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In δabc, ab = x, bc = y, and ca = 2x. a similarity transformation with a scale factor of 0.5 maps δabc to δmno, such that vertices m, n, and o correspond to a, b, and c, respectively. if om = 5, what is ab? a. ab = 2.5 b. ab = 10 c. ab = 5 d. ab = 1.25 e. ab = 2

Sagot :

The value of ab in the similarity transformation from triangle abc to triangle mno is 5

How to determine the value of ab?

The given parameters are:

ab = x, bc = y, and ca = 2x

om = 5

The scale factor from abc to mno is 0.5.

So, we have:

0.5 * ca = om

Substitute om = 5

0.5 * ca = 5

Divide both sides by 0.5

ca = 10

Recall that:

ca = 2x

So, we have:

2x = 10

Divide by 2

x = 5

Recall that:

ab = x

So, we have:

ab = 5

Hence, the value of ab is 5

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