4.3 Congruent Triangles

MA.912.G.4.4
MA.912.G.4.6

• to name and use corresponding parts of congruent polygons
• to prove triangles congruent using the definition of congruence
• (9-19) odd
• (28-30) all
• (44-47) all

#4.1 Classifying Triangles

MA.912.G.4.1
MA.912.G.8.6

• Aim 1: to identify & classify triangles by angle measures
• Aim 2: to identify & classify triangles by side measures
• (15-35) odd
• (36-37) all
• (43-45) odd
• (49-52) all
• (65-68) all

#4.2 Angles of Triangles

• Aim 1: to apply the Traingle Angle Sum Theorem
• Aim2 : to apply exterior angle theorem
• (13-29) odd
• (30-32) all
• (38-41) all

Intersection of Lines #3

Given triangle DOG with coordinates D(-12,-6) O(-10, 16) and G(-14,-10):

1. Find the equation of the line containing the perpendicular bisector of DO.
2. Find the equation of the line containing the perpendicular bisector of OG.
3. Find the equation of the line containing the perpendicular bisector of DG.
4. Find the intersection of numbers 1 and 2.
5. Find the equation of the line containing median DX.
6. Find the equation of the line containing median OY.
7. Find the equation of the line containing median GZ.
8. Find the intersection of 5 and 6.
9. Find the equation of the line containing altitude DA.
10. Find the equation of the line containing altitude OB.
11. Find the equation of the line containing altitude GC.
12. Find the intersection of 9 and 10.

Intersection of Lines #2

Given triangle DOG with coordinates D(2,-6) O(10, 8) and G(6,-4):

1. Find the equation of the line containing the perpendicular bisector of DO.
2. Find the equation of the line containing the perpendicular bisector of OG.
3. Find the equation of the line containing the perpendicular bisector of DG.
4. Find the intersection of numbers 1 and 2.
5. Find the equation of the line containing median DX.
6. Find the equation of the line containing median OY.
7. Find the equation of the line containing median GZ.
8. Find the intersection of 5 and 6.
9. Find the equation of the line containing altitude DA.
10. Find the equation of the line containing altitude OB.
11. Find the equation of the line containing altitude GC.
12. Find the intersection of 9 and 10.

Writing Equations of Perpendicular Bisectors & determining where they intersect in a Triangle

Given triangle KIM with coordinates K (0, 6) I(0, -6) and M (12, 0):

1. Write the equation of the perpendicular bisector of side KI. (hint: remember, to write the equation of any line, you MUST have two things....what are the 2 things? Yes, the slope of the line and a point ON the line!) (Hint #2: what do you know about the slopes of perpendicular lines?) (hint #3: what does the word "bisect" mean? Therefore, a point on the line would be the......? Yes! midpoint! How do you find the midpoint? avg of the x's and the avg of the y's)
2. Write the equation of the perpendicular bisector of side IM.
3. Write the equation of the perpendicular bisector of KM.
4. Where do the perpendicular bisectors of KI and IM intersect? (hint: solve a system of equations. Use the equations from problems 1 and 2)

Given triangle ABC with coordinates A (4, -2) B (8, -4) and C (12, 3):

1. Write the equation of the perpendicular bisector of side AB. (hint: remember, to write the equation of any line, you MUST have two things....what are the 2 things? Yes, the slope of the line and a point ON the line!) (Hint #2: what do you know about the slopes of perpendicular lines?) (hint #3: what does the word "bisect" mean?)
2. Write the equation of the perpendicular bisector of side AC.
3. Write the equation of the perpendicular bisector of BC.
4. Where do the perpendicular bisectors of AB and AC intersect? (hint: solve a system of equations. Use the equations from problems 1 and 2)

I suggest that you have a Barnes & Noble day sometime this weekend with some friends and get a study group going. 4 heads working together is better than 1!

Have a PG-13 weekend!

