Select the coordinates A′ and B′ after dilation of the line segment AB with a scale factor of 2, centered at the origin where the endpoints are A(3,7) and B(4,9) .(1 point) Responses A′(32,72) and B′(2,92) upper A prime left parenthesis Start Fraction 3 over 2 End Fraction comma Start Fraction 7 over 2 End Fraction right parenthesis and upper B prime left parenthesis 2 comma Start Fraction 9 over 2 End Fraction right parenthesis A′(6,14) and B′(−4,3) upper A prime left parenthesis 6 comma 14 right parenthesis and upper B prime left parenthesis negative 4 comma 3 right parenthesis A′(−6,3) and B′(8,18) upper A prime left parenthesis negative 6 comma 3 right parenthesis and upper B prime left parenthesis 8 comma 18 right parenthesis A′(6,14) and B′(8,18)
The correct option is A′(6,14) and B′(8,18).
To find the coordinates after dilation with a scale factor of 2 centered at the origin, we multiply the coordinates of A and B by the scale factor.
A(3,7) x 2 = A′(6,14)
B(4,9) x 2 = B′(8,18)
Please someone start posting answers on math questions like other subjects omg.
But here are the answers to the full quick check
1: A'(6,14) and B'(8,18)
2: A′(−2,1) and B′(−4,3)
3: A′ (−8, 2) and B′ (−2, 6)
4: A′ (5, 10) and B′ (−10, −5)
5: Triangle A′B′C′ is 5 times as large as triangle ABC and is 5 times as far from the center point of dilation.