Me with these questions
question 1
which statement completes step 6 of the proof?
coordinate plane with line f at y equals 3 times x plus 1 and line g at y equals negative one third times x plus 1. triangle jkl is at j negative 1 comma negative 2, k 0 comma 1, and l 0 comma negative 2. triangle j prime k l prime is at j prime negative 3 comma 2, k 0 comma 1, and l prime negative 3 comma 1.
step 1 segment kl is parallel to the y-axis, and segment jl is parallel to the x-axis.
step 2 δjkl was rotated 90° clockwise to create δj'kl'. point k did not change position, so it remains point k. therefore, δjkl ≅ δj'kl'.
step 3 segment k l prime is perpendicular to the y-axis, and segment j prime l prime is perpendicular to the x-axis.
step 4 segment jk lies on line f and has a slope of 3.
step 5 segment j prime k lies on line g and has a slope of negative one third.
step 6 ?
the product of the slopes of segment jk and segment j prime k is −1; therefore, lines f and g are perpendicular.
the slopes of segment jk and segment j prime k are congruent; therefore, lines f and g are parallel.
the product of the slopes of segment kl and segment k l prime is −1; therefore, lines f and g are perpendicular.
the slopes of segment kl and segment k l prime are congruent; therefore, lines f and g are parallel.
question 2
which statement explains the relationship of sides ba and b'a' after rectangle badc has been rotated 180° about the origin?
coordinate plane with rectangle abcd at a 3 comma 5, b 1 comma 3, c 5 comma negative 1, and d 7 comma 1
side b'a' has a slope of −1 and is perpendicular to side ba.
side b'a' has a slope of 1 and is parallel to side ba.
side b'a' has a slope of 1 and is perpendicular to side ba.
side b'a' has a slope of −1 and is parallel to side ba.
question 3
a contractor is building a new subdivision on the outside of a city. he has started work on the first street and is planning for the other streets to run in a direction parallel to the first. the second street will pass through (−2, 4). find the equation of the location of the second street in standard form.
coordinate grid with a segment labeled street 1 that extends between the points negative 5 comma 6 and three comma negative 2; a point labeled street 2 is at negative 2 comma 4
2x + y = 2
x − y = 2
2x − y = 2
x + y = 2
question 4
find the equation of a line that is perpendicular to line g that contains (p, q).
coordinate plane with line g that passes through the points negative 3 comma 6 and 0 comma 5
3x − y = 3p − q
3x + y = q − 3p
x − y = p − q
x + y = q − p
question 6(multiple choice worth 1 points)
(04.02 mc)
what is the y-intercept of the line perpendicular to the line y = four thirdsx + 1 that includes the point (4, 1)?
2
negative thirteen thirds
4
negative nineteen thirds