Incenter and Cicumcenter – Flashcards

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question
What is the m
answer
m∠ABC = 127°
question
In triangle ABC, BG = 24 mm. What is the length of segment GE?
answer
12 mm
question
What is the measure of angle DFE?
answer
64
question
In triangle ABC, the segments drawn from the vertices intersect at point G. Segment FG measures 6 cm, and segment FC measures 18 cm. Which best explains whether point G can be the centroid?
answer
Point G can be the centroid because 12:6 equals 2:1.
question
Which type of triangle will always have a perpendicular bisector that is also an angle bisector?
answer
equilateral
question
Equilateral triangle ABC has a perimeter of 96 millimeters. A perpendicular bisector is drawn from angle A to side at point M. What is the length of ?
answer
16 mm
question
is the angle bisector of YEX and the perpendicular bisector of . is the angle bisector of YGZ and the perpendicular bisector of . is the angle bisector of ZFX and the perpendicular bisector of . Point A is the intersection of , , and .Which must be true?
answer
Point A is the center of the circle that passes through points E, F, and G and the center of the circle that passes through points X, Y, and Z.
question
Point Z is the circumcenter of ΔTUV. What is mZUB?
answer
32.8
question
The base angle of an isosceles triangle measures 54°. What is the measure of its vertex angle?
answer
72
question
Which new angle is created by extending one side of a triangle?
answer
an exterior angle
question
What should Jace do first to find the exact location of the center of the circular water bowl?
answer
He should bisect each of the angles at the vertices of the triangular table top.
question
What is the value of h?
answer
h=9
question
Which must be true?
answer
question
Which pair of angles is supplementary?
answer
∠RXZ and ∠YXZ
question
In triangle DFE, KJ = 50 units. What is the length of segment EK?
answer
100 mm
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