Construct a triangle with interior angle measures of 60° and 60°. Let one of the side lengths be 10. What are the lengths of the
2 answers:
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The shrink or stretch of the image of PQRS which is the dilation of PQRS is given as follows;
- The rule of the dilation is
, followed by a reflection across the x-axis
Reason:
The given completed table is presented as follows;
Length of the side = 3 - 1 = 2
Length of the side = 3 - 1 = 2
Length of the side = 3 - 2 = 1
Length of the side =
Length of the side = -2 - (-6) = 4
Length of the side = 6 - 2 = 4
Length of the side = -4 - (-6) = 2
Length of the side =
However, the coordinates of the image of PQRS, which is P'Q'R'S', following a dilation are'
The transformation of the coordinates of P'Q'R'S', to KLMN are;
- (x, y) → (x, -y)
which is equivalent to a reflection across the x-axis
Therefore, the transformation that gives the coordinate of KLMN from PQRS is a dilation by a scale factor of , which is a rule of dilation of
, followed by a reflection across the x-axis
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