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Triangle Inequalities — Quiz Answers

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1
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Which statement about the sides must be true?

A
SR is equal to DE
B
QS is equal to DF
C
DF is less than QS
D
QS is less than DE
2
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Which is correct regarding the angles of the triangle?

A
m angle cap c is greater than m angle cap A comma m angle cap A is greater than m angle cap b
B
m angle cap c is greater than m angle cap b comma m angle cap b is greater than m angle cap A
C
m angle cap A is greater than m angle cap c comma m angle cap c is greater than m angle cap b
D
m angle cap b is greater than m angle cap A comma m angle cap A is greater than m angle cap c
3

Based on the given angle measures, which triangle has side length measures that could be correct?

A
Image with description The right-angled triangle has a measure of 60, 30, and 90 degrees respectively. The length of the base, hypotenuse, and altitude are equal to 8, 16, and 13 point 9 degrees respectively.
B
Image with description The right-angled triangle has a measure of 60, 30, and 90 degrees respectively. The length of the base, hypotenuse, and altitude are equal to 13 point 9, 16, and 8 degrees respectively.
C
Image with description The right-angled triangle has a measure of 60, 30, and 90 degrees respectively. The length of the base, hypotenuse, and altitude are equal to 8, 13 point 9, and 16 degrees respectively.
D
Image with description The right-angled triangle has a measure of 60, 30, and 90 degrees respectively. The length of the base, hypotenuse, and altitude are equal to 16, 13 point 9, and 8 degrees respectively.
4

Which statement is true about the lengths of the sides?

A
Each side has a different length.
B
Two sides have the same length, which is less than the length of the third side.
C
The sum of the lengths of two sides is equal to the length of the third side.
D
The three sides have the same length.
5

Which statement correctly compares line segment AB and line segment FD ?

A
line segment AB is shorter than line segment FD .
B
line segment AB is shorter than or the same length as line segment FD .
C
line segment AB is longer than line segment FD .
D
line segment AB and line segment FD are the same length.
6

Which statement correctly compares the angles?

A
Angle cap g is congruent to angle cap p .
B
Angle cap g is larger than angle cap p .
C
Angle cap g is smaller than angle cap p .
D
Angle cap g is congruent to angle cap n .
8

Which shows the order of the angles from smallest to largest?

A
angle cap A , angle cap b , angle cap c
B
angle cap b , angle cap c , angle cap A
C
angle cap c , angle cap A , angle cap b
D
angle cap b , angle cap A , angle cap c
9

Which statements are true regarding the sides and angles of the triangle? Choose three correct answers.

A
Angle cap z is greater than angle cap y .
B
line segment XY is the longest side.
C
line segment XZ is the shortest side.
D
line segment XZ is opposite the largest angle.
E
Angle cap x is the largest angle.
10

Which statement is true regarding triangle TUV ?

A
Angle cap t is the smallest angle.
B
Angles cap u and cap t must be equal.
C
Angles cap u and cap v must be equal.
D
Angle cap v is the smallest angle.

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Triangle Inequalities — Quiz Answers — Geometry