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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 = −2y = 22

y = 10All 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?

0.52.0

1.53.0
 
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 N1. Find new coordinates of point N.

(24,−20)(12,−15)

(12,−10)(12,−20)
 
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