Parallelogram with vértices (-10,7) , (7,-4), and (-10,-2)

1 answer:

7 0

So basically in any paralellogram you have 2 pairs sides that are equal length and that are paralell to each other

hmm

we look at them that we have and look for matches

the only match we got is (-10,7) and (-10,-2)
means that one side is from (-10,7) o (-10,-2) and is 9 units long goint up
that (7,-4) must be the other poinr of the other side
since -4<-2, the missing point must be 9 units up from (7,-4)
9-4=3

(7,5) is the missing point

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Answer:

$\angle N\cong \angle Z$

Step-by-step explanation:

Given:

In ΔLMN and ΔXYZ, $MN=3\,,\,LN=2\,,\,YZ=9\,,\,XZ=6$

To find: criteria that needs to be shown to prove ΔLMN $\sim$ ΔXYZ using SAS similarity theorem

Solution:

According to SAS Similarity Theorem, if two sides in one triangle are proportional to two sides in another triangle and the included angle between the sides are congruent, then the two triangles are said to be similar.

In ΔLMN and ΔXYZ,

$\frac{LN}{XZ}=\frac{2}{6}=\frac{1}{3}\\\frac{MN}{YZ}=\frac{3}{9}=\frac{1}{3}\\\therefore \frac{LN}{XZ}=\frac{MN}{YZ}$