This document contains summaries of geometry concepts and homework problems from two different pages in a geometry textbook. It defines key terms like segment bisector, perpendicular bisector, median, midsegment, altitude, angle bisector, concurrent lines, incenter, circumcenter, orthocenter, centroid. It also summarizes how to construct parallel lines and solve specific homework problems from pages 36, 134 and 186 in the geometry book.

1. Geometry Warm Up: (not in book)
1. Find the endpoint for the segment that has (9, -3) as one
endpoint and (4, -5) as the midpoint.
2. What is the slope of a line containing points (3,4) and (-7, 12)

2. HW answers pg. 36
1. (3,4)
2. (-9, 1.5)
3. (5.5, 5.5)
4. (-6,44)
5. Yes, add 2 things and divide by 2 is how you get an average
6. (3, 2) and (6, 4) (dividing into 3rd's)
7. find the midpoint and then the midpoint of each half
8. figure 1 (5.5, 6.5)
figure 2 (16, 6.75)
figure 3 (29.75, 5.5)
midpoints are same for the diagonals

3. HW answers pg. 134
1. -2
2. -12/13
3. 9.7/4.6 or 97/46 or aprrox. 2.1
4. y=23
5. x=4
6. Any point that fits (3p, -4p) such as (6, -8), (9, -12),
(12, -16) etc.
7. approx. 66.7 mi/hr
8. skater 1 is 6 m/s
skater 2 is 2 m/s, so skater 1 is faster by 4m/s
9. 100% grade for a slope would be 1 (100/100), no
10. adobe house slope is 0 cause flat
-conn. steeper b/c snow needs to fall off not pile on.
Roof would cave in eventually

4. Chapter 3 Using Tools of Geometry (speed chapter)
D efine the following (words and diagrams) : Answers to gold boxes:
1. Difference between sketch, draw, construct C-5: equdistant
2. Segment bisector C-6: perpendicular bisector
3. Perpendicular Bisector C-7: perpendicular segment
4. Median of a triangle C-8: equidistant
5. Midsegment of a Triangle C-9: meet at a point
6. Equidistant (concurrent)
7. Altitude of a triangle C-10: are concurrent
8. Angle Bisector C-11: are concurrent
9. Concurrent C-12: is equidistant from the
10. Incenter verticies
11. Circumcenter C-13: is equidistant fom the
12. Orthocenter sides
13. Circumscribed C-14: are concurrent
14. Inscribed C-15: twice
15. Centroid C-16: centroid
16. Center of gravity
Know these answers:
1. What tools are needded to construct figures?
2. A line segment can be bisected by what 3 things?
3. How many medians and midsegments in three triangles?
4. Altitude is another name for what?
5. How would you construct parallel lines with patty paper?
6. What is the difference between the incenter, circumcenter, orthocenter,
centroid? What does each look like in a diagram? (USE OTHER FLIPCHART)
7. How to solve problems # 2-4 pg. 186
8. KNOW what the diagrams look like--incase you have to match them