Today's block included a 31 pt quiz over the beginning of the unit. If you were not here, please get the quiz made up by advisory on Thursday, no later. Preferably sooner.
We are approaching the end of new content in the unit. After today, the only new content is an algebra review of equations of parallel and perpendicular lines.
Today we:
practiced using the vertices of a quadrilateral in the coordinate plane to find slopes of sides and lengths of sides to determine the type of quadrilateral. EX: slopes of 2, 0, 2, 1/2 would be a trapezoid because two slopes are the same and make one pair of parallel sides, which is a trapezoid.
took a grade on HW #16.
Defined rhombus and square from sketches.
Proved that the diagonals of a rhombus bisect the angles of the rhombus, attached below. (c-51)
Discussion: since this is true, are the 4 triangles in a rhombus congruent, so the diagonals are also perpendicular bisectors of each other (C-50)
Discussion: since a square is a rhombus, a rectangle, and a parallelogram, its diagonals are congruent, perpendicular, and bisect each other (C-53).
Write up C-50-53 and HW #17 is pp 292-4: 1-16, 25.
The last 30 minutes of class were used to take the quiz mentioned at the beginning of the post.
We are approaching the end of new content in the unit. After today, the only new content is an algebra review of equations of parallel and perpendicular lines.
Today we:
practiced using the vertices of a quadrilateral in the coordinate plane to find slopes of sides and lengths of sides to determine the type of quadrilateral. EX: slopes of 2, 0, 2, 1/2 would be a trapezoid because two slopes are the same and make one pair of parallel sides, which is a trapezoid.
took a grade on HW #16.
Defined rhombus and square from sketches.
Proved that the diagonals of a rhombus bisect the angles of the rhombus, attached below. (c-51)
Discussion: since this is true, are the 4 triangles in a rhombus congruent, so the diagonals are also perpendicular bisectors of each other (C-50)
Discussion: since a square is a rhombus, a rectangle, and a parallelogram, its diagonals are congruent, perpendicular, and bisect each other (C-53).
Write up C-50-53 and HW #17 is pp 292-4: 1-16, 25.
The last 30 minutes of class were used to take the quiz mentioned at the beginning of the post.
rhombus_angle_bisector_proof_definitions.pdf |