AnswersOC - LCISD - Geometry BCentroid and Orthocenter

Incenter and Circumcenter Answers

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1
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Which statements must be true regarding the diagram?

A
BG ≅ AG
B
DG ≅ FG
C
DG ≅ BG
D
GE bisects ∠DEF
E
GA bisects ∠BAF
2
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insideonoutside

A
inside
B
on
C
outside
3

insideonoutside

A
inside
B
on
C
outside
4

insideonoutside

A
inside
B
on
C
outside
5

Which statements must be true regarding the diagram?

A
∠HDC ≅ ∠HDE
B
AB ≅ AF
C
AB ≅ BC
D
HC ≅ HE
E
HA ≅ HB
6

What is SU?

A
SU = 5
B
SU = 7
C
SU = 12
D
SU = 13
7

Find the value of x that would make P the incenter of the triangle.

Answers:
Blank 1:7
Blank 2:6
8

insideonoutside

A
inside
B
on
C
outside
9

What does point P represent with regard to the triangle?

A
the point of concurrency of the altitudes
B
the point of concurrency of the angle bisectors
C
the point of concurrency of the medians
D
the point of concurrency of the perpendicular bisectors
10

What is the value of n?

A
6
B
7
C
20
D
59
11

GX = [___]

Question illustration
Answer:

13

12

What is the length of Line segment H A ?

Question illustration
A
7 units
B
8 units
C
24 units
D
48 units
13

x = [___]

Question illustration
Answer:

7

14

Which statements must be true regarding the diagram?

A
∠HDC ≅ ∠HDE
B
AB ≅ AF
C
AB ≅ BC
D
HC ≅ HE
E
HA ≅ HB
15

What is SU?

A
SU = 5
B
SU = 7
C
SU = 12
D
SU = 13
16

Where do the points of concurrency of certain types of triangles lie? The circumcenter of an obtuse triangle lies the triangle. The incenter of a right triangle lies the triangle. The point of concurrency of the angle bisectors of an acute triangle lies the triangle. The point of concurrency that is equidistant from the vertices of a right triangle lies the triangle.

Answers:
Selection 1:outside
Selection 2:inside
Selection 3:inside
Selection 4:on
17

Which triangle shows the incenter at point A?

A
[Image: Point A is inside of a triangle. Lines are drawn f...]
Option A
B
[Image: Point A is inside of a triangle. Lines are drawn f...]
Option B
C
[Image: Point A is inside of a triangle. Lines are drawn f...]
Option C
D
[Image: Point A is inside of a triangle. Lines are drawn f...]
Option D
18

What does point P represent with regard to the triangle?

A
the point of concurrency of the altitudes
B
the point of concurrency of the angle bisectors
C
the point of concurrency of the medians
D
the point of concurrency of the perpendicular bisectors
19

What is the value of n?

A
6
B
7
C
20
D
59
20

If EX = 4z + 1, XF = 2z + 7, and mABC = 44°, find the following measures. GX = mABX = °

Answers:
Part 1:13
Part 2:22

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