AnswersMASTER COURSE GeometryTriangles

Practice Test Answers

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1
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Which type of triangle will always have a perpendicular bisector that is also an angle bisector?

A
right
B
scalene
C
obtuse
D
equilateral
2
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Triangle ABC has the angle measures shown. m angle cap A is equal to 2 x degrees m angle cap b is equal to 5 x degrees m angle cap c is equal to 11 x degrees Which statement is true about the angles?

A
m angle cap A is equal to 20 degrees
B
m angle cap b is equal to 60 degrees
C
m angle cap A plus m angle cap c is equal to 120 degrees
D
angle cap A and angle cap b are complementary
3

The base angle of an isosceles triangle measures 54 degrees What is the measure of its vertex angle?

A
54 degrees
B
36 degrees
C
27 degrees
D
72 degrees
4

Which diagram shows possible angle measures of a triangle?

A
Image with description A triangle has angles labeled 30 degrees at the lower-left vertex, 120 degrees at the top vertex, and 20 degrees at the lower-right vertex.
B
Image with description A triangle has angles labeled 35 degrees at the lower-left vertex, 120 degrees at the top vertex, and 35 degrees at the lower-right vertex.
C
Image with description A triangle has angles labeled 35 degrees at the lower-left vertex, 115 degrees at the top vertex, and 25 degrees at the lower-right vertex.
D
Image with description A triangle has angles labeled 32 degrees at the lower-left vertex, 115 degrees at the top vertex, and 33 degrees at the lower-right vertex.
5

In triangle ABC , the segments drawn from the vertices intersect at point cap g Segment FG measures 6 cm, and segment FC measures 18 cm. Which best explains whether point cap g can be the centroid?

A
Point cap g can be the centroid because FC is longer than FG .
B
Point cap g cannot be the centroid because FG should be longer than CG .
C
Point cap g cannot be the centroid because ratio of 18 to 6 does not equal ratio of 2 to 1 .
D
Point cap g can be the centroid because ratio of 12 to 6 equals ratio of 2 to 1 .
6

Which new angle is created by extending one side of a triangle?

A
an adjacent interior angle
B
a remote interior angle
C
a complementary angle
D
an exterior angle
7

In the diagram, which must be true for point cap p to be the centroid of the triangle?

A
JL is equal to LK is equal to KJ
B
JM is equal to ML , LO is equal to OK , and KN is equal to NJ .
C
line segment LN is a perpendicular bisector of line segment JK , line segment JO is a perpendicular bisector of line segment LK , and line segment MK is a perpendicular bisector of line segment JL .
D
line segment LN perpendicular to line segment JK , line segment JO perpendicular to line segment LK , and line segment JL perpendicular to line segment MK .
8

Which pair of angles is supplementary?

A
angle YZX and angle UZT
B
angle RXZ and angle YXZ
C
angle PXQ and angle RXS
D
angle WZX and angle XYZ
9

Which must be true?

A
Point cap A is the center of the circle that passes through points cap x , cap y , and cap z but is not the center of the circle that passes through points cap e , cap f , and cap g .
B
Point cap A is the center of the circle that passes through points cap e , cap f , and cap g but is not the center of the circle that passes through points cap x , cap y , and cap z .
C
Point cap A is the center of the circle that passes through points cap e , cap f , and cap g and the center of the circle that passes through points cap x , cap y , and cap z .
D
Point cap A is not necessarily the center of the circle that passes through points cap e , cap f , and cap g or the center of the circle that passes through points cap x , cap y , and cap z .
10

Which must be true?

A
line segment AZ is congruent to line segment BZ
B
line segment TA is congruent to line segment TB
C
angle BTZ is congruent to angle BUZ
D
angle TZA is congruent to angle TZB
11

Which shows the sides in order from longest to shortest?

A
line segment RP comma line segment PQ comma line segment RQ
B
line segment RQ comma line segment RP comma line segment PQ
C
line segment RQ comma line segment PQ comma line segment RP
D
line segment mathrm PQ comma line segment mathrm RQ comma line segment mathrm RP
12

The measures of the angles of the triangle are 32 degrees , 53 degrees , 95 degrees Based on the side lengths, what are the measures of each angle?

A
m angle cap A is equal to 43 degrees , m angle cap b is equal to 32 degrees , m angle cap c is equal to 95 degrees
B
m angle cap A is equal to 95 degrees , m angle cap b is equal to 53 degrees , m angle cap c is equal to 32 degrees
C
m angle cap A is equal to 32 degrees , m angle cap b is equal to 53 degrees , m angle cap c is equal to 95 degrees
D
m angle cap A is equal to 53 degrees , m angle cap b is equal to 95 degrees , m angle cap c is equal to 32 degrees

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