Welcome to Algebra 1

Geometry 12/13 December 2012Place binder and text on desk.Do warm up. Do proof strip. Complete back of pink sheet, summarizing polygon properties. Finished? Do pg. 301: 2 objectiveStudents will explore and apply polygon properties.

Students will work collaboratively to do investigations, write conjectures and apply properties to solve problems.TEST- proofs, polygon properties TODAY

Semester Review Packet due on your final exam dayP2- Monday, December 17P3- Tuesday, December 18P5 and P6- Wednesday, December 19

Ill call out the name of a polygon. You have 30 seconds to mark all congruencies, angles, etc, you know about the polygon.Time up? Trade papers with a partner. Partner has 30 seconds to ADD any additional information.WHOLE CLASS review anything else?REPEAT!!! Polygon PropertiesCHALLENGEKite Properties

Triangle MidsegmentThe segment connecting the midpoints of two sides of a triangle is parallel to the 3rd side and is half as long.

Isosceles Trapezoids

if a quadrilateral is a parallelogramopposite sides are parallel (DEFINITION)opposite sides are congruentopposite angles are congruentconsecutive angles are supplementarydiagonals bisect each other

Definitions..finishRectangle- an equiangular parallelogram Rhombus- an equilateral parallelogram

Square- an equilateral, equiangular parallelogram

Rectangle PropertiesAll properties of a parallelogram AND:Diagonals are congruentAll angles are congruent (90)

Rhombus Properties

Rhombuses share all properties of a parallelogram AND:(1)Consecutive sides of a rhombus are congruent.(2)The diagonals of a rhombus bisect pairs of opposite angles.(3)The diagonals of a rhombus are perpendicular.

Squares share all properties of a parallelogram AND rectangles AND rhombus CAN YOU NAME all the properties?

Square Properties

ExamplesThe midsegment of the trapezoid is ST. Find the value of x.8ST11x11 = (8 + x)22 = 8 + x14 = xTIMED practiceEach of the following seven review slides is timed.

Write your answers for the multiple choice questions on your paper. Briefly write your work/ answer and see how you do!!Review 1 A polygon with 7 sides is called a ____.A) nonagonB) dodecagonC) heptagonD) hexagonE) decagon

Review 2Find m