## Thursday, November 27, 2008

### Thursday's Class

Today Mr. K went over Quadrilateral Investigation. As Casey said on her scribe post, the properties on the chart : Opposite side are equal, all sides are equal, opposite angle are right angles, consecutive angels are supplementary, diagonals are congruent, diagonals bisect each other, diagonals bisect opposite angles and diagonals are perpendicular to each other.

I hope you don't mind that I'm using your pictures, Casey |D

A parallelogram:
• opposite sides are equal
• consecutive angles are supplementary
• diagonals are congruent
• diagonals bisect each other

A trapezoid:
• opposite angles are right angles

A rectangle:
• opposite sides are equal
• opposite angles are right angles
• consecutive angles are supplementary
• diagonals are congruent
• diagonals bisect each other
A rhombus
• opposite sides are equal
• consecutive angles are supplementary
• diagonals bisect each other
• diagonals bisect opposite angles
• diagonals are perpendicular to each other

A right trapezoid
• consecutive angles are supplementary

A square
• opposite side are equal
• all sides are equal
• opposite angle are right angles
• consecutive angels are supplementary
• diagonals are congruent
• diagonals bisect each other
• diagonals bisect opposite angles
• diagonals are perpendicular to each other
Note that: A square is a special case of a rectangle, as it has four right angles and equal parallel side. It is also a special case of trapezoid, rhombus and parallelogram.

Transversal line is a line that passes through two or more lines at different points.

Later on in the class, Mr. K put us into groups to work on Problem Solving: Geometry 0 & 1 or The Proof is in the Parallelogram. We have to prove that ABRM is a parallelogram

First you have to look at the same sides:

Angle A = Angle R
Angle B = Angle M

Angle A + Angle B + Angle R + Angle M = 360°. That's because Angle A has 90°, angle B has 90°, angle R has 90° and angle M has 90°

2 Angle A + 2 Angle M = 360°. Why ? Because of Angle A = Angle R & Angle M = Angle B.
It's also similar to 2 Angle A + 2 Angle B = 360°
That is why, ABRM is a parallelogram AB // BR and AM // BR

Hopefully, I told you guys everything. I'm really sorry because I'm really bad at explaining stuff, I really tried my best. I'm really sorry that I posted my scribe late. Please, if you didn't understand anything, PLEASE ASK SOMEONE you know that can help you or Mr. K, himself.

MONDAY'S SCRIBE WILL BE .... MARKKKK !!!