Triangle EFG has coordinates E(-3, 4), F(-3, -3), and G(4, -3). Triangle JKL has coordinates J(1, 1), K(-6, 1), and L(-6, -6). Use coordinate geometry to determine if these two triangles are congruent. If they are not congruent, state the reason.

They are Congruent Triangles

Step-by-step explanation:

Two figures are congruent if they have the same shape and size.

To determine if Triangle EFG and JKL are congruent, we simply find the length of the sides and do a comparison.

Triangle EFG has coordinates E(-3, 4), F(-3, -3), and G(4, -3).

Distance between two points on the coordinate plane is given by:

√[(x₁-x₂)²+(y₁-y₂)²]

In Triangle EFG,

EF=√[(-3-(-3))²+(4-(-3))²]=√[(-3+3)²+(4+3)²]=√7²=7

EG=√[(-3-4)²+(4+3)²]=√[(-7)²+(7)²]=√98=7√2

FG=√[(-3-4)²+(-3+3)²]=√(-7)²=√49=7

Therefore:

EF=7, EG=7√2 and FG=7

Also in Triangle JKL with coordinates J(1, 1), K(-6, 1), &L(-6, -6).

JK=√[(1+6)²+(1-1)²]=√(7)²=√49=7

JL=√[(1+6)²+(1+6)²]=√98=7√2

KL=√[(-6+6)²+(1+6)²]=√49=7

Therefore:

JK=7, JL=7√2 and KL=7

We can see that the length of the sides of Triangle EFG and JKL are the same. So the two triangles are congruent.

the answer is; biodiversity resulting from few ancestors

adaptive radiation occurs when a population is subjected to a large natural environment with spatial ecological variations. the parts of the population in the different ecologies begin to adapt to their local environments. due to non-random mating across the large populations, this causes the different populations from the large population to speciate within their local environments. they, therefore, diverge to different species sharing a common ancestor.  

its adding 5.5 each time

step-by-step explanation: