Please be in and participate in class everyday during this unit. My website is not sufficient for absences. Spend some time with someone else who was here if at all possible. Remember you need a compass, a straightedge, and the hard copy of the textbook to do your homework.
Today Pre-AP Geometry was all about perpendicular bisectors of segments. We warmed up with p 59:12 from new textbook - find 5 points that are equidistant from endpoints R and L. Graph them and connect. Does your connecting line pass through the midpoint of RL? Is every point on your line equidistant from R and L? Is the line the perpendicular bisector of RL? Then we wrote up definitions and sketches from our textbook for: (p 155) segment bisector and perpendicular bisector, and (p 157) median and midsegment. The definition of perpendicular bisector: a line, segment, or ray that passes through the midpoint of a segment at a right angle. These should all be in your geometric truth.
A grade was taken over HW #13 - 4 pts
We went over the homework. Demonstrated. Questions asked.
W went back to previous block's recreation of Euclid's Proposition 1 (construction of equilateral triangle). Connect the two arc intersection points. Is this the perpendicular bisector of AB?
In all classes but 1st: we did a patty paper construction of a perpendicular bisector to discover what we have realized throughout the class: C-5: Every point on the perpendicular bisector of a segment is equidistant from the endpoints of the segment. AND CONVERSELY: C-6: If a point is equidistant from the endpoints of a segment, then it is on the perpendicular bisector of the segment.
This gets us to the new construction: can we do the equilateral triangle construction only set the compass to any distance that is more than half of the segment? Swing compass from both endpoints in both directions and we will locate two points on the perpendicular bisector. Connect. See demonstrations on mathopenref constructions. Then we used this construction to find midpoints of segments, even when they are in triangles. Connect midpoint of a side to the opposite vertex and you have a median in a triangle. All of these animations can be viewed on mathopenref.
HW #14: p 158-9: 1-5, 8-9, 18-23. Due next block. Quiz will be end of next week.
Scroll down to previous block's post to link to mathopenref.
OR find it in "Look for Resources" tab.
Today Pre-AP Geometry was all about perpendicular bisectors of segments. We warmed up with p 59:12 from new textbook - find 5 points that are equidistant from endpoints R and L. Graph them and connect. Does your connecting line pass through the midpoint of RL? Is every point on your line equidistant from R and L? Is the line the perpendicular bisector of RL? Then we wrote up definitions and sketches from our textbook for: (p 155) segment bisector and perpendicular bisector, and (p 157) median and midsegment. The definition of perpendicular bisector: a line, segment, or ray that passes through the midpoint of a segment at a right angle. These should all be in your geometric truth.
A grade was taken over HW #13 - 4 pts
We went over the homework. Demonstrated. Questions asked.
W went back to previous block's recreation of Euclid's Proposition 1 (construction of equilateral triangle). Connect the two arc intersection points. Is this the perpendicular bisector of AB?
In all classes but 1st: we did a patty paper construction of a perpendicular bisector to discover what we have realized throughout the class: C-5: Every point on the perpendicular bisector of a segment is equidistant from the endpoints of the segment. AND CONVERSELY: C-6: If a point is equidistant from the endpoints of a segment, then it is on the perpendicular bisector of the segment.
This gets us to the new construction: can we do the equilateral triangle construction only set the compass to any distance that is more than half of the segment? Swing compass from both endpoints in both directions and we will locate two points on the perpendicular bisector. Connect. See demonstrations on mathopenref constructions. Then we used this construction to find midpoints of segments, even when they are in triangles. Connect midpoint of a side to the opposite vertex and you have a median in a triangle. All of these animations can be viewed on mathopenref.
HW #14: p 158-9: 1-5, 8-9, 18-23. Due next block. Quiz will be end of next week.
Scroll down to previous block's post to link to mathopenref.
OR find it in "Look for Resources" tab.