Answer:
The new coordinates of the points of the line segment are p'(2,1) and q'(3,4)
Step-by-step explanation:
we know that
When you reflect a point across the line y= x, the x-coordinate and y-coordinate change places.
so
The rule of the reflection of a point across the line y=x is
(x,y) -----> (y,x)
we have
Points p(1,2) and q(4,3)
Applying the rule of the reflection across the line y=x
p(1,2) ------> p'(2,1)
q(4,3) -----> q'(3,4)
therefore
The new coordinates of the points of the line segment are p'(2,1) and q'(3,4)
Answer:
Perpendicular
Step-by-step explanation:
Parallel lines mean lines that have same slope but since both equations have different slopes which you can check by looking at m-value in y = mx + b. In this case m1 or first slope is -4/3 and m2 or second slope is 3/4.
Perpendicular means that both lines are reciprocal to each other. This means the perpendicular condition is or satisfies
We have m1 = -4/3 and m2 = 3/4.
Therefore, -4/3 * 3/4 = -1 thus both lines are perpendicular to each other as it satisfies m1m2 = -1 condition.
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Answer:
Rotation 90° CCW
Step-by-step explanation:
Note that Figure 1 has a small appendage off the larger rectangle. That appendage is pointing East (to the right).
In Figure 2, that same appendage is pointing North (up).
If you are facing East and you want to face North, you will find that you need to turn 90° in the counterclockwise direction. That is the transformation that was done here:
rotation 90° CCW about the origin
Answer:
The slope between the points (0, -6) and (3, -2) will be:
Step-by-step explanation:
Given the points
The slope between the points (0, -6) and (3, -2) will be:
Therefore, the slope between the points (0, -6) and (3, -2) will be:
<h3>
2 Answers: B and D</h3>
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Explanation:
Choice B is one answer because -2 and 2 are additive inverses that add to -2+2 = 0
Choice D is a similar story. We have -5+5 = 0
In general, if x is some number then -x is its additive inverse. So we can say x+(-x) = 0 or -x+x = 0. In short, additive inverses add to 0.