All side lengths in quadrilateral PQRS measure 4 units. A transformation maps PQRS to P'Q'R'S'. All sides of P'Q'R'S' measure 1
2 answers:
Answer:
No, the side lengths are not preserved.
Step by step explanation:
We have been given that all side lengths in quadrilateral PQRS measure 4 units. A transformation maps PQRS to P'Q'R'S'. All sides of P'Q'R'S' measure 1 unit.
We can see that the transformation that maps PQRS to P'Q'R'S' is dilation as after dilating our pre-image PQRS with a factor of we get our image P'Q'R'S'.
Since we know that isometry does not change the shape or size of the figure and isometric figures are said to be geometrically congruent. In our case our side lengths are shrunken so the given transformation is not isometric.
Therefore, our transformation is not isometric as the side lengths are not preserved.
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Answer:
is the resulting expression after grouping
Step-by-step explanation:
Given:
Now taking common from 1st 2 numbers and and 3 common from last we get
Now taking x-3 common from both numbers we get
which is the final equation after grouping
Answer:
(x - 16)² + (y - 4)² = 8
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k) = (16, 4) and r = 2, thus
(x - 16)² + (y - 4)² = (2 )², that is
(x - 16)² + (y - 4)² = 8