Block 19 was all about perpendiculars and finishing out our Construction Tool Belt for the unit. From this point forward, we synthesize multiple skills and definitions to construct many kinds of figures that use the same basic skills.
In class we warmed up with a sketch of path from a point to a fence and back, as well as a construction of 3 midsegments in a triangle. Notice that all 3 of our triangles (8-10 on p 162) use the same construction but we are looking for different segments or lines based on midpoint. Ms Bogart took a grade on HW #14 - 4 pts.
We went over the homework and the warm-up, using problem 8 from the homework to do a circumscribed circle in a triangle from the intersection of the perpendicular bisectors. We also noticed that the intersection point was on the triangle for right triangles, inside for acute, outside for obtuse.
Then we spent class time learning how to construct a perpendicular from a point to a line (that path to a fence), from a point on a line (good for right triangles), an altitude in a triangle, and constructing an angle bisector of an angle.
You have practice from class. Your "notes" are to look for the animations on mathopenref constructions.
You need to enter some things in your geometric truth. Conjecture 5 and 6 are on pp 156-7 of new book; or just glue your patty paper notes from last block into your GT. (1st period will have to copy from book). C-7 is on p 161. Use the sketch right above it. Blank should be "perpendicular segment".
Definition of altitude is on p 162, copy all 3 sketches. Here is a shortened definition that works: An altitude is a segment that connects a vertex of a triangle to a line containing the opposite side.
HW #15 - p 162:2,4-6. p 166: 4-5.
Next quiz is Thurs-Fri, Oct 10-11. Test is just after PSAT the following week.
In class we warmed up with a sketch of path from a point to a fence and back, as well as a construction of 3 midsegments in a triangle. Notice that all 3 of our triangles (8-10 on p 162) use the same construction but we are looking for different segments or lines based on midpoint. Ms Bogart took a grade on HW #14 - 4 pts.
We went over the homework and the warm-up, using problem 8 from the homework to do a circumscribed circle in a triangle from the intersection of the perpendicular bisectors. We also noticed that the intersection point was on the triangle for right triangles, inside for acute, outside for obtuse.
Then we spent class time learning how to construct a perpendicular from a point to a line (that path to a fence), from a point on a line (good for right triangles), an altitude in a triangle, and constructing an angle bisector of an angle.
You have practice from class. Your "notes" are to look for the animations on mathopenref constructions.
You need to enter some things in your geometric truth. Conjecture 5 and 6 are on pp 156-7 of new book; or just glue your patty paper notes from last block into your GT. (1st period will have to copy from book). C-7 is on p 161. Use the sketch right above it. Blank should be "perpendicular segment".
Definition of altitude is on p 162, copy all 3 sketches. Here is a shortened definition that works: An altitude is a segment that connects a vertex of a triangle to a line containing the opposite side.
HW #15 - p 162:2,4-6. p 166: 4-5.
Next quiz is Thurs-Fri, Oct 10-11. Test is just after PSAT the following week.