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LekaFEV [45]
3 years ago
10

Can a trapezoid have congruent diagonals?

Mathematics
1 answer:
Maslowich3 years ago
5 0

Answer:

Yes

Step-by-step explanation:

If the the trapezoid is Isosceles, meaning the legs, or the line segments connecting the bases are equal.

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When you have a scale factor as percentage, is better to convert that percentage into a fraction by divide it by 100%. That way, it will be much easier to scale your figures.

1. 
The scale factor we need to apply to our rectangle is 60%. Firts, lets convert our scale factor into a fraction: \frac{60}{100} = \frac{3}{5}. Next, we just need to multiply each side of our rectangle by our fraction:
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width=8( \frac{3}{5} )=4.8
So, our new rectangle will have a length of 9.6 units and a width of 4.8 units.

2. This time the scale factor is 120%. Just as before, lets convert it into a fraction: \frac{120}{100} = \frac{6}{5}, and just as before lets multiply each side of our triangle by our fraction:
base=10( \frac{6}{5} )=12
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So, our new isosceles triangle will have a base of 12 units and tow sides of length 9.6 units each.

3. This time the scale factor is 150%. Just as before, lets convert it into a fraction: \frac{150}{100} = \frac{3}{2}, and just as before lets multiply each side of our polygon by our fraction:
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So, our new polygon will have a side of 12 length units, tow sides of 15 length units, and two side of 15 length units.

4. This time our factor is 75%. Just as before, lets convert it into a fraction: \frac{75}{100} = \frac{3}{4}, and just as before lets multiply each side of our parallelogram by our fraction:
side=25( \frac{3}{4} )=18.75
So, our new parallelogram will have tow sides of length 18.75 units.

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