Geometry test on Chapter 5

When you draw the perpendicular bisectors of a triangle, they meet at a point called the _____________.

• Centroid

• Incenter

• Circumcenter

• Orthocenter

When you draw the angle bisectors of a triangle, they meet at a point that is called the _____________.

• Centroid

• Incenter

• Circumcenter

• Orthocenter

 $\overrightarrow{EJ}\$  bisects  $\angle DEF$ ,  $m\angle DEJ=5x+7$  ,  $m\angle JEF=8x-8$ .
Find x.

• 5

• 2

• 6

• 13

Find m∠JKM

• 6

• 48

• 20

• 38

Find the value of x.

• x = 4
• x = 12
• x = 16
• x = 2

Perpendicular Bisector

• The point at which three or more lines intersect

• Three or more lines that intersect at one point

• A segment, ray, or line that intersects a given segment at a 90 degree angle and passes through the given segment's midpoint

• The point of concurrency of the medians

The figure is an example of a(n) ...

• angle bisector
• perpendicular bisector
• median
• midsegment

The figure is an example of a(n) ...

• altitude 
• perpendicular bisector
• midsegment
• angle bisector

What does an angle bisector do?

• Makes two 90 degree angles

• splits a 90 degree angle in half

• splits an angle into two congruent angles

• splits 2 sides in half

Could you create a triangle with these side lengths?

15, 12, 9

• Yes

• No

• I don't know.