still, if you have any doubt ask me!
Answer:
D. (x, y) → (x, −y)
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation.
The orientation shows how an object is arranged. Rotation, translation and dilation preserves orientation while reflection does not preserve orientation.
The transformation (x, y) → (4x, 4y) shows the dilation by a scale factor of 4. Dilation preserve orientation.
The transformation (x, y) → (−y, x) shows the rotation of a point 90 degrees counterclockwise. Rotation preserve orientation.
The transformation (x, y) → (14x, 14y) shows the dilation by a scale factor of 14. Dilation preserve orientation.
The transformation (x, y) → (x, −y) shows a reflection over the x axis. Reflection does not preserve orientation.
Answer:
19 degrees.
Step-by-step explanation:
First solve the angles in the top triangle:
FHG = 180 - 135 = 45 (angles on a straight line = 180)
FGH = 180 - 105 = 75 (angles on a straight line = 180)
Using these we get HFG = 180 - 45 - 75 = 60 (angles in a triangle = 180)
Then because HFG is directly opposite DFC on the crossed lines, we know they are equal: DFC = 60
FDC = 180 - 119 = 61 (anges on a straight line = 180)
Now if we label ABC (the target angle) as x then we known ACB = 180 - 40 - x.
With this we know FCD = 180 - ACB = 180 - (180 - 40 - x) = 40 + x (angles on a straight line).
Finally using the FDC triangle we have 40 + x + 60 + 61 = 180 so x = 180 - 40 - 60 - 61 = 19 degrees.
