AnswersGeometry - Semester 1 PathwaysIncenter and Circumcenter

Incenter and Circumcenter — Unit test Answers

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A regular pentagon is created using the bases of five congruent isosceles triangles, joined at a common vertex.

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A
54°
B
72°
C
108°
D
144°
22
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Triangle XYZ is isosceles. Angle Y measures a°.

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A
2a
B
StartFraction a Over 2 EndFraction
Option B
C
90 a
Option C
D
180 2a
Option D
23

If triangle RST is an acute triangle, then m∠S must be

A
less than 90°.
B
equal to 90°.
C
equal to 100°.
D
greater than 90° and less than 180°.
24

Triangle A B C is shown with its exterior angles. Line C B extends through point D. Line B C extends to form exterior angle that is 135 degrees. Angle C A B is 75 degrees.

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A
m∠ABC = 15°
B
m∠ABC = 45°
C
m∠ABC = 60°
D
m∠ABC = 75°
25

Which is the only center point that lies on the edge of a triangle?

A
the incenter of a right triangle
B
the incenter of an obtuse triangle
C
the circumcenter of a right triangle
D
the circumcenter of an obtuse triangle

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