anonymous
  • anonymous
Stan is building a rack for his car audio system. He wants the rack to be two similar triangles where one triangle is smaller than the other. He draws the diagram below and notices that segment XY is parallel to segment AC. Also in order to support the rack he must place a support bar that forms a perpendicular bisector with XY and AC. Why is triangle XYZ similar to triangle AZC?
Algebra
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
|dw:1442343663473:dw|
zepdrix
  • zepdrix
|dw:1442343813170:dw|One is supposed to be smaller than the other right? 0_o Maybe we can exaggerate it like this.
zepdrix
  • zepdrix
We need to show they're similar? Hmm

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anonymous
  • anonymous
they right side is supposed to be smaller. .
zepdrix
  • zepdrix
oh lol :3
anonymous
  • anonymous
my mulitple choices are AA SSS SAS SSA
zepdrix
  • zepdrix
|dw:1442344180754:dw|Vertical angles are congruent. So we can at least cross off SSS.
anonymous
  • anonymous
ok
zepdrix
  • zepdrix
|dw:1442344285604:dw|Maybe we want to be a little more specific and say that these are vertical angles.
zepdrix
  • zepdrix
And then ummm
zepdrix
  • zepdrix
|dw:1442344387863:dw|And since these two triangles are right triangles, they must have the same third angle.
zepdrix
  • zepdrix
|dw:1442344463139:dw|And then I think that's enough to show that they're similar, ya? :o We have two congruent sets of angles.