Answer:
8√5 units.
Step-by-step explanation:
See the diagram in the coordinate plane attached.
A rhombus has four equal sides and to find the perimeter of the rhombus we have to measure any of the sides of the figure of the rhombus.
The coordinates of the topmost point are (-1,-1) and that of the rightmost point are (3,-3).
Therefore, side length of the rhombus will be
units.
So, the perimeter of the rhombus will be (4 × 2√5) units = 8√5 units. (Answer)
The distance between two points and on a coordinate plane is given by
Answer:
The transformation in this figure is rotation.
Step-by-step explanation:
The transformation in this figure is rotation.
There are four types of transformation.
<u>Translation:</u>
Movement of the object without rotating it or changing its size.
<u>Reflection:</u>
Flipping the object about a line of reflection. The mirror image is formed after transformation.
<u>Dilation:</u>
Changing the size of a figure without changing its essential shape.
<u>Rotation:</u>
A rotation is a transformation that turns a figure about a fixed point called the center of rotation.An object and its rotation are the same shape and size, but the figures may be turned in different directions....
When two the same numbers under the square root multiply, they are equal to the value under the square root, for example √2⋅√2 = 2. So then we have:
3√2⋅2√8⋅√3⋅√6 = 3⋅√2⋅2⋅√(2⋅2⋅2)⋅√3⋅√(3⋅2) = 3⋅2⋅√2⋅√2⋅√2⋅√2⋅√2⋅√3⋅√3 = 3⋅2⋅2⋅√2⋅3 = 36⋅√2
or if the bolded 2 from above is also the square root, then the solution is:
3√(2⋅2)√(2⋅2⋅2)⋅√3⋅√(3⋅2) = 54
Check the picture below.
since "y" and 3x+45 are both linear angles, then y + (3x + 45) = 180.
but wait a second!! "y" is a corresponding angle to 81°, so y = 81° then, therefore,
and that can only happen, if c || d.