Geometry 5-1 to 5-3 Review
Name
Date
Perpendicular Bisectors
Angle Bisectors
P is the Incenter
PZ = PX = PY
Point of Concurrency = ________________________
Point of Concurrency = ______________________
Circumcenter is equidistant from the _____________
Incenter is equidistant from the ____________
Medians
Altitudes
O is the centroid
CO = 2/3(CD)
AO = 2/3(AR)
BO = 2/3(BF)
Point of Concurrency = _____________________________
Centroid is __________ the distance from the
vertex to the midpoint of the opposite side
Point of Concurrency = _____________________________
1) Draw a large scalene ⊿𝐴𝐵𝐶. Carefully draw the altitude, angle bisector and median from angle A.
Are they the same or different?
2) Draw a large isosceles ⊿𝐴𝐵𝐶 with vertex angle A. Draw the altitude, angle bisector and median
from angle A. Are they the same or different?
3) Draw a triangle that the perpendicular bisector of each side is also a median, altitude and angle
bisector?
4) Draw, if possible, a triangle in which the perpendicular bisectors of the sides intersect in the
following point:
a. point inside the triangle
b. point outside the triangle
c. point on the triangle
5) Complete with acute, right or obtuse.
a) If a triangle is _______________ then the altitudes intersect outside the triangle.
b) If a triangle is _______________ then the altitudes intersect inside the triangle.
c) If a triangle is _______________ then the altitudes intersect on the triangle.
Find each measure.
6)
7)
8)
9)
10)
11)
13)
12) BG = ___________
13) AG = ___________________
̅̅̅̅ __________
14) the distance from S to 𝑃𝑅
15) 𝑚∠𝑆𝑄𝑃 = _____________
16) DM = _________
17) MJ = _________
18) GF = __________
19) GM = _________
The medians of the triangle are shown.
20) Find the values of x and y.
21) If AB = 6, then BP = _______ and AP = _________
22) If AB = 7, then BP = _______ and AP = _________
The medians of the triangle are shown.
23) If YD = 6, then DC = ____________
25) If XB = 5, then DB = _____________
24) If DZ = 8, then AZ = ________________
26) If AD = 4, then DZ = __________ and AZ = ________________