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Grade:
8
, Subject:
Math
, Topic:
Geometry Coordinate Plane Dilation
See the following text/image to answer questions 1 through 10
Question 1:
Line AB is dilated using a scale factor 0.25 (decreased). Center of dilation is the point B. Find new coordinates of point A.
(13,4)
(13,11)
(13,7)
(13,15)
Question 2:
Square HIJK is dilated using a scale factor 0.5 (decreased). Center of dilation is the center of the square. Find new coordinates of points H and I.
H(1,5) & H(5,5)
H(4,5) & H(4,5)
H(1,4) & H(5,4)
H(1,4) & H(4,4)
Question 3:
Square HIJK is dilated using a scale factor 0.5 (decreased). Center of dilation is the point J. Find new coordinates of points H and K.
H(5,5) & (1,5)
H(5,4) & (4,1)
H(9,5) & (9,1)
H(5,5) & (5,1)
Question 4:
Line CD is dilated using a scale factor 0.25 (decreased). Center of dilation is the point C. Find new coordinates of point D.
(−4,0)
(−4,−4)
(0,4)
(−4,8)
Question 5:
Circle with center G is dilated using a scale factor 2.0. Center of dilation is the center of the circle. Which of the following line will it touch now?
x = −2
y = 22
y = 10
All of the above
Question 6:
Which of the following scale factor, if used to dilate the circle with center G, will bring a portion of it into first quadrant?
0.5
2.0
1.5
3.0
Question 7:
Line EF is dilated using a scale factor 0.5 (decreased). Center of dilation is the point F. Find new coordinates of point E.
(−6.5,−2)
(−3.5,−4)
(−6.5,−4)
(−8.5,−4)
Question 8:
Rectangle OPQR is dilated using a scale factor 0.5 (decreased). Center of dilation is the center of the rectangle. Find new coordinates of points O and Q.
O(&minus2;−14) & Q(2,−16)
O(&minus2;−15) & Q(2,−15)
O(&minus2;−13) & Q(2,−17)
O(&minus4;−14) & Q(4,−16)
Question 9:
Rectangle OPQR is dilated using a scale factor 2.0. Center of dilation is the point N. Find new coordinates of points L and M.
L(3,1) & M(20,1)
L(1,0) & M(20,0)
L(2,0) & M(21,0)
L(2,1) & M(21,1)
Question 10:
Rectangle OPQR is dilated using a scale factor 2.0. Center of dilation is the point N
_{1}
. Find new coordinates of point N.
(24,−20)
(12,−15)
(12,−10)
(12,−20)
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