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Grade:
8
, Subject:
Math
, Topic:
Geometry Coordinate Plane Translation, Reflection, Rotation, Dialation
See the following text/image to answer questions 1 through 10
Question 1:
Line AB is reflected across the line Z
_{1}
Z
_{2}
. Fine new coordinates of points A and B.
A(15,7) and B(15,17)
A(15,3) and B(15,13)
A(1,7) and B(1,17)
A(15,17) and B(15,7)
Question 2:
Square HIJK is dilated using a scale factor 2.0. Center of dilation is the center of the square. Find new coordinates of points H and K.
H(4,10) & K(4,4)
H(3,12) & K(4,3)
H(3,3) & K(3,10)
H(3,11) & K(3,3)
Question 3:
Square HIJK is dilated using a scale factor 1.5. Center of dilation is the center of the square. It is then translated 4 points to the left and 4 points down. Find new coordinates of point K.
(1,1)
(0,0)
(2,2)
(3,3)
Question 4:
Circle with the center G is reflected across the y-axis and translated one point to the left. What is true about the circle?
It is in Quadrant I and II
Its center is below its previous center on y axis
It is touching the y-axis
It is touching the x-axis
Question 5:
Circle with the center G is rotated 180
^{o}
counter-clockwise around the point O
_{1}
. Find the coordinates of its center G.
(−4,13)
(−4,10)
(−4,6)
(4,10)
Question 6:
Line CD is rotated 30
^{o}
clockwise around the point C. What is true about the rotated line?
Point D is on x-axis
Point C is in first quadrant
Point D is in first quadrant
Point D is in third quadrant
Question 7:
Line EF is translated 2 pints to the right, then dilated using a scale factor 1/7. Fine new coordinates of point F.
(1,4)
(3,−4)
(1,−4)
(7,−4)
Question 8:
Square OPQR is rotated 90
^{o}
clockwise on its center. Find new coordinates of points O and Q.
O(2,−19) & Q(2,−11)
O(2,−11) & Q(−2,−19)
O(−2,−19) & Q(2,−11)
O(4,−10) & Q(2,11)
Question 9:
Square OPQR is rotated 90
^{o}
clockwise on its center. It is then dilated using scale factor of 1.5. Find new coordinates of points O and Q.
O(3,−9) & Q(−3,−21)
O(2,9) & Q(−2,−21)
O(3,−11) & Q(−3,−19)
O(2,−11) & Q(−2,−19)
Question 10:
Triangle LMN is rotated 180
^{o}
counter-clockwise around the point L. Find new coordinates of point N.
(2,0)
(4,−10)
(5,1)
(4,0)
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