anonymous
  • anonymous
Triangle STU is similar to triangle VWX. Which statement is true about the two triangles? Angles S and V are congruent. Angles T and U are congruent. Angles T and W are proportional. Angles V and X are proportional.
Mathematics
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
@Anaise
anonymous
  • anonymous
@ganeshie8
anonymous
  • anonymous
@happy_to_help

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anonymous
  • anonymous
plz im taking a test
anonymous
  • anonymous
Angles S and V are congruent. |dw:1444330247536:dw| We are given that the triangle are similar, meaning that their sides are proportional. Given this, no matter what proportionality factor, the angles are always the same.
anonymous
  • anonymous
thanks @CShrix
anonymous
  • anonymous
You are welcome.
anonymous
  • anonymous
:)
happy_to_help
  • happy_to_help
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anonymous
  • anonymous
Are the following figures similar? Rectangles ABCD and EFGH are shown. AB equals 5. BC equals 25. EF equals 3. FG equals 15.
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anonymous
  • anonymous
can you help me here too?
anonymous
  • anonymous
@CShrix @happy_to_help
anonymous
  • anonymous
plz
anonymous
  • anonymous
@CShrix Whered u go? plz help
anonymous
  • anonymous
To find congruence, we need to see if the sides are proportional. Let's look at the top side: \[\frac{25}{15}=\frac{5}{3}\] Left side:\[\frac{5}{3}=\frac{5}{3}\] Therefore, given that the respective sides of the rectangles are congruent with the same constant of proportionality, then the rectangles are similar.
anonymous
  • anonymous
Yes; the corresponding angles are congruent No; the corresponding angles are not congruent Yes; the corresponding sides are proportional No; the corresponding sides are not proportional
anonymous
  • anonymous
so its yes proportional?
anonymous
  • anonymous
It is paramount to know the difference between congruence and equality. These rectangles are not equal (=). They have different dimensions and different areas. However, given that they are proportional, then they are considered congruent or similar (≅)
anonymous
  • anonymous
yes congruent?
anonymous
  • anonymous
i suck at all geometry
anonymous
  • anonymous
Technically, both are true. But all rectangles have 4 right angles. But if we look at any two rectangles with 4 right angles, then they might not be similar. In this case, we proved that the rectangles are similar through the proportionality of their sides lengths. I would pick C.
anonymous
  • anonymous
Thanks :)

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