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katrin2010 [14]
3 years ago
9

—— ——

Mathematics
1 answer:
blsea [12.9K]3 years ago
5 0

Given: NQ = NT , QS Bisect NT(∴ NS=ST ) , TV Bisects QN (∴ NV=VQ )

To Prove: QS=TV

Proof: In ΔNQT

NQ=NT

\frac{1}{2}NQ=\frac{1}{2}NT

∴ VQ=ST

In a isosceles triangle, If two sides are equal then their opposites angles are equal.

∴ ∠NQT=∠NTQ       ( ∵ NQ=NT)

In ΔQST and TVQ

ST=VQ                    (sides of isosceles triangle)

∠NQT=∠NTQ          (Prove above)

QT=TQ                    (Common)

So, ΔQST ≅ TVQ  by SAS congruence property

∴ QS=TV  (CPCT)

CPCT: Congruent part of congruence triangles.

Hence Proved

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3 years ago
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6 0
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7 0
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Table J

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A direct variation is a simple relationship between x and y.

When you are looking for the direct relationship you should use the formula for it y=kx, or you could just divide y over x (\frac{y}{x}).

<em><u>Analysing Table F:</u></em>

The relationship between x and y is 4.

\frac{-8}{-1}=4\\\\\frac{-4}{-1}=4\\\\\frac{0}{0}= origin\\\\\frac{4}{1}=4

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<em><u>Analysing Table G:</u></em>

The relationship between x and y is 5.

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<em><u>Analysing Table H:</u></em>

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Like I said before the origin doesn't ruin the relationship so it's fine.

<em><u>Analysing Table J:</u></em>

This one doesn't have a direct relationship between x and y.

\frac{1}{1}=1\\\\\frac{4}{2}=2\\\\\frac{9}{3}=3\\\\\frac{16}{4}=4

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