AnswersGeometryRelationships of Lines and Transversals

Practice Test Answers

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1
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Why are lines AC and RS skew lines?

A
They lie in the same plane but will never intersect.
B
They lie in different planes but will intersect if a plane is drawn to contain both lines.
C
They lie in different planes and will never intersect.
D
They lie in different planes and will be parallel if a plane is drawn to contain both lines.
2
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Which statement best explains the relationship between lines AB and CD ?

A
They are parallel because their slopes are negative reciprocals.
B
They are not parallel because their slopes are negative reciprocals.
C
They are not parallel because their slopes are not equal.
D
They are parallel because their slopes are equal.
3

Which statement best explains the relationship between lines PQ and RS ?

A
They are parallel because their slopes are equal.
B
They are not parallel because their slopes are not equal.
C
They are not parallel because their slopes are negative reciprocals.
D
They are parallel because their slopes are negative reciprocals.
4

Jonah finds the length of the sides of the quadrilateral before finding the perimeter. Which statement is true about the length of the sides of quadrilateral ABCD?

A
Side BC has a length of square root of 10 units.
B
Side CD has a length of square root of 5 units.
C
Side DA has a length of 5 units.
D
Side AB has a length of 6 units.
5

What is the equation of the line that is parallel to the given line and passes through the point open paren 2 comma 3 close paren ?

A
x plus 2 y is equal to 4
B
x plus 2 y is equal to 8
C
2 x plus y is equal to 8
D
2 x plus y is equal to 4
6

What is the value of g ?

A
g is equal to 105
B
g is equal to 75
C
g is equal to 80
D
g is equal to 100
7

Which statement about triangle QRS is true?

A
Triangle QRS is an isosceles triangle because QR is equal to RS.
B
Triangle QRS is a scalene triangle because all sides have different lengths.
C
Triangle QRS is an equilateral triangle because QR is equal to RS.
D
Triangle QRS is an isosceles triangle because QR is equal to QS.
8

What is the equation, in point-slope form, of the line that is parallel to the given line and passes through the point open paren 4 comma 1 close paren ?

A
y minus 1 is equal to negative 2 times open paren x minus 4 close paren
B
y minus 1 is equal to 2 times open paren x minus 4 close paren
C
y minus 1 is equal to negative 1 half times open paren x minus 4 close paren
D
y minus 1 is equal to 1 half times open paren x minus 4 close paren
9

What is the value of m ?

A
m is equal to 112
B
m is equal to 102
C
m is equal to 68
D
m is equal to 78
11

Point A is at negative 2 and point B is at 5 Open image in full-screen view Which shows how to determine the point that will divide the segment into a ratio of 4 to 5 ratio using the formula x is equal to open paren the fraction with numerator A and denominator A plus b close paren times open paren x sub 2 minus x sub 1 close paren plus x sub 1 ?

A
x is equal to 4 ninths times open paren 5 minus 2 close paren plus 2
B
x is equal to 4 fifths times open paren 5 plus 2 close paren minus 2
C
x is equal to 4 ninths times open paren 5 plus 2 close paren minus 2
D
x is equal to 4 fifths times open paren 5 minus 2 close paren plus 2
12

Point cap p partitions the directed segment from cap A to cap b into a ratio of 1 to 3 ratio. cap q partitions the directed segment from cap b to cap A into a ratio of 1 to 3 ratio. Are cap p and cap q the same point? Why or why not?

A
Yes, they are both 1 fourth the distance from one endpoint to the other.
B
No, cap q is closer to cap A and cap p is closer to cap b .
C
No, cap p is 1 fourth the distance from cap A to cap b , and cap q is 1 fourth the distance from cap b to cap A .
D
Yes, they both partition the segment into a ratio of 1 to 3 ratio.

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