Quadrilateral QRST is dilated by a factor of 2 with the center of dilation at the origin. What are the coordinates of quadrilate
ral Q′R′S′T′? answer: A) Q′ (–4, 4), R′ (4, 4), S′ (4, –4), T′ (–4, –4) B) Q′ (4, 4), R′ (–4, 4), S′ (–4, –4), T′ (4, –4) C) Q′ (–1, 1), R′ (1, 1), S′ (1, –1), T′ (–1, –1) D) Q′ (–3, 3), R′ (3, 3), S′ (3, –3), T′ (–3, –3)
1 answer:
Answer:
Q(-4,4)R' (4,4)S' (4,-4)T'(-4,-4)
Step-by-step explanation:
Given
Quadrilateral QRST
Dilated Factor = 2
Required
Find the coordinates of Q'R'S'T'
To do this, we first have to identify the coordinates of QRST
Being dilated by scale factor of 2 means we have to multiply each coordinates by 2; This is as shown below
Q'R'S'T' = 2 * QRST
Q' = 2 * (-2,2)
<em>Q(-4,4)R' (4,4)S' (4,-4)T'(-4,-4)</em>
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A protractor will only give accurate measurements if its geometry is perfect. Some printers will scale a figure differently in horizontal and vertical directions, so will make the protractor scale be elliptical instead of circular. That will give wrong readings.
