Which process will transform figure honto figure k?

a- reflect figure over the x-axis, followed by a reflection over the y-axis
b- rotate figure h 180° about the origin
c- reflect the figure h over the y axis, followed by a reflection over the x axis, followed by a translation of 2 units to the right
d- rotate figure h180° about the origin, and then translate it 2 units to the left

From the given diagram  and the options, the correct option is,

C. Reflect the figure H over the Y axis, followed by a reflection over the X axis, followed by a translation of 2 units to the right.

Step-by-step explanation:

From the given diagram  and the options, the correct option is,

C. Reflect the figure H over the Y axis, followed by a reflection over the X axis, followed by a translation of 2 units to the right.

geometry: triangles

solvers

lessons

answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

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