geometry b - unit 1: coordinate geometry:
slope and midpoints lessons 1-5 Exam
2026 Questions and Answers
lesson 1 - Correct answer-slope and parallel lines
examine the following lines and answer the question. given that line a is parallel to
line b and the slope of line a is 2, what is the slope of line b? - Correct answer-2
line l contains the points a(-2, 2) and b(-1, 0), and line k contains the points c(0, 4)
and d(1, 2)
are lines l and k, parallel? justify your response. - Correct answer-yes, both lines
have a slope of -2, so they are parallel.
use the diagram to answer the question. if cyrus knows that abc ~ edc and ab || ed,
how can he prove that like m passing through ab has the same slope as line l
passing through ed? - Correct answer-cyrus can use properties of similar triangles
to show that ac/ec = bc/dc. then, by the multiplication property of equality, ac/bc =
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,ec/dc. by the slope formula, the slope of line m = -ac/bc and the slope of line l = -
ec/dc. thus, the slopes are equal.
which equation in slope-intercept form represents a line that passes through the
point (5, -1) and is parallel to the line y = 2x - 7? - Correct answer-y = 2x - 11
which equation in slope-intercept form represents a line that passes through the
point (2, 3) and is parallel to the line y - 9 = 2/3(x + 7)? - Correct answer-y = 2/3x
+ 5/3
allana knows that xyz ~ uvz and xy || uv. what segment relationships can allana use
to prove that the slope of line l is equal to the slope of line m? - Correct answer-
allana can show that uz/xz = vz/yz using the properties of similar triangles. then,
uz/vz = xz/yz by the multiplicative property of equality. so, the slopes are equal by
the slope formula.
which equation in slope-intercept form represents a line that is parallel to y = 1/2x -
2 and passes through the point (-8, 1)? - Correct answer-y = 1/2x + 5
which equation in slope-intercept form represents a line that is parallel to y = -4x -
5 and passes through the point (0, 0)? - Correct answer-y = -4x
line l contains the points a(2, 2) and b(3, 6). line k contains the points c(0, 5) and
d(1, 9).
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, are lines l and k parallel? justify your response. - Correct answer-yes, lines l and k
are parallel because the slopes are equal.
examine the two distinct lines defined by the following two equations in slope-
intercept form.
are lines l and k parallel? justify your response. - Correct answer-yes lines l and k
are parallel because their slopes are equal.
lesson 2 - Correct answer-slope and perpendicular lines
use ab and cd to answer the question.
ab contains the points a(2, 1) and b(3, 4)
cd contains the points c(-2, -1) and d(1, -2)
is ab perpendicular to cd? why or why not? - Correct answer-yes, because the
product of the slopes is -1.
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slope and midpoints lessons 1-5 Exam
2026 Questions and Answers
lesson 1 - Correct answer-slope and parallel lines
examine the following lines and answer the question. given that line a is parallel to
line b and the slope of line a is 2, what is the slope of line b? - Correct answer-2
line l contains the points a(-2, 2) and b(-1, 0), and line k contains the points c(0, 4)
and d(1, 2)
are lines l and k, parallel? justify your response. - Correct answer-yes, both lines
have a slope of -2, so they are parallel.
use the diagram to answer the question. if cyrus knows that abc ~ edc and ab || ed,
how can he prove that like m passing through ab has the same slope as line l
passing through ed? - Correct answer-cyrus can use properties of similar triangles
to show that ac/ec = bc/dc. then, by the multiplication property of equality, ac/bc =
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,ec/dc. by the slope formula, the slope of line m = -ac/bc and the slope of line l = -
ec/dc. thus, the slopes are equal.
which equation in slope-intercept form represents a line that passes through the
point (5, -1) and is parallel to the line y = 2x - 7? - Correct answer-y = 2x - 11
which equation in slope-intercept form represents a line that passes through the
point (2, 3) and is parallel to the line y - 9 = 2/3(x + 7)? - Correct answer-y = 2/3x
+ 5/3
allana knows that xyz ~ uvz and xy || uv. what segment relationships can allana use
to prove that the slope of line l is equal to the slope of line m? - Correct answer-
allana can show that uz/xz = vz/yz using the properties of similar triangles. then,
uz/vz = xz/yz by the multiplicative property of equality. so, the slopes are equal by
the slope formula.
which equation in slope-intercept form represents a line that is parallel to y = 1/2x -
2 and passes through the point (-8, 1)? - Correct answer-y = 1/2x + 5
which equation in slope-intercept form represents a line that is parallel to y = -4x -
5 and passes through the point (0, 0)? - Correct answer-y = -4x
line l contains the points a(2, 2) and b(3, 6). line k contains the points c(0, 5) and
d(1, 9).
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, are lines l and k parallel? justify your response. - Correct answer-yes, lines l and k
are parallel because the slopes are equal.
examine the two distinct lines defined by the following two equations in slope-
intercept form.
are lines l and k parallel? justify your response. - Correct answer-yes lines l and k
are parallel because their slopes are equal.
lesson 2 - Correct answer-slope and perpendicular lines
use ab and cd to answer the question.
ab contains the points a(2, 1) and b(3, 4)
cd contains the points c(-2, -1) and d(1, -2)
is ab perpendicular to cd? why or why not? - Correct answer-yes, because the
product of the slopes is -1.
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