3.6 contd

MA.912.G.1.1
MA.912.G.1.2

• (16-20) even
• (21-29) odd
• construct the perpendicular bisector of a segment
• construct a perpendicular through a point NOT on the line
• construct a perpendicular through a point ON the line

3.6
MA.912.G.1.1
MA.912.G.1.2

• (9-19) odd
• (30)
• (35) copy it. you can't solve it yet until i go over it tomorrow.
• (43) copy it. you can't solve it yet until i go over it tomorrow.
• (48-51) all

What to know for tomorrow's 8 question quiz:

1. Construct the perpendicular bisector of a segment (fishy)
2. Construct the perpendicular of a segment through a point NOT on the line (yesterday's lesson)
3. Construct the perpendicular of a segment through a point ON the line (pg. 220)
4. write the equation of a line in slope-intercept form if it contains (3, 6) and (12, -2).
5. Write the equation of a line in standard form if it contains (-4, 5) and (7, 2).
6. similar to problems 16-21 in section 3.6
7. similar to problems 16-21 in section 3.6
8. similar to problems 16-21 in section 3.6
   

Reminder: tomorrow is early release!

• You will only have 5 minutes in between all classes! So don't be late to my class!
• 4th period ends at 12:10.
• Lunch will not be served until 12:30.
• Buses leave at 12:40.

3.6 Perpendiculars and Distance
MA.912.G.1.1
MA.912.G.1.2

• perform the Construction on pg. 220
• 1. Construct and label segment AB. Construct the perpendicular bisector of segment AB.
• 2. Construct and label segment QD. Construct perpendicular bisectors to divide segment QD into 4 congruent parts.
• 3. Construct a line segment so close to the edge of a piece of paper that you can only swing arcs on ONE side of the segment. Then construct the perpendicular bsiector of the segment.
• 4. Give yourself your own segment AB. Now give yourself another segment and label it CD. Now construct segment MN with length equal to the average length of segments AB and CD.

Q. Proofs (15 pts)

3.5 Proving Lines are Parallel
MA.912.G.1.2

• complete the following if-then statement:
• if two parallel lines are cut by a transversal, then.....
• (1-27) odd
• (33-35) all
• (37, 38)
• (44-47) all

3.4 Equations of Lines contd
MA.912.G.8.2

• (23-51) ALL (for both classes!)
• (55, 56)
• (60-63) all

#3.3 Slopes of Lines
MA.912.G.8.3

• (13-39) odd
• (40, 47, 49)
• (58-61) all

#3.4 Equations of Lines

MA.912.G.8.2

• (1-12) all

3.1
MA.912.G.1.3

• (13-35) odd
• (51-54) all

3.2

MA.912.G.1.3

• (11-19) odd
• (24-30) all
• (45)
• (47-50) all

Ch. 2 Study Guide

• pgs 161-162
• (29-43) all

2.8 again
MA.912.G.8.5

• (2-14) even

2.7

MA.912.G.8.5

• read examples
• (1, 3, 4)

2.8 Proving Angle Relationships (this is out of your book NOT a PDF file!)
MA.912.G.8.5

• (1-15) odd
• (6 & 32)
• (36-39) all

Have a PG-13 weekend!

Please check Pinnacle! If you have a problem with a grade, please shoot me an e-mail detailing your grievance. You'll know when I have read your e-mail as I will send you back a reply with the outcome of your grievance. Also, some of you still have NOT turned in my rules with signatures. If you have a zero for "my rules", you have not turned it in. Download a copy from my website, obtain the necessary signatures and turn it in on Monday for credit!

2.8 Proving Angle Relationships

MA.912.G.8.5

• (1-15) odd

#2.6 Algebraic Proof
MA.912.G.8.4
MA.912.G.8.5

• read pgs 134-136
• take your own notes
• be sure to copy vocab words
• must KNOW the Key Concept box on pg. 134 (the Properties of Real Numbers are self-explanatory so I don't feel like I need to explain them to you)
• make sure you actually READ the examples. Use them as models to complete your homework!
• (1-25) odd
• (37)
• (42-45) all

Happy Rosh Hashanah to all of my Jewish students!

Extra Spicy nth Term Problems PDF

• all
• nth Term quiz tomorrow!

Pre-Quiz nth Term PDF

• (1-15) all
• make sure you try these problems!
• call each other and work them out with a study group at Starbucks or Barnes and Noble
• get in the chat room and talk it out
• we will go over these problems on Tuesday
• have a PG-13 weekend!

Finding the Sum of a Series of Numbers PDF part 2

• (7-9) all
• (16-19) all
• (25-28) all

1.6 PDF

• (1-4) whatever we didn't do in class
• (6-16) all

Finding the Sum of a Series of Numbers PDF

• (1-6) all
• (10-15) all
• (19-24) all