Upcoming Unit Test - Wed-Thurs, March 18-19, 90 pts
Today we finished up our conjectures for the unit:
C-47 - Diagonals of a rhombus bisect the angles of the rhombus.
C-46 - Diagonals of a rhombus are perpendicular bisectors of each other.
C-48 - Diagonals of a rectangle are congruent.
C-49 - Diagonals of a square are congruent perpendicular bisectors of each other, and also angle bisectors.
We had a warm-up in class to practice # of sides, sum of angles, sum of exterior angles, one angle in equiangular, one exterior angle in equiangular, given the name of the polygon (EX - hexagon) We also practiced finding slope of the diagonals of a quadrilateral and using that to determine the type of quadrilateral. There was also a worksheet over kites and trapezoids for which we did 4 problems (attached below... we did 2-4 on front, 31 on the back).
We went over homework #14 (after taking a 4 pt grade).
Then we looked at fill in the blank proofs of two of the new properties listed above. We will do three of these as a warm-up next time we meet. In 2nd and 3rd we took notes over the conjectures listed above.
We took a quiz today over 5.1-3 for 31 pts.
The rest of the unit will be: practicing proofs of our conjectures, using slope, distance, and midpoint formulas to then determine (prove) the type of quadrilateral for the vertices given, AND "working backwards": I give you properties, you tell me what type of quadrilateral it MUST be or COULD be.
EXAMPLE: I'm a quadrilateral and my diagonals bisect each other.
I MUST be (most specifically am) a parallelogram (C-44). I COULD also be a rectangle, rhombus or square since they are all parallelograms.
IF YOU MISSED THE QUIZ, PLEASE COME DURING A&E ON THURSDAY TO MAKE IT UP!
Attachment: the new conjectures and the homework assignment. HW #15 - pp 292-3: 1-16, 23. On 14-16 you can count rise/run instead of using slope formula.
Today we finished up our conjectures for the unit:
C-47 - Diagonals of a rhombus bisect the angles of the rhombus.
C-46 - Diagonals of a rhombus are perpendicular bisectors of each other.
C-48 - Diagonals of a rectangle are congruent.
C-49 - Diagonals of a square are congruent perpendicular bisectors of each other, and also angle bisectors.
We had a warm-up in class to practice # of sides, sum of angles, sum of exterior angles, one angle in equiangular, one exterior angle in equiangular, given the name of the polygon (EX - hexagon) We also practiced finding slope of the diagonals of a quadrilateral and using that to determine the type of quadrilateral. There was also a worksheet over kites and trapezoids for which we did 4 problems (attached below... we did 2-4 on front, 31 on the back).
We went over homework #14 (after taking a 4 pt grade).
Then we looked at fill in the blank proofs of two of the new properties listed above. We will do three of these as a warm-up next time we meet. In 2nd and 3rd we took notes over the conjectures listed above.
We took a quiz today over 5.1-3 for 31 pts.
The rest of the unit will be: practicing proofs of our conjectures, using slope, distance, and midpoint formulas to then determine (prove) the type of quadrilateral for the vertices given, AND "working backwards": I give you properties, you tell me what type of quadrilateral it MUST be or COULD be.
EXAMPLE: I'm a quadrilateral and my diagonals bisect each other.
I MUST be (most specifically am) a parallelogram (C-44). I COULD also be a rectangle, rhombus or square since they are all parallelograms.
IF YOU MISSED THE QUIZ, PLEASE COME DURING A&E ON THURSDAY TO MAKE IT UP!
Attachment: the new conjectures and the homework assignment. HW #15 - pp 292-3: 1-16, 23. On 14-16 you can count rise/run instead of using slope formula.
conjectures_notes_and_hw_5.5.pdf |