DownloadToday was our second block on the new unit: Polygons, quadrilateral properties, and applicable algebra.
Students wrote their own definitions for kite and trapezoid and we worked through them to discuss counterexamples to their accuracy, settling on a class best. Definitions were written for kite, trapezoid, and isosceles trapezoid. These need to be gotten from a friend if you were absent.
A quick warm-up over the new conjectures about sums of interior and exterior angles of polygons, single angles inside or outside of equiangular polygons was done. We share warm-ups and homework and "talked through" the angle searches justifying from conjectures.
Students did a fill-in-the blank proof of our first two kite properties (c-35 and 38 on p 267) and then a "talk-through" proof of C-36-37 about diagonals of a kite being perpendicular, with one of them bisecting the other.
Remember that the labeled sketches of kite and trapezoid on pp 266-267 are important.
We then walked through the properties of trapezoids (consecutive angles between bases are supplementary), and isosceles trapezoids: pairs of base angles are congruent and diagonals are congruent. Students need to write up C-35- 41 on pp 267-70 with good sketches from notes, warm-ups, textbook.
HW #15: p 270:1-9, p 263:15 (mini-proof of isosceles trapezoid diagonals), p 258:12-14.
Students viewed their tests. New seats are coming soon.
Also we will have a quiz next week over the first few sections of Chapter 5.
Download below: fill in the blank proof and information for C-35-38 on p 267.