Our 18th block was devoted to kites and trapezoids and their properties. We defined "isosceles trapezoid" from p 277 and copied a sketch from the board with bases and pair of base angles marked. (Get from a neighbor.) We also improved our sketch of "kite" by marking non-vertex and vertex angles.
We did a fill-in-the-blank proof on the screen for:
C-34 - Non-vertex angles of a kite are congruent.
and C-37 - The vertex angles of a kite are bisected by a diagonal of the kite.
We went over HW #14. There will be a quiz over 5.1-3 on Mon-Tues next week. We shared the proof and good sketches, and then did another "justify" type proof of the other two kite properties (C-35-36). The diagonals of a kite are perpendicular. AND The diagonal connecting the vertex angles of a kite is the perpendicular bisector of the other diagonal.
We then investigated, discussed, took notes over the properties of trapezoids and isosceles trapezoids. (C-40-42, and 52 on p 306). Consecutive angles between bases are supplementary for all trapezoids. For isosceles trapezoids: pairs of base angles are congruent; diagonals are congruent. For any trapezoid: the midsegment connects the midpoints of the non-parallel sides. It is parallel to the bases and its length is the average of the bases.
HW #15 - p 307:6-7, p 278:1-8,11-3,20.
Will post copies of geometric truth later. This should be enough info to get you there. C-34 is on p 275. Keep going from there.
Contest is coming up Saturday. Info attached here:
We did a fill-in-the-blank proof on the screen for:
C-34 - Non-vertex angles of a kite are congruent.
and C-37 - The vertex angles of a kite are bisected by a diagonal of the kite.
We went over HW #14. There will be a quiz over 5.1-3 on Mon-Tues next week. We shared the proof and good sketches, and then did another "justify" type proof of the other two kite properties (C-35-36). The diagonals of a kite are perpendicular. AND The diagonal connecting the vertex angles of a kite is the perpendicular bisector of the other diagonal.
We then investigated, discussed, took notes over the properties of trapezoids and isosceles trapezoids. (C-40-42, and 52 on p 306). Consecutive angles between bases are supplementary for all trapezoids. For isosceles trapezoids: pairs of base angles are congruent; diagonals are congruent. For any trapezoid: the midsegment connects the midpoints of the non-parallel sides. It is parallel to the bases and its length is the average of the bases.
HW #15 - p 307:6-7, p 278:1-8,11-3,20.
Will post copies of geometric truth later. This should be enough info to get you there. C-34 is on p 275. Keep going from there.
Contest is coming up Saturday. Info attached here:
actm_nwa_regional_contest_2019_info.docx |
actm_campus_map__1_.docx |