AnswersCMS 2026-2027 NC Math 2 CREDIT RECOVERYTriangles and Their Side Lengths

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Triangle QRS is a right triangle with the right angle at vertex cap r The sum of m angle cap q and m angle cap s must be

A
greater than 90 degrees and less than 180 degrees .
B
equal to 90 degrees .
C
greater than 45 degrees and less than 90 degrees .
D
equal to 45 degrees .
3

Triangle ABC is an obtuse triangle with the obtuse angle at vertex cap b Angle cap A must be

A
congruent to angle cap c .
B
greater than 90 degrees .
C
congruent to angle cap b .
D
less than 90 degrees .
4

Which are the possible side lengths of a triangle?

A
4 cm, 8 cm, 10 cm
B
8 cm, 10 cm, 18 cm
C
6 cm, 9 cm, 17 cm
D
3 cm, 5 cm, 9 cm
5

Steven is cutting an 11 ft piece of lumber into three pieces to build a triangular garden. Which diagram shows a way in which he can cut the wood to create three pieces that can form a triangle?

A
Image with description A line segment is divided by two dashed cut marks into three pieces labeled 1 foot, 4 feet, and 6 feet.
B
Image with description A line segment is divided by two dashed cut marks into three pieces labeled 3 feet, 4 feet, and 4 feet.
C
Image with description A line segment is divided by two dashed cut marks into three pieces labeled 2 feet, 2 feet, and 7 feet.
D
Image with description A line segment is divided by two dashed cut marks into three pieces labeled 3 feet, 2 feet, and 6 feet.
6

In triangle XYZ , m angle cap z is greater than m angle cap x plus m angle cap y Which must be true about triangle XYZ ?

A
m angle cap y is greater than 90 degrees
B
angle cap x and angle cap y are complementary
C
m angle cap x plus m angle cap z is less than 90 degrees
D
m angle cap x plus m angle cap y is less than 90 degrees
7

A triangle has side lengths measuring 2⁢x+2 ft, x+3 ft, and n ft. Which expression represents the possible values of n , in feet? Express your answer in simplest terms.

A
x minus 1 is less than n comma n is less than 3 x plus 5
B
n is equal to 3 x plus 5
C
3 x plus 5 is less than n comma n is less than x minus 1
D
n is equal to x minus 1
8

Iliana claims that she can construct a triangle from a 12 -inch rod, a 36 -inch rod, and a 39 point 4 -inch rod. Which statement explains whether she is correct?

A
Iliana cannot construct a triangle because the sum of the two smaller sides will not be greater than the third side.
B
Iliana cannot construct a triangle because the sum of the two smaller sides will be greater than the third side.
C
Iliana will be able to construct a triangle because the sum of any two sides is greater than the third side.
D
Iliana will be able to construct a triangle because the sum of any two sides is less than the third side.
9

If triangle DEF has a 90 degrees angle at vertex cap e , which statements are true? Choose two correct answers.

A
The angle at vertex cap d is acute.
B
The angle at vertex cap f is obtuse.
C
The angle at vertex cap d is obtuse.
D
Triangle DEF is an obtuse triangle.
E
Triangle DEF is a right triangle.
10

A triangle has side lengths measuring 3 x cm, 7 x cm, and h cm. Which expression describes the possible values of h , in cm?

A
10 x is less than h comma h is less than 4 x
B
4 x is less than h comma h is less than 10 x
C
h is equal to 10 x
D
h is equal to 4 x

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