bisectors of triangles

Point D is the circumcenter of △ABC. Select any segment(s) congruent to  $\overline{AH}$  .

•  $\overline{AD}$  

•  $\overline{BD}$  

•  $\overline{BH}$  

•  $\overline{CH}$  

Point D is the circumcenter of △ABC. Select any segment(s) congruent to  $\overline{AD}$  .

•  $\overline{AB}$  

•  $\overline{BD}$  

•  $\overline{CD}$  

•  $\overline{AC}$  

•  $\overline{CB}$  

• x=67

• x=43

• x=55

• x=12

Solve for x.

• 5

• 2

• 4

• 1

Point P is the incenter of triangle PCA.

If PX is 5, what is PZ?

• 20

• 10

• 5

• 15

The figure shows a triangle with its three angle bisectors intersecting at point P. Find AP if PQ = 1 and AR = 2.

• 5

• 3

• $\sqrt{5}$

• $\sqrt{3}$

What type of center is point M?

• Circumcenter

• Incenter

• Centroid

• Orthocenter

[Perpendicular Bisectors and Circumcenter]

If GC is 11, what is AG?

• 11

• 9

• cannot determine

• 5.5

Y is the incenter of triangle STU. What is the length of VT?

• 25

• 10

• 29

• 24

The perpendicular bisector theorem states that if a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment.

• True

• False