Today we reviewed our homework, pg. 63 1-16 all,18-22 evens, and pg. 65 1-9.
In this homework we mainly reviewed the postulates, definitions, properties or theorem. We also covered supplementary angles and complementary angles and how they can be used to find out if two angles are congruent or not.
Angle ABD and angle DBC are supplementary
Angle ABD and angle XYZ are supplementary
Or
/ABD + /DBC=180
/ABD+/XYZ=180
which after some substituting and such you can conclude that /DBC = /XYZ
We also talked about proofs and how to logically use definitions, theorems, properties and postulates to prove a statement.
We also reviewed verticle angles and how they are of equal measure.
like angle r is equal to angle q. and angle x is equal to angle y.
In the review sheets we were given in class today, they went over 2-4, 2-5 and 2-6.
2-4 Special pairs of angles
In this worksheet we reviewed mainly supplementary and complementary angles and how they are used to find the solution of x or y.
Ex. /C = 3y-5 /D = y+15 /D and /C are complementary.
/C + /D = 90
(3y – 5) + (y + 15) = 90
4y + 10 = 90
4y = 80
y = 20
You can do the same with supplementary angles.
Something minor that was in this worksheet is how a line segment or ray or line can bisect a angle or line and from that you can figure out what the angles are or what the distances are.
2-5 Perpendicular lines
In this worksheet we reviewed…well perpendicular lines.
We reviewed that perpendicular lines make 90 degree angles or right angles. And if the line goes through the other line then it might look something like this.
As shown all the angles are 90 degree angles.
2-6 Planning Proofs
In this review we went over proofs, proofs and… more proofs. We reviewed how to logically go through the problem by using postulates, definitions, theorems and properties to prove a statement.
When doing a Proof always start with the given or givens. Do this so you can have a foundation of what to go off of. Then after that look t what your supposed to prove and think through different ways of getting to that statement by using the theorems, postulates, definitions and properties and that’s really all to say.
Here is an example proof.
Notice he stated the givens first.
And that is all for today, until next time and GOOD LUCK ON THE TEST!!
The next scribe is………
KERRY!!!!!!!!…..jk
Its Katie Bwahahhahahaaaa
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