And we are on to the new unit: polygons and quadrilaterals. We will be starting with angle measures of interior and exterior angles of polygons. Then we will go on to definitions and properties of trapezoids, kites, isosceles trapezoids, parallelograms, rhombii, rectangles, and squares. Since that includes words like parallel, perpendicular, and midpoint, we will also be doing slope, distance, and midpoint formulas for quadrilaterals in the coordinate plane. We will also re-visit triangle proofs since quadrilaterals are made up of 2 or 4 triangles. So it is the biggest unit of the semester! A 90 pt test right before spring break on March 18-19 (Wed-Thurs).
Today in class, we investigated the sum of the interior angles of polygons (investigation attached) and discovered that the sum of the interior angles of a polygon with "n" sides is
180(n-2) degrees. And problem 2 that we did in class led us to the measure of one angle in an equiangular n-gon: 180(n-2)/n
0B also learned about exterior angles in any polygon.
You should be able to write up Conjectures from our work. In the new textbook, the conjecture numbers 29, 31 from p 263 need to be entered in Geometric Truth. There is a sketch above #31 that is good. The decagon has 10 triangles (12-2), so 10 times 180 = 1800 degrees.
For A day, if you did not finish the in-class work, it is in the new textbook on p 264: 1-14, 20. Get it done before the next class. Show how you got your answer (don't just write the answer... show enough so that you will know why if you missed it). For B day, you did p 264: 1-8, and p 270:5-10. Finish for HW what you did not finish in class.
0B should also write up C-32 on p 268: the sum of a set of exterior angles of any polygon is 360 degrees.
Today in class, we investigated the sum of the interior angles of polygons (investigation attached) and discovered that the sum of the interior angles of a polygon with "n" sides is
180(n-2) degrees. And problem 2 that we did in class led us to the measure of one angle in an equiangular n-gon: 180(n-2)/n
0B also learned about exterior angles in any polygon.
You should be able to write up Conjectures from our work. In the new textbook, the conjecture numbers 29, 31 from p 263 need to be entered in Geometric Truth. There is a sketch above #31 that is good. The decagon has 10 triangles (12-2), so 10 times 180 = 1800 degrees.
For A day, if you did not finish the in-class work, it is in the new textbook on p 264: 1-14, 20. Get it done before the next class. Show how you got your answer (don't just write the answer... show enough so that you will know why if you missed it). For B day, you did p 264: 1-8, and p 270:5-10. Finish for HW what you did not finish in class.
0B should also write up C-32 on p 268: the sum of a set of exterior angles of any polygon is 360 degrees.
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