Grab a whiteboard, eraser, and marker We will go over stations 3 and 7

Powerpoint JeopardyProperties of Proving Lines

ParallelParallel and

Perpendicular Lines

Triangle-Angle Sum &

Exterior Angle.

Polyn-Angle Sum Theorem

10 10 10 10 10

20 20 20 20 20

30 30 30 30 30

40 40 40 40 40

50 50 50 50 50

Midsegments! Center of attention!

Graph it, find it! Theorems what?!

More Vocab?! JFK

10

20

50

30

40

T

R

Given TR is a midsegment in the triangle, find XZ.

Z

X

12 in.

E R

G W

If GW=2x+1 ft. and ER=4x-23 ft., find x and GW.

20 ft.

2xS

A Q.

W

E T

R

QW and AS are midsegments in ERT and QEW, respectively.Solve for x.

R

Z

F

M

L

K

W

X

If WZ is a midsegment of KRX, find RF and y

40y

23 ft.

R

Z

F

M

L

K

W

X

WZ, KR, and KM are midsegments of XKR, XFL, and FXL, respectfully.

40y

WZ=____

KM=____

TP=____

y=____

d=___

P

T

52 ft.

24 ft.

d

What is the center called?

C

Point C is called the …

H

J

Which point is the incenter?

a.) Which point is the circumcenter of the triangle?

b.) Is the circumcenter the center of the circle that is “inscribed in” or “circumscribed about” the triangle?

R

a.) What kind of point is R?

b.) What lines make up this point?

Write the ordered pair for the circumcenter of the triangle.

Write the coordinates for the center of the circle that is circumscribed about the triangle.

What are the coordinates for the centroid of the triangle (approximately)?

a.) Find the coordinates for the orthocenter.

Find the a.)orthocenter and b.)circumcenter

Decide if the following are possible side lengths of a triangle. Find the range of lengths for d.

a.) 6,8,18

b.) 7,3,1

c.) 4,4,3

d.) 6,7,?

A

C

DE

Z

X

R

T B

30 ft

.

T,C, and Z are midpoints. If TJ=18 ft., find BT.

J 27 ft.

• Arrange the following sides/angles from least to greatest.

44˚43˚

93˚

12 in.

CB

A

16 in.

14 in.

B

E

G

If V is the centroid of the triangle, find x, AD and VD.

A

DV

52 ft.

2x

C is the centroid, find AC and CF if AF=51 in.

C

A

F

The point of concurrency of the medians of a triangle is called the ______________.

The point of concurrency of the perpendicular bisectors in a triangle is called the _________________.

The center of a circle inscribed in a triangle is called the _____________. This is the point of concurrency of the ______________________.

A _______________ joins the midpoints of two sides of a triangle. It is parallel to the third side and ____of it’s length.

The orthocenter is the point of concurrency of the ________ of a triangle.

Who is the famous actor that recently passed away who is infamous for doing the voice of Genie in Disney’s “Aladdin”?

What is the largest living type of shark?

• If you ask for a $50,000 investment for 10% of your business, what are you valuing your business at?

During world war 2, the U.S. dropped an atomic bomb on what two Japanese cities, resulting in Japan’s surrender?

This musical instrument appears to look like a brass instrument but actually belongs to the woodwind family.