Block 15, which will actually be Block 16 for B day classes on Monday, Feb 26, is all about mastering polygon sum and discovering and proving properties of kites and trapezoids as well as their definitions.
We began with making up definitions of kite and trapezoid from sketches. Our warm-up was a 4 problem review of polygon sum.
We then checked our answers to warm-up and homework and came up with definitions for kite and trapezoid to record in our Geometric Truth.
Then we did a fill-in-the-blank proof in our notes about the angles of kites: non-vertex angles are congruent (C-36 on p 267) and "vertex angles of a kite are bisected by a diagonal" - c-39 on p 267).
Then we did "verbal proofs" of C-37 and C-38: diagonals of a kite are perpendicular; the diagonal connecting the vertex angles is a perpendicular bisector of the other diagonal.
Quick class discussion over C-39-41: first, what is an isosceles trapezoid? Then, for all trapezoids, consecutive angles between bases are supplementary; pairs of base angles of an isosceles trapezoid are congruent; diagonals of an isosceles trapezoid are congruent.
Some notes attached.
HW #15 (#16 for B day) - p 269-71: 1-6, 15.
1st and 2nd viewed their tests.
We began with making up definitions of kite and trapezoid from sketches. Our warm-up was a 4 problem review of polygon sum.
We then checked our answers to warm-up and homework and came up with definitions for kite and trapezoid to record in our Geometric Truth.
Then we did a fill-in-the-blank proof in our notes about the angles of kites: non-vertex angles are congruent (C-36 on p 267) and "vertex angles of a kite are bisected by a diagonal" - c-39 on p 267).
Then we did "verbal proofs" of C-37 and C-38: diagonals of a kite are perpendicular; the diagonal connecting the vertex angles is a perpendicular bisector of the other diagonal.
Quick class discussion over C-39-41: first, what is an isosceles trapezoid? Then, for all trapezoids, consecutive angles between bases are supplementary; pairs of base angles of an isosceles trapezoid are congruent; diagonals of an isosceles trapezoid are congruent.
Some notes attached.
HW #15 (#16 for B day) - p 269-71: 1-6, 15.
1st and 2nd viewed their tests.
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