must attend ALL dates listed.

Review materials will be provided. Topics covered will include:

**Basic Geometry:**

- Identifying collinear and coplanar points
- Distance Formula
- Midpoint Formula: finding both midpoint and endpoint, solving problems with algebra
- Solving problems using angle relationships: linear pairs, vertical angles, supplementary angles, complementary angles, angle bisectors

**Logic:**

- Counterexamples
- Conditional Statements: Inverse, Converse, Contrapositive, and Bi-Conditional
- Venn Diagrams

**Properties of Equality and Congruence**

**Parallel Lines and Skew Lines**

- Special Angle Pairs: Alternate Interior, Alternate Exterior, Corresponding, Consecutive (Same Side) Interior
- Parallel Lines Cut by a Transversal: using Algebra to find missing values.
- Proving Lines Parallel using Alternate Interior, Alternate Exterior, Corresponding, and Consecutive Interior Angles Converses

**Finding the slope of a line using the slope formula**

**Using slope to determine if lines are parallel or perpendicular**

**Writing the equation of a line parallel or perpendicular to a given line that passes through a certain point**

**Triangles:**

- Triangle Sum Theorem: finding missing angles in triangles with Algebra
- Triangle Exterior Angle Theorem
- Congruent Triangles
- Proving Triangles are Congruent: SSS, SAS, ASA, AAS, and HL
- Determine possible lengths for the sides of a triangle
- Triangle Inequalities: ordering sides given angles and angles given sides

**Quadrilaterals:**

- Angles of polygons
- Parallelograms
- Tests for Parallelograms in the Coordinate Plane: using distance and slope formulas to prove parallelograms
- Rectangles
- Rhombi and Squares
- Quadrilaterals in the Coordinate Plane: Is it a parallelogram, rectangle, rhombus, or square?
- Non-Isosceles and Isosceles Trapezoids
- Midsegment of a Trapezoid
- Kites

**Transformations:**

- Reflections: in the x-axis, y-axis, y=x, y=-x, and vertical and horizontal lines
- Translations
- Rotations: 90 degree, 180 degree, and 270 degree counterclockwise rotations about the origin
- Symmetry (Line, Point, and Rotational)
- Dilations

**Constructions** (will not be covered, but practice and assistance will be available for students who learned these)**:**

- Perpendicular bisectors
- Perpendicular line through a point on the line
- Perpendicular line through a point NOT on the line
- Line parallel to a given line through a given point
- Angle bisectors
- Congruent angles

### Registration is Offline

Sorry! We are doing some maintenance to our online registration. We expect it be online again with a day or two.

Call our office to register. 512-453-7272