Geometry 11 December 2012 1) Place binder and text on your desk. 2) CHECK your homework. 3) WARM UP: Proof Strip Page 304: 10 - 12 Triangle Midsegment The segment connecting the midpoints of two sides of a triangle is parallel to the 3rd side and X is half as long. 1 YZ || RT and RT YZ 2 Z T R Y objective Students will explore and apply polygon properties. Students will work collaboratively to do investigations, write conjectures and apply properties to solve problems. due TODAY 5.4: 2, 3, 4, 7 5.5: 1, 2, 3, 5, 6 5.6: 11, 12, 13 TEST CORRECTIONS for NOV. 20 test TEST- proofs, polygon properties Wednesday/ Thursday Semester Review Packet due on your final exam day P2- Monday, December 17 P3- Tuesday, December 18 P5 and P6- Wednesday, December 19 Kite Properties Isosceles Trapezoids if a quadrilateral is a parallelogram opposite sides are parallel (DEFINITION) opposite sides are congruent opposite angles are congruent consecutive angles are supplementary diagonals bisect each other Using Algebra with Parallelograms • PQRS is a parallelogram. Find the value of h. 3h + 120 = 180 - 120 -120 P 3h = 60 divide both sides by 3 h = 20 3h S Q 120° R Definitions…..finish Rectangle- an equiangular parallelogram Rhombus- an equilateral parallelogram Square- an equilateral, equiangular parallelogram Rectangle Properties All properties of a parallelogram AND: • Diagonals are congruent • All angles are congruent (90⁰) 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. Square Properties Squares share all properties of a parallelogram AND rectangles AND rhombus CAN YOU NAME all the properties? Summarizing PROPERTIES of Quadrilaterals Fill in the back of your pink sheet Quadrilateral Kite Parallelogram Trapezoid Isosceles Trapezoid Rhombus Rectangle Square practice • Do problems on your Semester 1 Review Sheet • Big Idea: Quadrilaterals • Big Idea: Proof • Big Idea: Triangle Properties debrief What do you need to study to be ready for the polygon properties/ proof test tomorrow? How will you study the properties so you will know them from memory? flip flops? 2 column practice? make up a practice quiz? other?