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WorksheetsUnit 6 Part 2 Test Review
Total questions: 36
Worksheet time: 9hrs 0mins
Which type of triangle would have its orthocenter on the triangle?
right
obtuse
scalene
equilateral
Which is the point of intersection of the medians of a triangle?
orthocenter
centroid
incenter
circumcenter
Three or more lines that contain the same point are called:
parallel
perpendicular
current
concurrent
The incenter of a triangle can be located by finding the intersection of the:
altitudes
medians
perpendicular bisectors of the three sides
angle bisectors
In the diagram of ΔABC below, Jose found centroid P by constructing the three medians. He measured and found it to be 6 inches.
If PF = x, which equation can be used to find x?
x + x = 6
2x + x = 6
3x + 2x = 6
x + ⅔ x = 6
Which of the following points in the diagram below is the incenter of triangle ABC?
D
O
E
C
Find the coordinates of the center of the circle and the measure of the radius:
(x + 1)2 + y2 = 121
C: (1, 1), r =11
C: (-1, 0), r = 11
C: (1, 0), r =121
C: (1, 0), r = 121
Find the standard form, center, and radius of the following circle:
x2 + 8y + y2 -6y -2 = 0
(x + 4)2 + (y -3)2 = 27
(x + 4)2 + (y -3)2 = 2
(x + 4)2 + (y + 3)2 = 2
(x + 4)2 + (y + 3)2 = 27
Given that point S is the incenter of right triangle PQR and angle RQS is 30°, what are the measures of angles RSQ and RPQ?
<RSQ = 105o, <RPQ = 30o
<RSQ = 30o, <RPQ = 105o
<RSQ = 30o, <RPQ = 15o
<RSQ = 60o, <RPQ = 30o
If circle O is circumscribed about triangle ABC, point O is what point of the triangle?
orthocenter
circumcenter
incenter
centroid
Which point is the intersection of the altitudes of a triangle?
orthocenter
circumcenter
incenter
centroid
Which of the four centers always remains on or inside a triangle?
incenter only
incenter and centroid
orthocenter and incenter
circumcenter only
The circumcenter of a triangle can be located by finding the intersection of the:
altitudes
medians
perpendicular bisectors of the three sides
angle bisectors
Identify a median of triangle ABC
B̅F̅
G̅H̅
A̅D̅
C̅E̅
none of these
Identify an altitude of triangle ABC.
C̅E̅
G̅H̅
B̅F̅
A̅D̅
C̅B̅
In triangle ABC, if m<ABF = 39o and B̅F̅ is an angle bisector, find m<BCE.
90o
45o
39o
51o
12o
The perpendicular bisector of a triangle is never the same as the angle bisector.
True
False
The angle bisectors of a scalene triangle intersect outside the triangle.
True
False
The perpendicular bisectors of a right triangle intersect on the triangle.
True
False
To find the point that is equidistant from the sides, you need to find the circumcenter.
True
False
The median starts at a vertex and goes to the opposite midpoint.
True
False
The ______________________ is ⅔ the distance of the median from the vertex.
centroid
orthocenter
incenter
circumcenter
The orthocenter is located outside the triangle in a(n) __________________ triangle.
right
acute
obtuse
scalene
In a _________________ triangle, altitudes are legs.
obtuse
acute
scalene
right
To find the point that is equidistant from the vertices of a triangle, we need to draw or construct the three _______________ of a triangle.
altitudes
medians
angle bisectors
perpendicular bisectors
Find the degree of arc NP
120o
240o
80o
90o
Find the measure of chord KM.
12
24
16
6
Suppose a chord is 20 inches long and is 24 inches from the center of the circle. Find the length of the radius.
26
24
22
21.82
Suppose a chord of a circle is 5 inches from the center and is 24 inches long. Find the length of the radius.
12
13
5
26
Find m<2.
67
134
22
77
Find the value of x.
70o
140o
35o
50o
Find the value of x.
30
60
40
35
Find m<1.
140o
120o
160o
80o
Find m<3.
25.5o
51o
52o
103o
Find m<5.
215o
70o
35o
72.5o
Find the value of x.
25
15
13.23
35
