Ope
ner!!
!
With graduation just a few months away, Ken is beginning to build
a special GBN spirited diploma case for his sister. He wants the
ratio of the length to the width to be 3:1 and the diagonal to be 12
cm. How wide should the frame be? Round to the nearest tenth
of a centimeter.
1

We will count off by 8's. You will put the example matching your
group number onto dry erase boards. Since you have already
completed the packet, you will have no more than 7 minutes to do
this. When you finish putting the problem on the board, check your
other answers with your group members.
Group One: Example 1 A & B Group Five: Example 5
Group Two: Example 2 A & B Group Six: Example 6 A, B & C
Group Three: Example 3 Group Seven: Example 7
Group Four: Example 4 B Group Eight: Example 8
2

5.7 The Pythagorean Theorem
3

What are the three key features of the midsegment of a trapezoid?
1.
2.
3.
4

5.4 The Triangle Midsegment Theorem B
D E
A F C
Four Keys to Triangle Midsegments:
1.
2.
3.
4.
5

Example One:
The vertices of XYZ are X (‐1,8), Y (9,2), and Z (3, ‐4). M and N are the
midpoints XZ and YZ. Show that MN || XY and MN = ½ XY.
6

Example Two:
C
Find each measure.
B D
o
26
6.2
A F E
17
A. BD B. m / CBD
7

Example Three:
Several years down the road, you decide to build a lake house in Lake Geneva.
In this A‐frame house, the width of the first floor is 46ft. The second floor lies
along the midsegment connecting the two sides of the house. How wide is the
second floor?
8

Exi
t S
lip!!
Explain why XY is NOT a midsegment of the triangle. !
6 6
X > Y
5 5
>
9

Homework:
Pg.324 # 1, 10‐12, 14‐16, 20, 22‐24, 39, 45
Pg. 353 # 15‐19, 22‐25, 29‐31, 34, 40‐41 & 50
10