△MNO has vertices M(8,−2), N(−15,−20) and O(−14,19). Which of the following represents the translation of △MNO along vector <7,−2> and its reflection across the y-axis?

Step-by-step explanation:

Translation of a point along the vector <7, -2> means shifting of any point by 7 units to the right and 2 units down.

Rule for this translation → (x, y) → (x + 7, y-2)

By this rule new points will be

M(8, -2) → M'(15, -4)

N(-15, -20) → N'(-8, -22)

O(-14, 19) → O'(-7, 17)

These points are now reflected over the y-axis,

Rule for the reflection over the y-axis will be,

(x, y) → (-x, y)

New points by the given rule will be,

M'(15, 4) → M''(-15, 4)

N'(-8, -22) → N''(8, -22)

O'(-7, 17) → O''(7, 17)

answer: the anser is 3

step-by-step explanation:

c- 2o is equal to 9

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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