Special Segments of Triangles Review

Special Segments of Triangles Review

Multiple Choice

Which segment is a median?

• $\overline{AB}$

• $\overline{GB}$

• $\overline{DE}$

• $\overline{CF}$

Medians have the following properties:

• The start at the vertex; and

• intersect the midpoint of the opposite side.

Multiple Choice

Which segment is a altitude?

• $\overline{AB}$

• $\overline{GB}$

• $\overline{DE}$

• $\overline{CF}$

Altitudes have the following properties:

• The start at the vertex; and

• intersect the opposite side at a right angle.

Multiple Choice

Which segment is a perpendicular bisector?

• $\overline{AB}$

• $\overline{GB}$

• $\overline{DE}$

• $\overline{CF}$

Perpendicular bisectors have the following properties:

• They do not need to start at the vertex;

• They intersect the opposite side at a right angle; and

• They intersect the opposite side at the midpoint.

Open Ended

What is another way for us to say that the perpendicular bisectors and the medians intersect the opposite side at the midpoint?

Multiple Choice

Which segment is an angle bisector?

• $\overline{AB}$

• $\overline{GB}$

• $\overline{DE}$

• $\overline{CF}$

Angle Bisectors have the following properties;

• They start at the vertex; and

• They cut the vertex angle in half.

Multiple Choice

The centroid is where the ___________ of a triangle meet.

• medians

• altitudes

• perpendicular bisectors

• angle bisectors

Centroids

K is the centroid of triangle PQR.
Since K is the centroid, we know that

 $RM\ =\ QM$  . What other equiavalences do we know?

Multiple Choice

 $\overline{FK}$  is a median to triangle FGM. If GK = 6, how long is GM?

• 6

• 2.8

• 5.6

• 12

Multiple Choice

 $\overline{BD}$  is a median in triangle ABC. Solve for x.

• 7

• 14

• 29

• 58

Multiple Choice

 $\overrightarrow{MR}$  is an angle bisector in triangle NMP. If  $m\angle1\ =\ 2x\ +7$  and  $m\angle2\ =\ 3x\ -\ 13$  , how many degrees is the measure of angle 1?

• 20

• 47

• 40

• 94

Do you have any questions over what we have covered?