Natics Grade 8 2020 - 2 Finding the ratio or corresponding sides
E
Given these similar triangles, what is the common ratio
of triangle LJK to triangle FG?
BRE
6.7 ft
45
K.
77'
O 1.5
VX
O2
58
5.6 ft
589
O 3
16.8 ft)
23.1 ft
O4
G
45
/770
20.1 ft

3. parallelogram

step-by-step explanation:

we turn each of our sides into direction vectors

ab=b-a=(3 - 7, 1 - 0) = (-4, 1)

bc=c-b=(1,6)

cd=d-c=(4,-1)

da=a-d=(-1,-6)

we see how the opposite sides have negated direction vectors; this is characteristic of a parallelogram.   we have congruent sides ab=cd and bc=da with unequal lengths because 1^2+6^2 is different from (-4)^2+1^2.   so it's not a square or a rhombus.  

we check the dot product of direction vectors of adjacent sides.   we have

ab dot bc = -4(1) + 1(6) = 2

that's not zero so the sides are not perpendicular.   we've ruled out rectangle.

the direction vectors indicate two pairs of congruent parallel sides, so we choose parallelogram over trapezoid.

i would need to see the dot plot : )

where are the graphs?

step-by-step explanation:

is there more to this question?