AnswersGeometryRelationships of Lines and Transversals

Relationships of Lines and Transversals — Test Answers

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Which shows how to find the y -coordinate of the point that will divide line segment C D into a ratio of 5 to 2 ratio using the formula y is equal to open paren the fraction with numerator A and denominator A plus b close paren times open paren y sub 2 minus y sub 1 close paren plus y sub 1 ?

A
y is equal to 5 halves times open paren 3 minus 1 close paren plus 1
B
y is equal to 5 halves times open paren 3 plus 4 close paren minus 4
C
y is equal to 5 sevenths times open paren 3 minus 1 close paren plus 1
D
y is equal to 5 sevenths times open paren 3 plus 4 close paren minus 4
3

Which point is on the line that passes through point cap z and is perpendicular to line AB ?

A
open paren 4 comma 4 close paren
B
open paren 2 comma 0 close paren
C
open paren negative 4 comma 1 close paren
D
open paren 1 comma negative 2 close paren
4

The measure of one angle is 130 degrees Which statement is true regarding the 130 degrees angle and angle 3 ?

A
They are corresponding angles, so angle 3 also measures 130 degrees .
B
They are same-side interior angles, so angle 3 measures 50 degrees .
C
They are alternate interior angles, so angle 3 also measures 130 degrees .
D
They are alternate exterior angles, so angle 3 measures 50 degrees .
5

What is the equation, in slope-intercept form, of the perpendicular bisector of the given line segment?

A
y is equal to 3 x
B
y is equal to 3 x minus 8
C
y is equal to 1 third x
D
y is equal to 1 third x minus 2
6

Based on this information, which pair of lines, together, could be perpendicular to line segment RS ? Choose two correct answers.

A
over left right arrow EA
B
over left right arrow FG
C
over left right arrow ER
D
over left right arrow EF
E
over left right arrow FS
7

The midpoint of line segment R S is point T What are the coordinates of point S ?

A
10 comma negative 7
B
8 comma negative 4
C
1 comma 1 half
D
1 comma negative 1 half
9

What is the perimeter of quadrilateral ABCD?

A
18 plus square root of 26 units
B
18 plus square root of 50 units
C
18 plus square root of 6 units
D
18 plus square root of 2 units
11

On a number line, the directed line segment from cap q to cap s has endpoints cap q at negative 14 and cap s at 2 Point cap r partitions the directed line segment from cap q to cap s in a ratio of 3 to 5 ratio. Which expression correctly uses the formula open paren the fraction with numerator m and denominator m plus n close paren times open paren x sub 2 minus x sub 1 close paren plus x sub 1 to find the location of point cap r ?

A
open paren the fraction with numerator 3 and denominator 3 plus 5 close paren times open paren negative 14 minus 2 close paren plus 2
B
open paren the fraction with numerator 3 and denominator 3 plus 5 close paren times open paren 2 minus 14 close paren plus 14
C
open paren the fraction with numerator 3 and denominator 3 plus 5 close paren times open paren 2 minus negative 14 close paren plus negative 14
D
open paren the fraction with numerator 3 and denominator 3 plus 5 close paren times open paren negative 14 minus 2 close paren minus 2
12

Given that r is parallel to s and q is a transversal, we know that angle 3 is congruent to angle 6 by the [________].

A
alternate interior angles theorem
B
vertical angles theorem
C
corresponding angles theorem
D
alternate exterior angles theorem
13

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

A
y is equal to 1 fifth x plus 4
B
y is equal to negative 5 x plus 4
C
y is equal to 1 fifth x plus 12 fifths
D
y is equal to negative 5 x plus 12 fifths
14

What is the value of d ?

A
d is equal to 155
B
d is equal to 125
C
d is equal to 75
D
d is equal to 55
15

What is the value of y ?

A
y is equal to 100
B
y is equal to 120
C
y is equal to 40
D
y is equal to 80
16

Which is the correct calculation of the y -coordinate of point A?

A
square root of open paren 0 minus 0 close paren squared plus open paren 1 minus y close paren squared end root is equal to 2 squared
B
square root of open paren 0 minus 1 close paren squared plus open paren 0 minus y close paren squared end root is equal to 2 squared
C
square root of open paren 0 minus 0 close paren squared plus open paren 1 minus y close paren squared end root is equal to 2
D
square root of open paren 0 minus 1 close paren squared plus open paren 0 minus y close paren squared end root is equal to 2
17

Which statements are true about triangle XYZ? Choose three correct answers.

A
XYZ is a scalene triangle.
B
XY measures square root of 26 units.
C
XYZ is a right triangle.
D
ZX measures square root of 34 units.
E
YZ measures square root of 52 units.
19

Which point on the y -axis lies on the line that passes through point cap g and is parallel to line DF ?

A
open paren negative 2 comma 0 close paren
B
open paren 0 comma 4 close paren
C
open paren 4 comma 0 close paren
D
open paren 0 comma negative 2 close paren
20

What is the length of segment TQ ?

A
15 units
B
4 units
C
14 units
D
11 units

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