Answer:
a)The slope of A"D" is 3
The slope of B"C" is 3
b) The line segments A"D" and B"C" are congruent and parallel.
Step-by-step explanation:
The pre-image of the parallelogram, has slope of AD equal −3 and the slope of BC equal −3.
Since translation and reflection are rigid transformations, the preimage and the image are congruent.
This means that the lengths of the corresponding sides are equal.
Hence AD=A"D'' and B"C"=BC
However, since the image after a reflection in the y-axis is laterally inverted, the slope of A"D" will be negative of the slope of AD.
Similarly, the slope of B"C" will be negative of the slope of BC.
The slope of A"D" is 3
The slope of B"C" is 3
Since the two line segments have the same slope, they are parallel.
Answer:
x=90? is there any other info?
Step-by-step explanation:
To do this you must divide the two numbers -23÷45 is -0.511111....
Note how angle GFE forms a right angle, which is 90 degrees.
Since the line cuts that angle into two smaller angles, intuitively, these angles add up to 90 degrees.
So, we can say that 2x + 3x = 90 (angle sum of right angle)
5x = 90
x = 18 degrees
