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.

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Presentation transcript:

Geometry 11 December )Place binder and text on your desk. 2)CHECK your homework. 3)WARM UP: Proof Strip Page 304:

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

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. PQ RS 3h120° 3h = h = 60 divide both sides by 3 h = 20

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.

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

Summarizing PROPERTIES of Quadrilaterals Fill in the back of your pink sheet Quadrilateral KiteParallelogramTrapezoid RhombusRectangle Square Isosceles Trapezoid

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?