I'll just use the first vertex of every quadrilateral in comparison with J(8,4)
A(-8,-4) ; B(-4,-10) ; C(-12,-12) ; D(-14,-10) → a sequence of reflections across the x and y-axes, in any order. This is easy because each vertex has the same number but different signs.
E(11,2) ; F(7,8) ; G(15,10) ; H(17,8) → a translation of 3 units left and 2 units up. As you can envision with a graph, from 11 to 8, you need to move to the left of the x-axis. from 2 to 4, you need to move up of the y-axis.
O(6,7) ; P(2,13) ; Q(10,15) ; R(12,13) → a translation 2 units right and 3 units down. From 6 to 8 of the x-axis and from 7 to 4 of the y axis.
S(4,16) ; T(10,20) ; U(12,12) ; V(10,10) → This one has no pair but it seems as though this is rotated along the point U.
W(11,7) ; X(7,13) ; Y(15,15) ; Z(17,13) → a translation 3 units down and 3 units left.
<span>The sum of Kate age and her mother's age is 52, so K + M = 52 Kate's mother is 20 years older then Kate, so M = 20 + K How old is each person? Since M = 20 + K, substitute it into the first equation, that is, replace M with 20 + K
So, K + (20 + K) = 52 K + 20 + K = 52 2K + 20 = 52 Subtract 20 from both sides: 2K = 52 - 20 2K = 32 divide both sides by 2 to get K = 16 Now we can find M, since M = 20 + K = 20 + 16 = 36 Kate is 16 years old and her mother is 36 years old. Hope this helps!!1</span>