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Elza [17]
3 years ago
11

WHAT IS THE CORRECT SCALE FACTOR?

Mathematics
1 answer:
topjm [15]3 years ago
3 0

Answer:

3/7

Step-by-step explanation:

To find the scale factor we have to compare the initial points to the final points, we can do this by observing only one corner of the triangle, as it will apply to the entire triangle.

<u><em>Let's look at C and C'</em></u>

The coordinates of C are (7,-7)

The coordinates of C' are (3,-3)

<u><em>To make things simpler let's find the relationship between our x-coordinates, then test it on our y-coordinates</em></u>

We essentially have to find what 7 is multiplied by to get 3, we'll make an equation

7x=3

Solve for x by dividing both sides by 7

x=3/7     <------- This shows that our scale factor in this case is 3/7

<em><u>Now we will test this on our y-coordinates</u></em>

-7(3/7)=-3

\frac{-7(3)}{7}=-3?

The 7's on the top and bottom simplify to -1

-1(3)=-3?

-3=-3 <------- This is true! So we know this is our scale factor for the entire triangle

Hope I could help!

                                                                         <em>         -Kaylyn</em>

<em />

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\text{Hello there!}\\\\\text{A simple way to find the value of x is to find the scale factor}\\\\\text{When you flip the shapes to make it look exactly the same,}\\\text{you would see that the numbers are divisible to it}\\\\\text{Side 21 is congruent to side 3}\\\\\text{Divide 21 by 3 and you'll get 7 (1/7 sine we're going to a smaller shape)}\\\\\text{The x side is congruent to the 91 side}\\\\\text{Divide 91 by 7}\\\\91\div7=13\\\\\large\boxed{x=13}

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