Midsegments or Bisectors
Points of Concurrency
Indirect Proofs
Triangle Inequalities
Grabbag
100

AB is a midsegment parallel to CD. What is AB if CD = 36?

18

100

This is where perpendicular bisectors of a triangle meet.

what is a circumcenter?

100

How does an indirect proof differ from a statement?

It states the given statement is not true.

100

AB = 3.1, BC = 3, CA = 2.9, which angle is the smallest?

B

100

This year is when Fortnite came out.

When is 2017?

200

Two lines come out of a perpendicular bisector and form a triangle. One line is 52in., how long is the other one?

52in.

200

This is where altitudes of a triangle meet.

what is an orthocenter?

200

What is always added onto the beginning of an indirect proof?

Assume temporarily.

200

XY = x, YZ = x+1, ZX = x+2, list the angles from smallest to largest.

Z, X, Y

200

The American flag had this many stars in 1959.

What is 49.

300

AB is a midsegment parallel to CD. What is CD if AB = 58?

116

300

This is where medians of a triangle meet.

what is a centroid?

300

Which two statements contradict each other?

1. Angle A at most 90

2. Angle A is a right angle.

3. Angle A is an acute angle.

2 and 3

300

Can a triangle have the given sides of 8cm, 7cm, and 9cm? Why?

YES, 7+8=15, which is bigger than the biggest side.

300

The Upper Peninsula of Michigan is known for having mines of this mineral.

What is copper?

400

AB is a midsegment parallel to CD. What is x if AB = 2x-11 and CD = x+11?

x = 11

400

This point of concurrency is always inside the triangle.

What is the incenter or centroid?

400

Which two statements contradict each other?

1. FA is parallel to AC.

2. FA and AC are skew.

3. FA and AC do not intersect.

1 and 2

400

Can a triangle have the given sides of 34cm, 34cm, and 66cm?

Yes, 34+34=68 which is bigger than the biggest side.

400

This US president attended the University of Michigan.

Who is Gerald Ford?

500

Two lines come out of a perpendicular bisector and form a triangle. One line is 6x+32 and the other is 2x+56, what is x?

x = 6

500

This point of concurrency is always the right angle of a right triangle.

What is the orthocenter?

500

Which two statements contradict each other?

1. The orthocenter of △ABC is outside the triangle.

2. The median for △ABC is inside the triangle.

3. △ABC is an acute triangle.

1 and 3

500

Can a triangle have the given sides of 657ft, 312ft, and 969ft? Why?

NO!!!!!!!!!!!!!! 657+312=969, which is not bigger than the biggest side.

500

This American video game developer has created hit video games such as Halo and Marathon.

What is Bungie?