The above figure- if AX -1-2 AB - AY -1-2 AC and AB - AC- what is the relation between AXand AY- AX -2 AY

The correct option is D AX = AY∵ AB = BC, we can say AX =1/2AB and nbsp;AY =1/2AB. From Euclid's axioms, we know, "Things that are equal to the same thing ar ...

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Standard IX

Mathematics

Axioms

the above fig...

Question

In the above figure, if AX = $\frac{1}{2}$ AB, AY = $\frac{1}{2}$ AC and AB = AC, what is the relation between AX and AY?

AX = 2AY

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AX =

\frac{1}{2}

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AX = AY

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AX =

\frac{1}{3}

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Solution

The correct option is C AX = AY
$∵$ AB = BC, we can say
AX = $\frac{1}{2}$ AB and AY = $\frac{1}{2}$ AB.
From Euclid's axioms, we know,
"Things that are equal to the same thing are equal to one another".
$∵$ AX and AY are equal to the same thing i.e., $\frac{1}{2}$ AB,
AX = AY

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In the above figure, if AX =12AB, AY = 12 AC and AB = AC, what is the relation between AX and AY?

The correct option is C AX = AY∵ AB = BC, we can say AX =12AB and AY =12AB. From Euclid's axioms, we know, "Things that are equal to the same thing are equal to one another". ∵ AX and AY are equal to the same thing i.e., 12AB, AX = AY

In the above figure, if AX = $\frac{1}{2}$ AB, AY = $\frac{1}{2}$ AC and AB = AC, what is the relation between AX and AY?

The correct option is C AX = AY
$∵$ AB = BC, we can say
AX = $\frac{1}{2}$ AB and AY = $\frac{1}{2}$ AB.
From Euclid's axioms, we know,
"Things that are equal to the same thing are equal to one another".
$∵$ AX and AY are equal to the same thing i.e., $\frac{1}{2}$ AB,
AX = AY