Show:
Vocab & Triangle Incenters
Midsegments
Bisectors
Identify the Segment
Inequalities in Triangles
100

What is a segment from a vertex to the midpoint of the opposite side?

Median

100

A midsegment is parallel to the third side and is what fraction of its length?

one-half

100

If a point is on a perpendicular bisector, it is equidistant from...?

The endpoints

100

What is a segment that cuts an angle into two equal angles?

angle bisector

100

The sum of two sides must be greater than...

The third side

200

What is the point of concurrency of the medians?

Centroid

200

A triangle has a side length of 30. The midsegment parallel to it is...?

15

200

If a point is on an angle bisector, it is equidistant from...?

The sides
200
What is a segment perpendicular to a side and passes through its midpoint

perpendicular bisector

200

order sides from smallest to largest if angles are 30, 50, 100.

opposite of 30

opposite of 50

opposite of 100

300

What is the point of concurrency of the angle bisectors?

Incenter

300

A midsegment is labeled x+5 and the parallel side is 3x-1. Solve for x.

x=11

300

Point C lies on the perpendicular bisector of segment AB. if CA = 12, find CB.

12

300

What is a segment from a vertex to midpoint of opposite side

Median

300

Can a triangle have sides 5, 8, 15?

No

400

What is the point of concurrency of the altitudes?

Circumcenter

400

A segment connects the midpoints of two sides of a triangle. The segment is labeled 3x-4 and the third side is labeled 5x+2. Find the length of the third side.

52

400

A point is on the angle bisector of an angle. The distances from the point to each side are labeled 2x+1 and 5x-11. Find x.

x=4

400

What is a segment perpendicular to a side from a vertex?

Altitude

400

Can a triangle have sides 10, 12, 20?

Yes

500

What is the point equidistant from the vertices of a triangle?

Circumcenter

500
In triangle ABC, Points D and E are midpoints of two sides. Segment DE is labeled 2x+1. The side parallel to it is 6x-5. The other two sides of the triangle are 13 and 17. Find the perimeter of triangle ABC

46

500
Distance from a point to a line is defined as...
The perpendicular segment
500
A segment goes from a vertex to the opposite side. It creates a right angle but does not hit the midpoint. What is this segment?

Altitude

500

If two sides of a triangle are 4 and 7, what is the range of what the third side could be?

3 < x < 11